0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : run_vampire %s %d SAT 0.12/0.33 % Computer : n028.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Wed Jul 30 05:43:34 EDT 2025 0.12/0.33 % CPUTime : 0.12/0.36 This is a TFF_ problem 0.12/0.36 Running first-order model finding 0.12/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc --intent sat -m 16384 --cores 7 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.21/0.49 % (14096)Running in auto input_syntax mode. Trying TPTP 0.21/0.49 % (14099)dis+11_61:31_drc=ordering:lsd=5:abs=on:bsr=unit_only:rp=on:newcnf=on:random_seed=3295661216:i=135531:add=off:rawr=on_1199 on theBenchmark for (1199ds/135531Mi) 0.21/0.49 % (14096)Running in auto input_syntax mode. Trying TPTP 0.21/0.49 % (14098)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3813075913_1199 on theBenchmark for (1199ds/0Mi) 0.21/0.49 % (14096)Running in auto input_syntax mode. Trying TPTP 0.21/0.49 % (14101)dis+10_1_sil=32000:sp=arity:random_seed=329002422:i=103:fgj=on_1199 on theBenchmark for (1199ds/103Mi) 0.21/0.49 % (14096)Running in auto input_syntax mode. Trying TPTP 0.21/0.49 % (14104)ott-3_16_to=lpo:sil=16000:sp=arity:abs=on:fd=off:rp=on:random_seed=942697805:i=159:nicw=on:bs=unit_only:fsr=off:amm=off_1199 on theBenchmark for (1199ds/159Mi) 0.21/0.49 % (14096)Running in auto input_syntax mode. Trying TPTP 0.21/0.49 % (14103)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=811163547:i=131_1199 on theBenchmark for (1199ds/131Mi) 0.21/0.49 % (14096)Running in auto input_syntax mode. Trying TPTP 0.21/0.49 % (14100)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=430358149:gsem=randomized:i=88024:add=on:uhcvi=off:rawr=on_1199 on theBenchmark for (1199ds/88024Mi) 0.21/0.49 % (14096)Running in auto input_syntax mode. Trying TPTP 0.21/0.49 % (14102)ott+31_1_sil=16000:bce=on:lcm=predicate:newcnf=on:random_seed=221349563:i=116_1199 on theBenchmark for (1199ds/116Mi) 1.03/0.54 % (14101)Instruction limit reached! 1.03/0.54 % (14101)------------------------------ 1.03/0.54 % (14101)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.03/0.54 % (14101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.03/0.54 % (14101)Termination reason: Instruction limit 1.03/0.54 % (14101)Termination phase: Saturation 1.03/0.54 1.03/0.54 % (14101)Time elapsed: 0.049 s 1.03/0.54 % (14101)Peak memory usage: 10 MB 1.03/0.54 % (14101)Instructions burned: 103 (million) 1.03/0.54 % (14102)Instruction limit reached! 1.03/0.54 % (14102)------------------------------ 1.03/0.54 % (14102)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.03/0.54 % (14102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.03/0.54 % (14102)Termination reason: Instruction limit 1.03/0.54 % (14102)Termination phase: Property scanning 1.03/0.54 1.03/0.54 % (14102)Time elapsed: 0.050 s 1.03/0.54 % (14102)Peak memory usage: 9 MB 1.03/0.54 % (14102)Instructions burned: 116 (million) 1.14/0.55 % (14103)Instruction limit reached! 1.14/0.55 % (14103)------------------------------ 1.14/0.55 % (14103)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.14/0.55 % (14103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.14/0.55 % (14103)Termination reason: Instruction limit 1.14/0.55 % (14103)Termination phase: Saturation 1.14/0.55 1.14/0.55 % (14103)Time elapsed: 0.065 s 1.14/0.55 % (14103)Peak memory usage: 10 MB 1.14/0.55 % (14103)Instructions burned: 131 (million) 1.14/0.56 % (14104)Instruction limit reached! 1.14/0.56 % (14104)------------------------------ 1.14/0.56 % (14104)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.14/0.56 % (14104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.14/0.56 % (14104)Termination reason: Instruction limit 1.14/0.56 % (14104)Termination phase: Saturation 1.14/0.56 1.14/0.56 % (14104)Time elapsed: 0.071 s 1.14/0.56 % (14104)Peak memory usage: 11 MB 1.14/0.56 % (14104)Instructions burned: 159 (million) 1.14/0.58 % (14096)Running in auto input_syntax mode. Trying TPTP 1.14/0.58 % (14113)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4186939206:i=131:bd=preordered:fsd=on_1198 on theBenchmark for (1198ds/131Mi) 1.14/0.58 % (14096)Running in auto input_syntax mode. Trying TPTP 1.14/0.58 % (14112)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3058898535:i=714:nm=2_1198 on theBenchmark for (1198ds/714Mi) 1.14/0.60 % (14096)Running in auto input_syntax mode. Trying TPTP 1.14/0.60 % (14114)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2553368849:i=684:slsql=off:nicw=on:bs=unit_only:rawr=on_1198 on theBenchmark for (1198ds/684Mi) 1.14/0.60 % (14096)Running in auto input_syntax mode. Trying TPTP 1.14/0.60 % (14115)ott-21_1_sil=16000:fs=off:random_seed=1003627648:i=180:av=off:fsr=off_1198 on theBenchmark for (1198ds/180Mi) 1.14/0.62 % (14113)Instruction limit reached! 1.14/0.62 % (14113)------------------------------ 1.14/0.62 % (14113)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.14/0.62 % (14113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.14/0.62 % (14113)Termination reason: Instruction limit 1.14/0.62 % (14113)Termination phase: Saturation 1.14/0.62 1.14/0.62 % (14113)Time elapsed: 0.036 s 1.14/0.62 % (14113)Peak memory usage: 10 MB 1.14/0.62 % (14113)Instructions burned: 132 (million) 1.49/0.66 % (14115)Instruction limit reached! 1.49/0.66 % (14115)------------------------------ 1.49/0.66 % (14115)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.49/0.66 % (14115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.49/0.66 % (14115)Termination reason: Instruction limit 1.49/0.66 % (14115)Termination phase: Saturation 1.49/0.66 1.49/0.66 % (14115)Time elapsed: 0.053 s 1.49/0.66 % (14115)Peak memory usage: 11 MB 1.49/0.66 % (14115)Instructions burned: 181 (million) 1.49/0.67 % (14096)Running in auto input_syntax mode. Trying TPTP 1.49/0.67 % (14120)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3832104301:i=477:bd=all_1197 on theBenchmark for (1197ds/477Mi) 1.73/0.71 % (14096)Running in auto input_syntax mode. Trying TPTP 1.73/0.71 % (14121)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2483807228:fmbsr=1.3:i=865:ins=25_1197 on theBenchmark for (1197ds/865Mi) 1.93/0.76 % (14112)Instruction limit reached! 1.93/0.76 % (14112)------------------------------ 1.93/0.76 % (14112)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.93/0.76 % (14112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.93/0.76 % (14112)Termination reason: Instruction limit 1.93/0.76 % (14112)Termination phase: Finite model building preprocessing 1.93/0.76 1.93/0.76 % (14112)Time elapsed: 0.177 s 1.93/0.76 % (14112)Peak memory usage: 14 MB 1.93/0.76 % (14112)Instructions burned: 714 (million) 2.22/0.81 % (14096)Running in auto input_syntax mode. Trying TPTP 2.22/0.81 % (14124)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4216872679:i=1179_1196 on theBenchmark for (1196ds/1179Mi) 2.38/0.84 % (14120)Instruction limit reached! 2.38/0.84 % (14120)------------------------------ 2.38/0.84 % (14120)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.38/0.84 % (14120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.38/0.84 % (14120)Termination reason: Instruction limit 2.38/0.84 % (14120)Termination phase: Saturation 2.38/0.84 2.38/0.84 % (14120)Time elapsed: 0.171 s 2.38/0.84 % (14120)Peak memory usage: 13 MB 2.38/0.84 % (14120)Instructions burned: 477 (million) 2.38/0.85 % (14114)Instruction limit reached! 2.38/0.85 % (14114)------------------------------ 2.38/0.85 % (14114)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.38/0.85 % (14114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.38/0.85 % (14114)Termination reason: Instruction limit 2.38/0.85 % (14114)Termination phase: Saturation 2.38/0.85 2.38/0.85 % (14114)Time elapsed: 0.245 s 2.38/0.85 % (14114)Peak memory usage: 16 MB 2.38/0.85 % (14114)Instructions burned: 685 (million) 3.00/0.89 % (14096)Running in auto input_syntax mode. Trying TPTP 3.00/0.89 % (14126)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3003313727:i=889:ins=1_1195 on theBenchmark for (1195ds/889Mi) 3.00/0.89 % (14096)Running in auto input_syntax mode. Trying TPTP 3.00/0.89 % (14127)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:plsqr=128,1:sp=reverse_frequency:bsr=unit_only:rp=on:newcnf=on:random_seed=2721244021:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_1195 on theBenchmark for (1195ds/692Mi) 3.23/0.94 % (14121)Instruction limit reached! 3.23/0.94 % (14121)------------------------------ 3.23/0.94 % (14121)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.23/0.94 % (14121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.23/0.94 % (14121)Termination reason: Instruction limit 3.23/0.94 % (14121)Termination phase: Finite model building preprocessing 3.23/0.94 3.23/0.94 % (14121)Time elapsed: 0.235 s 3.23/0.94 % (14121)Peak memory usage: 23 MB 3.23/0.94 % (14121)Instructions burned: 869 (million) 3.66/0.99 % (14096)Running in auto input_syntax mode. Trying TPTP 3.66/0.99 % (14139)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2335563190:i=879:kws=inv_precedence:fsr=off_1194 on theBenchmark for (1194ds/879Mi) 4.81/1.12 % (14126)Instruction limit reached! 4.81/1.12 % (14126)------------------------------ 4.81/1.12 % (14126)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 4.81/1.12 % (14126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.81/1.12 % (14126)Termination reason: Instruction limit 4.81/1.12 % (14126)Termination phase: Finite model building preprocessing 4.81/1.12 4.81/1.12 % (14126)Time elapsed: 0.228 s 4.81/1.12 % (14126)Peak memory usage: 23 MB 4.81/1.12 % (14126)Instructions burned: 890 (million) 5.21/1.15 % (14127)Instruction limit reached! 5.21/1.15 % (14127)------------------------------ 5.21/1.15 % (14127)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 5.21/1.15 % (14127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.21/1.15 % (14127)Termination reason: Instruction limit 5.21/1.15 % (14127)Termination phase: Saturation 5.21/1.15 5.21/1.15 % (14127)Time elapsed: 0.251 s 5.21/1.15 % (14127)Peak memory usage: 20 MB 5.21/1.15 % (14127)Instructions burned: 693 (million) 5.21/1.16 % (14096)Running in auto input_syntax mode. Trying TPTP 5.21/1.16 % (14214)fmb+10_1_sil=64000:random_seed=2419357280:i=22061:nm=2:gsp=on_1192 on theBenchmark for (1192ds/22061Mi) 5.41/1.19 % (14096)Running in auto input_syntax mode. Trying TPTP 5.41/1.19 % (14225)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=204560563:i=9515:nm=5_1192 on theBenchmark for (1192ds/9515Mi) 5.41/1.20 % (14124)Instruction limit reached! 5.41/1.20 % (14124)------------------------------ 5.41/1.20 % (14124)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 5.41/1.20 % (14124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.41/1.20 % (14124)Termination reason: Instruction limit 5.41/1.20 % (14124)Termination phase: Saturation 5.41/1.20 5.41/1.20 % (14124)Time elapsed: 0.394 s 5.41/1.20 % (14124)Peak memory usage: 26 MB 5.41/1.20 % (14124)Instructions burned: 1179 (million) 5.41/1.22 % (14139)Instruction limit reached! 5.41/1.22 % (14139)------------------------------ 5.41/1.22 % (14139)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 5.41/1.22 % (14139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.41/1.22 % (14139)Termination reason: Instruction limit 5.41/1.22 % (14139)Termination phase: Saturation 5.41/1.22 5.41/1.22 % (14139)Time elapsed: 0.234 s 5.41/1.22 % (14139)Peak memory usage: 15 MB 5.41/1.22 % (14139)Instructions burned: 880 (million) 5.72/1.25 % (14096)Running in auto input_syntax mode. Trying TPTP 5.72/1.25 % (14265)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3629739725:fmbsr=1.7:i=920_1191 on theBenchmark for (1191ds/920Mi) 5.84/1.27 % (14096)Running in auto input_syntax mode. Trying TPTP 5.84/1.27 % (14269)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2875541951:i=5131_1191 on theBenchmark for (1191ds/5131Mi) 6.43/1.49 % (14265)Instruction limit reached! 6.43/1.49 % (14265)------------------------------ 6.43/1.49 % (14265)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.43/1.49 % (14265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.43/1.49 % (14265)Termination reason: Instruction limit 6.43/1.49 % (14265)Termination phase: Finite model building preprocessing 6.43/1.49 6.43/1.49 % (14265)Time elapsed: 0.235 s 6.43/1.49 % (14265)Peak memory usage: 23 MB 6.43/1.49 % (14265)Instructions burned: 924 (million) 6.92/1.53 % (14096)Running in auto input_syntax mode. Trying TPTP 6.92/1.53 % (14379)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4229629705:i=1472:afp=4000:ins=7:aer=on:uhcvi=off:fdi=8:gsp=on_1188 on theBenchmark for (1188ds/1472Mi) 10.29/1.91 % (14379)Instruction limit reached! 10.29/1.91 % (14379)------------------------------ 10.29/1.91 % (14379)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 10.29/1.91 % (14379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.29/1.91 % (14379)Termination reason: Instruction limit 10.29/1.91 % (14379)Termination phase: Saturation 10.29/1.91 10.29/1.91 % (14379)Time elapsed: 0.378 s 10.29/1.91 % (14379)Peak memory usage: 22 MB 10.29/1.91 % (14379)Instructions burned: 1475 (million) 10.82/1.96 % (14096)Running in auto input_syntax mode. Trying TPTP 10.82/1.96 % (14383)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=774362995:i=6324_1184 on theBenchmark for (1184ds/6324Mi) 16.74/2.85 % (14269)Instruction limit reached! 16.74/2.85 % (14269)------------------------------ 16.74/2.85 % (14269)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 16.74/2.85 % (14269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 16.74/2.85 % (14269)Termination reason: Instruction limit 16.74/2.85 % (14269)Termination phase: Saturation 16.74/2.85 16.74/2.85 % (14269)Time elapsed: 1.579 s 16.74/2.85 % (14269)Peak memory usage: 56 MB 16.74/2.85 % (14269)Instructions burned: 5133 (million) 17.60/2.90 % (14096)Running in auto input_syntax mode. Trying TPTP 17.60/2.90 % (14385)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3483323215:fmbsr=2.30978:i=2174_1175 on theBenchmark for (1175ds/2174Mi) 19.42/3.22 % Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] 19.42/3.22 % Detected maximum model sizes of [max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,2,max,max,max] 19.42/3.22 % TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] 19.60/3.23 % TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1] 20.11/3.25 % Finite Model Found! 20.11/3.25 % SZS status Satisfiable for theBenchmark 20.11/3.25 % (14098)First to succeed. 20.11/3.25 % (14098)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14096" 20.11/3.26 % (14096)Running in auto input_syntax mode. Trying TPTP 20.11/3.26 % SZS output start FiniteModel for theBenchmark 20.11/3.26 tff('declare_$i1',type,'fmb_$i_1':$i). 20.11/3.26 tff('finite_domain_$i',axiom, 20.11/3.26 ! [X:$i] : ( 20.11/3.26 X = 'fmb_$i_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_ZF_prod_fun$',type,'ZF_ZF_ZF_prod_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_ZF_prod_fun$1',type,'fmb_ZF_ZF_ZF_prod_fun$_1':'ZF_ZF_ZF_prod_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_ZF_prod_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_ZF_prod_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_ZF_prod_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_B_ZF_fun_set$',type,'B_ZF_fun_set$':$tType). 20.11/3.26 tff('declare_B_ZF_fun_set$1',type,'fmb_B_ZF_fun_set$_1':'B_ZF_fun_set$'). 20.11/3.26 tff('finite_domain_B_ZF_fun_set$',axiom, 20.11/3.26 ! [X:'B_ZF_fun_set$'] : ( 20.11/3.26 X = 'fmb_B_ZF_fun_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_ZF_fun_set$',type,'Nat_ZF_fun_set$':$tType). 20.11/3.26 tff('declare_Nat_ZF_fun_set$1',type,'fmb_Nat_ZF_fun_set$_1':'Nat_ZF_fun_set$'). 20.11/3.26 tff('finite_domain_Nat_ZF_fun_set$',axiom, 20.11/3.26 ! [X:'Nat_ZF_fun_set$'] : ( 20.11/3.26 X = 'fmb_Nat_ZF_fun_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_set_set$',type,'Nat_set_set$':$tType). 20.11/3.26 tff('declare_Nat_set_set$1',type,'fmb_Nat_set_set$_1':'Nat_set_set$'). 20.11/3.26 tff('finite_domain_Nat_set_set$',axiom, 20.11/3.26 ! [X:'Nat_set_set$'] : ( 20.11/3.26 X = 'fmb_Nat_set_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$',type,'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$':$tType). 20.11/3.26 tff('declare_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$1',type,'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1':'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'). 20.11/3.26 tff('finite_domain_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$',axiom, 20.11/3.26 ! [X:'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_ZF_ZF_prod_prod_set$',type,'Nat_ZF_ZF_prod_prod_set$':$tType). 20.11/3.26 tff('declare_Nat_ZF_ZF_prod_prod_set$1',type,'fmb_Nat_ZF_ZF_prod_prod_set$_1':'Nat_ZF_ZF_prod_prod_set$'). 20.11/3.26 tff('finite_domain_Nat_ZF_ZF_prod_prod_set$',axiom, 20.11/3.26 ! [X:'Nat_ZF_ZF_prod_prod_set$'] : ( 20.11/3.26 X = 'fmb_Nat_ZF_ZF_prod_prod_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_nat_ZF_set_ZF_set_prod_fun_fun$',type,'Nat_nat_ZF_set_ZF_set_prod_fun_fun$':$tType). 20.11/3.26 tff('declare_Nat_nat_ZF_set_ZF_set_prod_fun_fun$1',type,'fmb_Nat_nat_ZF_set_ZF_set_prod_fun_fun$_1':'Nat_nat_ZF_set_ZF_set_prod_fun_fun$'). 20.11/3.26 tff('finite_domain_Nat_nat_ZF_set_ZF_set_prod_fun_fun$',axiom, 20.11/3.26 ! [X:'Nat_nat_ZF_set_ZF_set_prod_fun_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_nat_ZF_set_ZF_set_prod_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_ZF_set_ZF_set_prod_fun_fun$',type,'ZF_ZF_ZF_set_ZF_set_prod_fun_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_ZF_set_ZF_set_prod_fun_fun$1',type,'fmb_ZF_ZF_ZF_set_ZF_set_prod_fun_fun$_1':'ZF_ZF_ZF_set_ZF_set_prod_fun_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_ZF_set_ZF_set_prod_fun_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_ZF_set_ZF_set_prod_fun_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_ZF_set_ZF_set_prod_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_set$',type,'ZF_set$':$tType). 20.11/3.26 tff('declare_ZF_set$1',type,'fmb_ZF_set$_1':'ZF_set$'). 20.11/3.26 tff('finite_domain_ZF_set$',axiom, 20.11/3.26 ! [X:'ZF_set$'] : ( 20.11/3.26 X = 'fmb_ZF_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_nat_fun_ZF_set_fun$',type,'Nat_nat_fun_ZF_set_fun$':$tType). 20.11/3.26 tff('declare_Nat_nat_fun_ZF_set_fun$1',type,'fmb_Nat_nat_fun_ZF_set_fun$_1':'Nat_nat_fun_ZF_set_fun$'). 20.11/3.26 tff('finite_domain_Nat_nat_fun_ZF_set_fun$',axiom, 20.11/3.26 ! [X:'Nat_nat_fun_ZF_set_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_nat_fun_ZF_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',type,'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$':$tType). 20.11/3.26 tff('declare_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$1',type,'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'). 20.11/3.26 tff('finite_domain_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',axiom, 20.11/3.26 ! [X:'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'] : ( 20.11/3.26 X = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_nat_set_fun$',type,'ZF_nat_set_fun$':$tType). 20.11/3.26 tff('declare_ZF_nat_set_fun$1',type,'fmb_ZF_nat_set_fun$_1':'ZF_nat_set_fun$'). 20.11/3.26 tff('finite_domain_ZF_nat_set_fun$',axiom, 20.11/3.26 ! [X:'ZF_nat_set_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_nat_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Unit_unit_fun$',type,'Unit_unit_fun$':$tType). 20.11/3.26 tff('declare_Unit_unit_fun$1',type,'fmb_Unit_unit_fun$_1':'Unit_unit_fun$'). 20.11/3.26 tff('finite_domain_Unit_unit_fun$',axiom, 20.11/3.26 ! [X:'Unit_unit_fun$'] : ( 20.11/3.26 X = 'fmb_Unit_unit_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_nat_bool_fun_fun$',type,'ZF_nat_bool_fun_fun$':$tType). 20.11/3.26 tff('declare_ZF_nat_bool_fun_fun$1',type,'fmb_ZF_nat_bool_fun_fun$_1':'ZF_nat_bool_fun_fun$'). 20.11/3.26 tff('finite_domain_ZF_nat_bool_fun_fun$',axiom, 20.11/3.26 ! [X:'ZF_nat_bool_fun_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_nat_bool_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_A_b_b_c_LSCategory_ext_Category_ext$',type,'A_b_b_c_LSCategory_ext_Category_ext$':$tType). 20.11/3.26 tff('declare_A_b_b_c_LSCategory_ext_Category_ext$1',type,'fmb_A_b_b_c_LSCategory_ext_Category_ext$_1':'A_b_b_c_LSCategory_ext_Category_ext$'). 20.11/3.26 tff('finite_domain_A_b_b_c_LSCategory_ext_Category_ext$',axiom, 20.11/3.26 ! [X:'A_b_b_c_LSCategory_ext_Category_ext$'] : ( 20.11/3.26 X = 'fmb_A_b_b_c_LSCategory_ext_Category_ext$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_set_set_ZF_set_set_fun$',type,'Nat_set_set_ZF_set_set_fun$':$tType). 20.11/3.26 tff('declare_Nat_set_set_ZF_set_set_fun$1',type,'fmb_Nat_set_set_ZF_set_set_fun$_1':'Nat_set_set_ZF_set_set_fun$'). 20.11/3.26 tff('finite_domain_Nat_set_set_ZF_set_set_fun$',axiom, 20.11/3.26 ! [X:'Nat_set_set_ZF_set_set_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_set_set_ZF_set_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_b_set_fun$',type,'ZF_b_set_fun$':$tType). 20.11/3.26 tff('declare_ZF_b_set_fun$1',type,'fmb_ZF_b_set_fun$_1':'ZF_b_set_fun$'). 20.11/3.26 tff('finite_domain_ZF_b_set_fun$',axiom, 20.11/3.26 ! [X:'ZF_b_set_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_b_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_ZF_prod_set$',type,'Nat_ZF_prod_set$':$tType). 20.11/3.26 tff('declare_Nat_ZF_prod_set$1',type,'fmb_Nat_ZF_prod_set$_1':'Nat_ZF_prod_set$'). 20.11/3.26 tff('finite_domain_Nat_ZF_prod_set$',axiom, 20.11/3.26 ! [X:'Nat_ZF_prod_set$'] : ( 20.11/3.26 X = 'fmb_Nat_ZF_prod_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_prod_set$',type,'ZF_ZF_prod_set$':$tType). 20.11/3.26 tff('declare_ZF_ZF_prod_set$1',type,'fmb_ZF_ZF_prod_set$_1':'ZF_ZF_prod_set$'). 20.11/3.26 tff('finite_domain_ZF_ZF_prod_set$',axiom, 20.11/3.26 ! [X:'ZF_ZF_prod_set$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_prod_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun$',type,'ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun$1',type,'fmb_ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun$_1':'ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_prod_set_set_ZF_set_set_fun$',type,'ZF_ZF_prod_set_set_ZF_set_set_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_prod_set_set_ZF_set_set_fun$1',type,'fmb_ZF_ZF_prod_set_set_ZF_set_set_fun$_1':'ZF_ZF_prod_set_set_ZF_set_set_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_prod_set_set_ZF_set_set_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_prod_set_set_ZF_set_set_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_prod_set_set_ZF_set_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$',type,'ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$1',type,'fmb_ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$_1':'ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_set_bool_fun_set$',type,'ZF_set_bool_fun_set$':$tType). 20.11/3.26 tff('declare_ZF_set_bool_fun_set$1',type,'fmb_ZF_set_bool_fun_set$_1':'ZF_set_bool_fun_set$'). 20.11/3.26 tff('finite_domain_ZF_set_bool_fun_set$',axiom, 20.11/3.26 ! [X:'ZF_set_bool_fun_set$'] : ( 20.11/3.26 X = 'fmb_ZF_set_bool_fun_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_set_set$',type,'ZF_set_set$':$tType). 20.11/3.26 tff('declare_ZF_set_set$1',type,'fmb_ZF_set_set$_1':'ZF_set_set$'). 20.11/3.26 tff('finite_domain_ZF_set_set$',axiom, 20.11/3.26 ! [X:'ZF_set_set$'] : ( 20.11/3.26 X = 'fmb_ZF_set_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_A_bool_fun_set$',type,'A_bool_fun_set$':$tType). 20.11/3.26 tff('declare_A_bool_fun_set$1',type,'fmb_A_bool_fun_set$_1':'A_bool_fun_set$'). 20.11/3.26 tff('finite_domain_A_bool_fun_set$',axiom, 20.11/3.26 ! [X:'A_bool_fun_set$'] : ( 20.11/3.26 X = 'fmb_A_bool_fun_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_set_ZF_set_fun$',type,'ZF_set_ZF_set_fun$':$tType). 20.11/3.26 tff('declare_ZF_set_ZF_set_fun$1',type,'fmb_ZF_set_ZF_set_fun$_1':'ZF_set_ZF_set_fun$'). 20.11/3.26 tff('finite_domain_ZF_set_ZF_set_fun$',axiom, 20.11/3.26 ! [X:'ZF_set_ZF_set_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_set_ZF_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_prod_ZF_ZF_prod_fun$',type,'ZF_ZF_prod_ZF_ZF_prod_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_prod_ZF_ZF_prod_fun$1',type,'fmb_ZF_ZF_prod_ZF_ZF_prod_fun$_1':'ZF_ZF_prod_ZF_ZF_prod_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_prod_ZF_ZF_prod_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_prod_ZF_ZF_prod_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_prod_ZF_ZF_prod_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_set_fun$',type,'ZF_ZF_set_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_set_fun$1',type,'fmb_ZF_ZF_set_fun$_1':'ZF_ZF_set_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_set_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_set_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_A_b_fun_set$',type,'A_b_fun_set$':$tType). 20.11/3.26 tff('declare_A_b_fun_set$1',type,'fmb_A_b_fun_set$_1':'A_b_fun_set$'). 20.11/3.26 tff('finite_domain_A_b_fun_set$',axiom, 20.11/3.26 ! [X:'A_b_fun_set$'] : ( 20.11/3.26 X = 'fmb_A_b_fun_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_set_ZF_set_prod_set$',type,'ZF_set_ZF_set_prod_set$':$tType). 20.11/3.26 tff('declare_ZF_set_ZF_set_prod_set$1',type,'fmb_ZF_set_ZF_set_prod_set$_1':'ZF_set_ZF_set_prod_set$'). 20.11/3.26 tff('finite_domain_ZF_set_ZF_set_prod_set$',axiom, 20.11/3.26 ! [X:'ZF_set_ZF_set_prod_set$'] : ( 20.11/3.26 X = 'fmb_ZF_set_ZF_set_prod_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_fun_ZF_set_fun$',type,'ZF_ZF_fun_ZF_set_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_fun_ZF_set_fun$1',type,'fmb_ZF_ZF_fun_ZF_set_fun$_1':'ZF_ZF_fun_ZF_set_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_fun_ZF_set_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_fun_ZF_set_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_fun_ZF_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_a_fun$',type,'Nat_a_fun$':$tType). 20.11/3.26 tff('declare_Nat_a_fun$1',type,'fmb_Nat_a_fun$_1':'Nat_a_fun$'). 20.11/3.26 tff('finite_domain_Nat_a_fun$',axiom, 20.11/3.26 ! [X:'Nat_a_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_a_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_A_set_set$',type,'A_set_set$':$tType). 20.11/3.26 tff('declare_A_set_set$1',type,'fmb_A_set_set$_1':'A_set_set$'). 20.11/3.26 tff('finite_domain_A_set_set$',axiom, 20.11/3.26 ! [X:'A_set_set$'] : ( 20.11/3.26 X = 'fmb_A_set_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_nat_fun_set$',type,'Nat_nat_fun_set$':$tType). 20.11/3.26 tff('declare_Nat_nat_fun_set$1',type,'fmb_Nat_nat_fun_set$_1':'Nat_nat_fun_set$'). 20.11/3.26 tff('finite_domain_Nat_nat_fun_set$',axiom, 20.11/3.26 ! [X:'Nat_nat_fun_set$'] : ( 20.11/3.26 X = 'fmb_Nat_nat_fun_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_prod_ZF_fun$',type,'ZF_ZF_prod_ZF_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_prod_ZF_fun$1',type,'fmb_ZF_ZF_prod_ZF_fun$_1':'ZF_ZF_prod_ZF_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_prod_ZF_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_prod_ZF_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_prod_ZF_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_nat_ZF_ZF_prod_set_fun_fun$',type,'ZF_nat_ZF_ZF_prod_set_fun_fun$':$tType). 20.11/3.26 tff('declare_ZF_nat_ZF_ZF_prod_set_fun_fun$1',type,'fmb_ZF_nat_ZF_ZF_prod_set_fun_fun$_1':'ZF_nat_ZF_ZF_prod_set_fun_fun$'). 20.11/3.26 tff('finite_domain_ZF_nat_ZF_ZF_prod_set_fun_fun$',axiom, 20.11/3.26 ! [X:'ZF_nat_ZF_ZF_prod_set_fun_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_nat_ZF_ZF_prod_set_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_B_c_LSCategory_ext$',type,'B_c_LSCategory_ext$':$tType). 20.11/3.26 tff('declare_B_c_LSCategory_ext$1',type,'fmb_B_c_LSCategory_ext$_1':'B_c_LSCategory_ext$'). 20.11/3.26 tff('finite_domain_B_c_LSCategory_ext$',axiom, 20.11/3.26 ! [X:'B_c_LSCategory_ext$'] : ( 20.11/3.26 X = 'fmb_B_c_LSCategory_ext$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_set_set_nat_set_fun$',type,'Nat_set_set_nat_set_fun$':$tType). 20.11/3.26 tff('declare_Nat_set_set_nat_set_fun$1',type,'fmb_Nat_set_set_nat_set_fun$_1':'Nat_set_set_nat_set_fun$'). 20.11/3.26 tff('finite_domain_Nat_set_set_nat_set_fun$',axiom, 20.11/3.26 ! [X:'Nat_set_set_nat_set_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_set_set_nat_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun$',type,'ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun$1',type,'fmb_ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun$_1':'ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$',type,'ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$1',type,'fmb_ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$_1':'ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_B_b_fun$',type,'B_b_fun$':$tType). 20.11/3.26 tff('declare_B_b_fun$1',type,'fmb_B_b_fun$_1':'B_b_fun$'). 20.11/3.26 tff('finite_domain_B_b_fun$',axiom, 20.11/3.26 ! [X:'B_b_fun$'] : ( 20.11/3.26 X = 'fmb_B_b_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_nat_ZF_set_ZF_set_prod_fun_fun$',type,'ZF_nat_ZF_set_ZF_set_prod_fun_fun$':$tType). 20.11/3.26 tff('declare_ZF_nat_ZF_set_ZF_set_prod_fun_fun$1',type,'fmb_ZF_nat_ZF_set_ZF_set_prod_fun_fun$_1':'ZF_nat_ZF_set_ZF_set_prod_fun_fun$'). 20.11/3.26 tff('finite_domain_ZF_nat_ZF_set_ZF_set_prod_fun_fun$',axiom, 20.11/3.26 ! [X:'ZF_nat_ZF_set_ZF_set_prod_fun_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_nat_ZF_set_ZF_set_prod_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_set_prod_set$',type,'ZF_ZF_set_prod_set$':$tType). 20.11/3.26 tff('declare_ZF_ZF_set_prod_set$1',type,'fmb_ZF_ZF_set_prod_set$_1':'ZF_ZF_set_prod_set$'). 20.11/3.26 tff('finite_domain_ZF_ZF_set_prod_set$',axiom, 20.11/3.26 ! [X:'ZF_ZF_set_prod_set$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_set_prod_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_ZF_bool_fun_fun$',type,'Nat_ZF_bool_fun_fun$':$tType). 20.11/3.26 tff('declare_Nat_ZF_bool_fun_fun$1',type,'fmb_Nat_ZF_bool_fun_fun$_1':'Nat_ZF_bool_fun_fun$'). 20.11/3.26 tff('finite_domain_Nat_ZF_bool_fun_fun$',axiom, 20.11/3.26 ! [X:'Nat_ZF_bool_fun_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_ZF_bool_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_nat_prod_ZF_ZF_prod_set_fun$',type,'ZF_nat_prod_ZF_ZF_prod_set_fun$':$tType). 20.11/3.26 tff('declare_ZF_nat_prod_ZF_ZF_prod_set_fun$1',type,'fmb_ZF_nat_prod_ZF_ZF_prod_set_fun$_1':'ZF_nat_prod_ZF_ZF_prod_set_fun$'). 20.11/3.26 tff('finite_domain_ZF_nat_prod_ZF_ZF_prod_set_fun$',axiom, 20.11/3.26 ! [X:'ZF_nat_prod_ZF_ZF_prod_set_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_nat_prod_ZF_ZF_prod_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_ZF_set_prod_fun$',type,'ZF_ZF_ZF_set_prod_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_ZF_set_prod_fun$1',type,'fmb_ZF_ZF_ZF_set_prod_fun$_1':'ZF_ZF_ZF_set_prod_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_ZF_set_prod_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_ZF_set_prod_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_ZF_set_prod_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_ZF_ZF_prod_fun_fun$',type,'ZF_ZF_ZF_ZF_prod_fun_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_ZF_ZF_prod_fun_fun$1',type,'fmb_ZF_ZF_ZF_ZF_prod_fun_fun$_1':'ZF_ZF_ZF_ZF_prod_fun_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_ZF_ZF_prod_fun_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_ZF_ZF_prod_fun_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_ZF_ZF_prod_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_ZF_prod_set_fun$',type,'ZF_ZF_ZF_prod_set_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_ZF_prod_set_fun$1',type,'fmb_ZF_ZF_ZF_prod_set_fun$_1':'ZF_ZF_ZF_prod_set_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_ZF_prod_set_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_ZF_prod_set_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_ZF_prod_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_prod_ZF_set_fun$',type,'ZF_ZF_prod_ZF_set_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_prod_ZF_set_fun$1',type,'fmb_ZF_ZF_prod_ZF_set_fun$_1':'ZF_ZF_prod_ZF_set_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_prod_ZF_set_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_prod_ZF_set_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_prod_ZF_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$',type,'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$':$tType). 20.11/3.26 tff('declare_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$1',type,'fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$_1':'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'). 20.11/3.26 tff('finite_domain_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$',axiom, 20.11/3.26 ! [X:'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'] : ( 20.11/3.26 X = 'fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_prod_nat_set_fun$',type,'ZF_ZF_prod_nat_set_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_prod_nat_set_fun$1',type,'fmb_ZF_ZF_prod_nat_set_fun$_1':'ZF_ZF_prod_nat_set_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_prod_nat_set_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_prod_nat_set_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_prod_nat_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_nat_ZF_set_fun_fun$',type,'ZF_nat_ZF_set_fun_fun$':$tType). 20.11/3.26 tff('declare_ZF_nat_ZF_set_fun_fun$1',type,'fmb_ZF_nat_ZF_set_fun_fun$_1':'ZF_nat_ZF_set_fun_fun$'). 20.11/3.26 tff('finite_domain_ZF_nat_ZF_set_fun_fun$',axiom, 20.11/3.26 ! [X:'ZF_nat_ZF_set_fun_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_nat_ZF_set_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_prod$',type,'ZF_ZF_prod$':$tType). 20.11/3.26 tff('declare_ZF_ZF_prod$1',type,'fmb_ZF_ZF_prod$_1':'ZF_ZF_prod$'). 20.11/3.26 tff('finite_domain_ZF_ZF_prod$',axiom, 20.11/3.26 ! [X:'ZF_ZF_prod$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_prod$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_B_a_set_fun$',type,'B_a_set_fun$':$tType). 20.11/3.26 tff('declare_B_a_set_fun$1',type,'fmb_B_a_set_fun$_1':'B_a_set_fun$'). 20.11/3.26 tff('finite_domain_B_a_set_fun$',axiom, 20.11/3.26 ! [X:'B_a_set_fun$'] : ( 20.11/3.26 X = 'fmb_B_a_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$',type,'Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$':$tType). 20.11/3.26 tff('declare_Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$1',type,'fmb_Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$_1':'Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$'). 20.11/3.26 tff('finite_domain_Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$',axiom, 20.11/3.26 ! [X:'Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_B_b_prod_set$',type,'B_b_prod_set$':$tType). 20.11/3.26 tff('declare_B_b_prod_set$1',type,'fmb_B_b_prod_set$_1':'B_b_prod_set$'). 20.11/3.26 tff('finite_domain_B_b_prod_set$',axiom, 20.11/3.26 ! [X:'B_b_prod_set$'] : ( 20.11/3.26 X = 'fmb_B_b_prod_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_set_set_fun$',type,'ZF_ZF_set_set_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_set_set_fun$1',type,'fmb_ZF_ZF_set_set_fun$_1':'ZF_ZF_set_set_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_set_set_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_set_set_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_set_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_ZF_set_prod_set$',type,'Nat_ZF_set_prod_set$':$tType). 20.11/3.26 tff('declare_Nat_ZF_set_prod_set$1',type,'fmb_Nat_ZF_set_prod_set$_1':'Nat_ZF_set_prod_set$'). 20.11/3.26 tff('finite_domain_Nat_ZF_set_prod_set$',axiom, 20.11/3.26 ! [X:'Nat_ZF_set_prod_set$'] : ( 20.11/3.26 X = 'fmb_Nat_ZF_set_prod_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_prod_ZF_ZF_prod_prod_set$',type,'ZF_ZF_prod_ZF_ZF_prod_prod_set$':$tType). 20.11/3.26 tff('declare_ZF_ZF_prod_ZF_ZF_prod_prod_set$1',type,'fmb_ZF_ZF_prod_ZF_ZF_prod_prod_set$_1':'ZF_ZF_prod_ZF_ZF_prod_prod_set$'). 20.11/3.26 tff('finite_domain_ZF_ZF_prod_ZF_ZF_prod_prod_set$',axiom, 20.11/3.26 ! [X:'ZF_ZF_prod_ZF_ZF_prod_prod_set$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_prod_ZF_ZF_prod_prod_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_nat_prod_set$',type,'Nat_nat_prod_set$':$tType). 20.11/3.26 tff('declare_Nat_nat_prod_set$1',type,'fmb_Nat_nat_prod_set$_1':'Nat_nat_prod_set$'). 20.11/3.26 tff('finite_domain_Nat_nat_prod_set$',axiom, 20.11/3.26 ! [X:'Nat_nat_prod_set$'] : ( 20.11/3.26 X = 'fmb_Nat_nat_prod_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_B$',type,'B$':$tType). 20.11/3.26 tff('declare_B$1',type,'fmb_B$_1':'B$'). 20.11/3.26 tff('finite_domain_B$',axiom, 20.11/3.26 ! [X:'B$'] : ( 20.11/3.26 X = 'fmb_B$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_set_set_bool_fun$',type,'ZF_set_set_bool_fun$':$tType). 20.11/3.26 tff('declare_ZF_set_set_bool_fun$1',type,'fmb_ZF_set_set_bool_fun$_1':'ZF_set_set_bool_fun$'). 20.11/3.26 tff('finite_domain_ZF_set_set_bool_fun$',axiom, 20.11/3.26 ! [X:'ZF_set_set_bool_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_set_set_bool_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_ZF_fun_fun$',type,'ZF_ZF_ZF_fun_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_ZF_fun_fun$1',type,'fmb_ZF_ZF_ZF_fun_fun$_1':'ZF_ZF_ZF_fun_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_ZF_fun_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_ZF_fun_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_ZF_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_A_ZF_set_fun$',type,'A_ZF_set_fun$':$tType). 20.11/3.26 tff('declare_A_ZF_set_fun$1',type,'fmb_A_ZF_set_fun$_1':'A_ZF_set_fun$'). 20.11/3.26 tff('finite_domain_A_ZF_set_fun$',axiom, 20.11/3.26 ! [X:'A_ZF_set_fun$'] : ( 20.11/3.26 X = 'fmb_A_ZF_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_B_bool_fun_set$',type,'B_bool_fun_set$':$tType). 20.11/3.26 tff('declare_B_bool_fun_set$1',type,'fmb_B_bool_fun_set$_1':'B_bool_fun_set$'). 20.11/3.26 tff('finite_domain_B_bool_fun_set$',axiom, 20.11/3.26 ! [X:'B_bool_fun_set$'] : ( 20.11/3.26 X = 'fmb_B_bool_fun_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_set_a_fun$',type,'ZF_set_a_fun$':$tType). 20.11/3.26 tff('declare_ZF_set_a_fun$1',type,'fmb_ZF_set_a_fun$_1':'ZF_set_a_fun$'). 20.11/3.26 tff('finite_domain_ZF_set_a_fun$',axiom, 20.11/3.26 ! [X:'ZF_set_a_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_set_a_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_nat_fun_set$',type,'ZF_nat_fun_set$':$tType). 20.11/3.26 tff('declare_ZF_nat_fun_set$1',type,'fmb_ZF_nat_fun_set$_1':'ZF_nat_fun_set$'). 20.11/3.26 tff('finite_domain_ZF_nat_fun_set$',axiom, 20.11/3.26 ! [X:'ZF_nat_fun_set$'] : ( 20.11/3.26 X = 'fmb_ZF_nat_fun_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_B_ZF_set_fun$',type,'B_ZF_set_fun$':$tType). 20.11/3.26 tff('declare_B_ZF_set_fun$1',type,'fmb_B_ZF_set_fun$_1':'B_ZF_set_fun$'). 20.11/3.26 tff('finite_domain_B_ZF_set_fun$',axiom, 20.11/3.26 ! [X:'B_ZF_set_fun$'] : ( 20.11/3.26 X = 'fmb_B_ZF_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun$',type,'ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun$1',type,'fmb_ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun$_1':'ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_ZF_set_fun_fun$',type,'ZF_ZF_ZF_set_fun_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_ZF_set_fun_fun$1',type,'fmb_ZF_ZF_ZF_set_fun_fun$_1':'ZF_ZF_ZF_set_fun_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_ZF_set_fun_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_ZF_set_fun_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_ZF_set_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_ZF_ZF_set_ZF_set_prod_fun_fun$',type,'Nat_ZF_ZF_set_ZF_set_prod_fun_fun$':$tType). 20.11/3.26 tff('declare_Nat_ZF_ZF_set_ZF_set_prod_fun_fun$1',type,'fmb_Nat_ZF_ZF_set_ZF_set_prod_fun_fun$_1':'Nat_ZF_ZF_set_ZF_set_prod_fun_fun$'). 20.11/3.26 tff('finite_domain_Nat_ZF_ZF_set_ZF_set_prod_fun_fun$',axiom, 20.11/3.26 ! [X:'Nat_ZF_ZF_set_ZF_set_prod_fun_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_ZF_ZF_set_ZF_set_prod_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_set_set_ZF_set_bool_fun_fun$',type,'ZF_set_set_ZF_set_bool_fun_fun$':$tType). 20.11/3.26 tff('declare_ZF_set_set_ZF_set_bool_fun_fun$1',type,'fmb_ZF_set_set_ZF_set_bool_fun_fun$_1':'ZF_set_set_ZF_set_bool_fun_fun$'). 20.11/3.26 tff('finite_domain_ZF_set_set_ZF_set_bool_fun_fun$',axiom, 20.11/3.26 ! [X:'ZF_set_set_ZF_set_bool_fun_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_set_set_ZF_set_bool_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_set_ZF_set_prod_fun$',type,'ZF_ZF_set_ZF_set_prod_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_set_ZF_set_prod_fun$1',type,'fmb_ZF_ZF_set_ZF_set_prod_fun$_1':'ZF_ZF_set_ZF_set_prod_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_set_ZF_set_prod_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_set_ZF_set_prod_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_set_ZF_set_prod_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$',type,'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$':$tType). 20.11/3.26 tff('declare_ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$1',type,'fmb_ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$_1':'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$'). 20.11/3.26 tff('finite_domain_ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$',axiom, 20.11/3.26 ! [X:'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$'] : ( 20.11/3.26 X = 'fmb_ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_nat_fun$',type,'Nat_nat_fun$':$tType). 20.11/3.26 tff('declare_Nat_nat_fun$1',type,'fmb_Nat_nat_fun$_1':'Nat_nat_fun$'). 20.11/3.26 tff('finite_domain_Nat_nat_fun$',axiom, 20.11/3.26 ! [X:'Nat_nat_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_nat_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_C$',type,'C$':$tType). 20.11/3.26 tff('declare_C$1',type,'fmb_C$_1':'C$'). 20.11/3.26 tff('finite_domain_C$',axiom, 20.11/3.26 ! [X:'C$'] : ( 20.11/3.26 X = 'fmb_C$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_a_set_fun$',type,'ZF_a_set_fun$':$tType). 20.11/3.26 tff('declare_ZF_a_set_fun$1',type,'fmb_ZF_a_set_fun$_1':'ZF_a_set_fun$'). 20.11/3.26 tff('finite_domain_ZF_a_set_fun$',axiom, 20.11/3.26 ! [X:'ZF_a_set_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_a_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_b_fun$',type,'ZF_b_fun$':$tType). 20.11/3.26 tff('declare_ZF_b_fun$1',type,'fmb_ZF_b_fun$_1':'ZF_b_fun$'). 20.11/3.26 tff('finite_domain_ZF_b_fun$',axiom, 20.11/3.26 ! [X:'ZF_b_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_b_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_set_set_set_ZF_set_set_fun$',type,'ZF_set_set_set_ZF_set_set_fun$':$tType). 20.11/3.26 tff('declare_ZF_set_set_set_ZF_set_set_fun$1',type,'fmb_ZF_set_set_set_ZF_set_set_fun$_1':'ZF_set_set_set_ZF_set_set_fun$'). 20.11/3.26 tff('finite_domain_ZF_set_set_set_ZF_set_set_fun$',axiom, 20.11/3.26 ! [X:'ZF_set_set_set_ZF_set_set_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_set_set_set_ZF_set_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat$',type,'Nat$':$tType). 20.11/3.26 tff('declare_Nat$1',type,'fmb_Nat$_1':'Nat$'). 20.11/3.26 tff('finite_domain_Nat$',axiom, 20.11/3.26 ! [X:'Nat$'] : ( 20.11/3.26 X = 'fmb_Nat$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_ZF_set_set_fun$',type,'Nat_ZF_set_set_fun$':$tType). 20.11/3.26 tff('declare_Nat_ZF_set_set_fun$1',type,'fmb_Nat_ZF_set_set_fun$_1':'Nat_ZF_set_set_fun$'). 20.11/3.26 tff('finite_domain_Nat_ZF_set_set_fun$',axiom, 20.11/3.26 ! [X:'Nat_ZF_set_set_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_ZF_set_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_set_ZF_set_set_fun$',type,'Nat_set_ZF_set_set_fun$':$tType). 20.11/3.26 tff('declare_Nat_set_ZF_set_set_fun$1',type,'fmb_Nat_set_ZF_set_set_fun$_1':'Nat_set_ZF_set_set_fun$'). 20.11/3.26 tff('finite_domain_Nat_set_ZF_set_set_fun$',axiom, 20.11/3.26 ! [X:'Nat_set_ZF_set_set_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_set_ZF_set_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_nat_prod_ZF_ZF_prod_set_fun$',type,'Nat_nat_prod_ZF_ZF_prod_set_fun$':$tType). 20.11/3.26 tff('declare_Nat_nat_prod_ZF_ZF_prod_set_fun$1',type,'fmb_Nat_nat_prod_ZF_ZF_prod_set_fun$_1':'Nat_nat_prod_ZF_ZF_prod_set_fun$'). 20.11/3.26 tff('finite_domain_Nat_nat_prod_ZF_ZF_prod_set_fun$',axiom, 20.11/3.26 ! [X:'Nat_nat_prod_ZF_ZF_prod_set_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_nat_prod_ZF_ZF_prod_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_B_b_prod_bool_fun$',type,'B_b_prod_bool_fun$':$tType). 20.11/3.26 tff('declare_B_b_prod_bool_fun$1',type,'fmb_B_b_prod_bool_fun$_1':'B_b_prod_bool_fun$'). 20.11/3.26 tff('finite_domain_B_b_prod_bool_fun$',axiom, 20.11/3.26 ! [X:'B_b_prod_bool_fun$'] : ( 20.11/3.26 X = 'fmb_B_b_prod_bool_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_ZF_ZF_prod_fun$',type,'Nat_ZF_ZF_prod_fun$':$tType). 20.11/3.26 tff('declare_Nat_ZF_ZF_prod_fun$1',type,'fmb_Nat_ZF_ZF_prod_fun$_1':'Nat_ZF_ZF_prod_fun$'). 20.11/3.26 tff('finite_domain_Nat_ZF_ZF_prod_fun$',axiom, 20.11/3.26 ! [X:'Nat_ZF_ZF_prod_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_ZF_ZF_prod_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_prod_ZF_fun_set$',type,'ZF_ZF_prod_ZF_fun_set$':$tType). 20.11/3.26 tff('declare_ZF_ZF_prod_ZF_fun_set$1',type,'fmb_ZF_ZF_prod_ZF_fun_set$_1':'ZF_ZF_prod_ZF_fun_set$'). 20.11/3.26 tff('finite_domain_ZF_ZF_prod_ZF_fun_set$',axiom, 20.11/3.26 ! [X:'ZF_ZF_prod_ZF_fun_set$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_prod_ZF_fun_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_fun$',type,'ZF_ZF_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_fun$1',type,'fmb_ZF_ZF_fun$_1':'ZF_ZF_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_prod_bool_fun$',type,'ZF_ZF_prod_bool_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_prod_bool_fun$1',type,'fmb_ZF_ZF_prod_bool_fun$_1':'ZF_ZF_prod_bool_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_prod_bool_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_prod_bool_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_prod_bool_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_set_set_ZF_set_set_set_fun$',type,'ZF_set_set_ZF_set_set_set_fun$':$tType). 20.11/3.26 tff('declare_ZF_set_set_ZF_set_set_set_fun$1',type,'fmb_ZF_set_set_ZF_set_set_set_fun$_1':'ZF_set_set_ZF_set_set_set_fun$'). 20.11/3.26 tff('finite_domain_ZF_set_set_ZF_set_set_set_fun$',axiom, 20.11/3.26 ! [X:'ZF_set_set_ZF_set_set_set_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_set_set_ZF_set_set_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_set_ZF_set_fun$',type,'Nat_set_ZF_set_fun$':$tType). 20.11/3.26 tff('declare_Nat_set_ZF_set_fun$1',type,'fmb_Nat_set_ZF_set_fun$_1':'Nat_set_ZF_set_fun$'). 20.11/3.26 tff('finite_domain_Nat_set_ZF_set_fun$',axiom, 20.11/3.26 ! [X:'Nat_set_ZF_set_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_set_ZF_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_fun_set$',type,'ZF_ZF_fun_set$':$tType). 20.11/3.26 tff('declare_ZF_ZF_fun_set$1',type,'fmb_ZF_ZF_fun_set$_1':'ZF_ZF_fun_set$'). 20.11/3.26 tff('finite_domain_ZF_ZF_fun_set$',axiom, 20.11/3.26 ! [X:'ZF_ZF_fun_set$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_fun_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_prod_nat_prod_set$',type,'ZF_ZF_prod_nat_prod_set$':$tType). 20.11/3.26 tff('declare_ZF_ZF_prod_nat_prod_set$1',type,'fmb_ZF_ZF_prod_nat_prod_set$_1':'ZF_ZF_prod_nat_prod_set$'). 20.11/3.26 tff('finite_domain_ZF_ZF_prod_nat_prod_set$',axiom, 20.11/3.26 ! [X:'ZF_ZF_prod_nat_prod_set$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_prod_nat_prod_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_B_b_prod_b_fun_set$',type,'B_b_prod_b_fun_set$':$tType). 20.11/3.26 tff('declare_B_b_prod_b_fun_set$1',type,'fmb_B_b_prod_b_fun_set$_1':'B_b_prod_b_fun_set$'). 20.11/3.26 tff('finite_domain_B_b_prod_b_fun_set$',axiom, 20.11/3.26 ! [X:'B_b_prod_b_fun_set$'] : ( 20.11/3.26 X = 'fmb_B_b_prod_b_fun_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_nat_prod_ZF_set_ZF_set_prod_fun$',type,'Nat_nat_prod_ZF_set_ZF_set_prod_fun$':$tType). 20.11/3.26 tff('declare_Nat_nat_prod_ZF_set_ZF_set_prod_fun$1',type,'fmb_Nat_nat_prod_ZF_set_ZF_set_prod_fun$_1':'Nat_nat_prod_ZF_set_ZF_set_prod_fun$'). 20.11/3.26 tff('finite_domain_Nat_nat_prod_ZF_set_ZF_set_prod_fun$',axiom, 20.11/3.26 ! [X:'Nat_nat_prod_ZF_set_ZF_set_prod_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_nat_prod_ZF_set_ZF_set_prod_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_ZF_prod_prod_set$',type,'ZF_ZF_ZF_prod_prod_set$':$tType). 20.11/3.26 tff('declare_ZF_ZF_ZF_prod_prod_set$1',type,'fmb_ZF_ZF_ZF_prod_prod_set$_1':'ZF_ZF_ZF_prod_prod_set$'). 20.11/3.26 tff('finite_domain_ZF_ZF_ZF_prod_prod_set$',axiom, 20.11/3.26 ! [X:'ZF_ZF_ZF_prod_prod_set$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_ZF_prod_prod_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_set_ZF_prod$',type,'ZF_set_ZF_prod$':$tType). 20.11/3.26 tff('declare_ZF_set_ZF_prod$1',type,'fmb_ZF_set_ZF_prod$_1':'ZF_set_ZF_prod$'). 20.11/3.26 tff('finite_domain_ZF_set_ZF_prod$',axiom, 20.11/3.26 ! [X:'ZF_set_ZF_prod$'] : ( 20.11/3.26 X = 'fmb_ZF_set_ZF_prod$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_ZF_set_ZF_set_prod_fun$',type,'Nat_ZF_set_ZF_set_prod_fun$':$tType). 20.11/3.26 tff('declare_Nat_ZF_set_ZF_set_prod_fun$1',type,'fmb_Nat_ZF_set_ZF_set_prod_fun$_1':'Nat_ZF_set_ZF_set_prod_fun$'). 20.11/3.26 tff('finite_domain_Nat_ZF_set_ZF_set_prod_fun$',axiom, 20.11/3.26 ! [X:'Nat_ZF_set_ZF_set_prod_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_ZF_set_ZF_set_prod_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_prod_set_set$',type,'ZF_ZF_prod_set_set$':$tType). 20.11/3.26 tff('declare_ZF_ZF_prod_set_set$1',type,'fmb_ZF_ZF_prod_set_set$_1':'ZF_ZF_prod_set_set$'). 20.11/3.26 tff('finite_domain_ZF_ZF_prod_set_set$',axiom, 20.11/3.26 ! [X:'ZF_ZF_prod_set_set$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_prod_set_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_B_a_fun$',type,'B_a_fun$':$tType). 20.11/3.26 tff('declare_B_a_fun$1',type,'fmb_B_a_fun$_1':'B_a_fun$'). 20.11/3.26 tff('finite_domain_B_a_fun$',axiom, 20.11/3.26 ! [X:'B_a_fun$'] : ( 20.11/3.26 X = 'fmb_B_a_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_a_fun$',type,'ZF_a_fun$':$tType). 20.11/3.26 tff('declare_ZF_a_fun$1',type,'fmb_ZF_a_fun$_1':'ZF_a_fun$'). 20.11/3.26 tff('finite_domain_ZF_a_fun$',axiom, 20.11/3.26 ! [X:'ZF_a_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_a_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_set_prod$',type,'ZF_ZF_set_prod$':$tType). 20.11/3.26 tff('declare_ZF_ZF_set_prod$1',type,'fmb_ZF_ZF_set_prod$_1':'ZF_ZF_set_prod$'). 20.11/3.26 tff('finite_domain_ZF_ZF_set_prod$',axiom, 20.11/3.26 ! [X:'ZF_ZF_set_prod$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_set_prod$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_ZF_set_fun$',type,'Nat_ZF_set_fun$':$tType). 20.11/3.26 tff('declare_Nat_ZF_set_fun$1',type,'fmb_Nat_ZF_set_fun$_1':'Nat_ZF_set_fun$'). 20.11/3.26 tff('finite_domain_Nat_ZF_set_fun$',axiom, 20.11/3.26 ! [X:'Nat_ZF_set_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_ZF_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff(declare_tlbool,type,tlbool:$tType). 20.11/3.26 tff(declare_tlbool1,type,fmb_tlbool_1:tlbool). 20.11/3.26 tff(declare_tlbool2,type,fmb_tlbool_2:tlbool). 20.11/3.26 tff(finite_domain_tlbool,axiom, 20.11/3.26 ! [X:tlbool] : ( 20.11/3.26 X = fmb_tlbool_1 | X = fmb_tlbool_2 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff(distinct_domain_tlbool,axiom, 20.11/3.26 fmb_tlbool_1 != fmb_tlbool_2 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_ZF_nat_prod_set$',type,'ZF_nat_prod_set$':$tType). 20.11/3.26 tff('declare_ZF_nat_prod_set$1',type,'fmb_ZF_nat_prod_set$_1':'ZF_nat_prod_set$'). 20.11/3.26 tff('finite_domain_ZF_nat_prod_set$',axiom, 20.11/3.26 ! [X:'ZF_nat_prod_set$'] : ( 20.11/3.26 X = 'fmb_ZF_nat_prod_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_prod_ZF_set_ZF_set_prod_fun$',type,'ZF_ZF_prod_ZF_set_ZF_set_prod_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_prod_ZF_set_ZF_set_prod_fun$1',type,'fmb_ZF_ZF_prod_ZF_set_ZF_set_prod_fun$_1':'ZF_ZF_prod_ZF_set_ZF_set_prod_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_prod_ZF_set_ZF_set_prod_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_prod_ZF_set_ZF_set_prod_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_prod_ZF_set_ZF_set_prod_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_B_b_prod$',type,'B_b_prod$':$tType). 20.11/3.26 tff('declare_B_b_prod$1',type,'fmb_B_b_prod$_1':'B_b_prod$'). 20.11/3.26 tff('finite_domain_B_b_prod$',axiom, 20.11/3.26 ! [X:'B_b_prod$'] : ( 20.11/3.26 X = 'fmb_B_b_prod$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_set_set_ZF_set_fun$',type,'ZF_set_set_ZF_set_fun$':$tType). 20.11/3.26 tff('declare_ZF_set_set_ZF_set_fun$1',type,'fmb_ZF_set_set_ZF_set_fun$_1':'ZF_set_set_ZF_set_fun$'). 20.11/3.26 tff('finite_domain_ZF_set_set_ZF_set_fun$',axiom, 20.11/3.26 ! [X:'ZF_set_set_ZF_set_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_set_set_ZF_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_fun_ZF_ZF_fun_fun$',type,'ZF_ZF_fun_ZF_ZF_fun_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_fun_ZF_ZF_fun_fun$1',type,'fmb_ZF_ZF_fun_ZF_ZF_fun_fun$_1':'ZF_ZF_fun_ZF_ZF_fun_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_fun_ZF_ZF_fun_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_fun_ZF_ZF_fun_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_fun_ZF_ZF_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_A_set_a_bool_fun_fun$',type,'A_set_a_bool_fun_fun$':$tType). 20.11/3.26 tff('declare_A_set_a_bool_fun_fun$1',type,'fmb_A_set_a_bool_fun_fun$_1':'A_set_a_bool_fun_fun$'). 20.11/3.26 tff('finite_domain_A_set_a_bool_fun_fun$',axiom, 20.11/3.26 ! [X:'A_set_a_bool_fun_fun$'] : ( 20.11/3.26 X = 'fmb_A_set_a_bool_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_ZF_prod_ZF_ZF_prod_set_fun$',type,'Nat_ZF_prod_ZF_ZF_prod_set_fun$':$tType). 20.11/3.26 tff('declare_Nat_ZF_prod_ZF_ZF_prod_set_fun$1',type,'fmb_Nat_ZF_prod_ZF_ZF_prod_set_fun$_1':'Nat_ZF_prod_ZF_ZF_prod_set_fun$'). 20.11/3.26 tff('finite_domain_Nat_ZF_prod_ZF_ZF_prod_set_fun$',axiom, 20.11/3.26 ! [X:'Nat_ZF_prod_ZF_ZF_prod_set_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_ZF_prod_ZF_ZF_prod_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_A_bool_fun$',type,'A_bool_fun$':$tType). 20.11/3.26 tff('declare_A_bool_fun$1',type,'fmb_A_bool_fun$_1':'A_bool_fun$'). 20.11/3.26 tff('finite_domain_A_bool_fun$',axiom, 20.11/3.26 ! [X:'A_bool_fun$'] : ( 20.11/3.26 X = 'fmb_A_bool_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_nat_fun_ZF_set_fun$',type,'ZF_nat_fun_ZF_set_fun$':$tType). 20.11/3.26 tff('declare_ZF_nat_fun_ZF_set_fun$1',type,'fmb_ZF_nat_fun_ZF_set_fun$_1':'ZF_nat_fun_ZF_set_fun$'). 20.11/3.26 tff('finite_domain_ZF_nat_fun_ZF_set_fun$',axiom, 20.11/3.26 ! [X:'ZF_nat_fun_ZF_set_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_nat_fun_ZF_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_A_set$',type,'A_set$':$tType). 20.11/3.26 tff('declare_A_set$1',type,'fmb_A_set$_1':'A_set$'). 20.11/3.26 tff('finite_domain_A_set$',axiom, 20.11/3.26 ! [X:'A_set$'] : ( 20.11/3.26 X = 'fmb_A_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun$',type,'ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun$1',type,'fmb_ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun$_1':'ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_A_a_set_fun$',type,'A_a_set_fun$':$tType). 20.11/3.26 tff('declare_A_a_set_fun$1',type,'fmb_A_a_set_fun$_1':'A_a_set_fun$'). 20.11/3.26 tff('finite_domain_A_a_set_fun$',axiom, 20.11/3.26 ! [X:'A_a_set_fun$'] : ( 20.11/3.26 X = 'fmb_A_a_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$',type,'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$':$tType). 20.11/3.26 tff('declare_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$1',type,'fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$_1':'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'). 20.11/3.26 tff('finite_domain_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$',axiom, 20.11/3.26 ! [X:'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'] : ( 20.11/3.26 X = 'fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_set_ZF_set_set_fun$',type,'ZF_set_ZF_set_set_fun$':$tType). 20.11/3.26 tff('declare_ZF_set_ZF_set_set_fun$1',type,'fmb_ZF_set_ZF_set_set_fun$_1':'ZF_set_ZF_set_set_fun$'). 20.11/3.26 tff('finite_domain_ZF_set_ZF_set_set_fun$',axiom, 20.11/3.26 ! [X:'ZF_set_ZF_set_set_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_set_ZF_set_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_nat_set_fun$',type,'Nat_nat_set_fun$':$tType). 20.11/3.26 tff('declare_Nat_nat_set_fun$1',type,'fmb_Nat_nat_set_fun$_1':'Nat_nat_set_fun$'). 20.11/3.26 tff('finite_domain_Nat_nat_set_fun$',axiom, 20.11/3.26 ! [X:'Nat_nat_set_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_nat_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_A_b_fun$',type,'A_b_fun$':$tType). 20.11/3.26 tff('declare_A_b_fun$1',type,'fmb_A_b_fun$_1':'A_b_fun$'). 20.11/3.26 tff('finite_domain_A_b_fun$',axiom, 20.11/3.26 ! [X:'A_b_fun$'] : ( 20.11/3.26 X = 'fmb_A_b_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_nat_prod_ZF_set_ZF_set_prod_fun$',type,'ZF_nat_prod_ZF_set_ZF_set_prod_fun$':$tType). 20.11/3.26 tff('declare_ZF_nat_prod_ZF_set_ZF_set_prod_fun$1',type,'fmb_ZF_nat_prod_ZF_set_ZF_set_prod_fun$_1':'ZF_nat_prod_ZF_set_ZF_set_prod_fun$'). 20.11/3.26 tff('finite_domain_ZF_nat_prod_ZF_set_ZF_set_prod_fun$',axiom, 20.11/3.26 ! [X:'ZF_nat_prod_ZF_set_ZF_set_prod_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_nat_prod_ZF_set_ZF_set_prod_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_ZF_ZF_prod_set_fun_fun$',type,'ZF_ZF_ZF_ZF_prod_set_fun_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_ZF_ZF_prod_set_fun_fun$1',type,'fmb_ZF_ZF_ZF_ZF_prod_set_fun_fun$_1':'ZF_ZF_ZF_ZF_prod_set_fun_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_ZF_ZF_prod_set_fun_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_ZF_ZF_prod_set_fun_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_ZF_ZF_prod_set_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_B_set$',type,'B_set$':$tType). 20.11/3.26 tff('declare_B_set$1',type,'fmb_B_set$_1':'B_set$'). 20.11/3.26 tff('finite_domain_B_set$',axiom, 20.11/3.26 ! [X:'B_set$'] : ( 20.11/3.26 X = 'fmb_B_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_nat_ZF_ZF_prod_set_fun_fun$',type,'Nat_nat_ZF_ZF_prod_set_fun_fun$':$tType). 20.11/3.26 tff('declare_Nat_nat_ZF_ZF_prod_set_fun_fun$1',type,'fmb_Nat_nat_ZF_ZF_prod_set_fun_fun$_1':'Nat_nat_ZF_ZF_prod_set_fun_fun$'). 20.11/3.26 tff('finite_domain_Nat_nat_ZF_ZF_prod_set_fun_fun$',axiom, 20.11/3.26 ! [X:'Nat_nat_ZF_ZF_prod_set_fun_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_nat_ZF_ZF_prod_set_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_A_b_fun_bool_fun$',type,'A_b_fun_bool_fun$':$tType). 20.11/3.26 tff('declare_A_b_fun_bool_fun$1',type,'fmb_A_b_fun_bool_fun$_1':'A_b_fun_bool_fun$'). 20.11/3.26 tff('finite_domain_A_b_fun_bool_fun$',axiom, 20.11/3.26 ! [X:'A_b_fun_bool_fun$'] : ( 20.11/3.26 X = 'fmb_A_b_fun_bool_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_ZF_ZF_prod_set_fun$',type,'Nat_ZF_ZF_prod_set_fun$':$tType). 20.11/3.26 tff('declare_Nat_ZF_ZF_prod_set_fun$1',type,'fmb_Nat_ZF_ZF_prod_set_fun$_1':'Nat_ZF_ZF_prod_set_fun$'). 20.11/3.26 tff('finite_domain_Nat_ZF_ZF_prod_set_fun$',axiom, 20.11/3.26 ! [X:'Nat_ZF_ZF_prod_set_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_ZF_ZF_prod_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_A$',type,'A$':$tType). 20.11/3.26 tff('declare_A$1',type,'fmb_A$_1':'A$'). 20.11/3.26 tff('finite_domain_A$',axiom, 20.11/3.26 ! [X:'A$'] : ( 20.11/3.26 X = 'fmb_A$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_B_set_b_bool_fun_fun$',type,'B_set_b_bool_fun_fun$':$tType). 20.11/3.26 tff('declare_B_set_b_bool_fun_fun$1',type,'fmb_B_set_b_bool_fun_fun$_1':'B_set_b_bool_fun_fun$'). 20.11/3.26 tff('finite_domain_B_set_b_bool_fun_fun$',axiom, 20.11/3.26 ! [X:'B_set_b_bool_fun_fun$'] : ( 20.11/3.26 X = 'fmb_B_set_b_bool_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_unit_Category_ext$',type,'ZF_ZF_unit_Category_ext$':$tType). 20.11/3.26 tff('declare_ZF_ZF_unit_Category_ext$1',type,'fmb_ZF_ZF_unit_Category_ext$_1':'ZF_ZF_unit_Category_ext$'). 20.11/3.26 tff('finite_domain_ZF_ZF_unit_Category_ext$',axiom, 20.11/3.26 ! [X:'ZF_ZF_unit_Category_ext$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_unit_Category_ext$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_set_ZF_bool_fun_fun$',type,'ZF_set_ZF_bool_fun_fun$':$tType). 20.11/3.26 tff('declare_ZF_set_ZF_bool_fun_fun$1',type,'fmb_ZF_set_ZF_bool_fun_fun$_1':'ZF_set_ZF_bool_fun_fun$'). 20.11/3.26 tff('finite_domain_ZF_set_ZF_bool_fun_fun$',axiom, 20.11/3.26 ! [X:'ZF_set_ZF_bool_fun_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_set_ZF_bool_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_fun_bool_fun$',type,'ZF_ZF_fun_bool_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_fun_bool_fun$1',type,'fmb_ZF_ZF_fun_bool_fun$_1':'ZF_ZF_fun_bool_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_fun_bool_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_fun_bool_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_fun_bool_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun$',type,'ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun$1',type,'fmb_ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun$_1':'ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_nat_ZF_set_fun_fun$',type,'Nat_nat_ZF_set_fun_fun$':$tType). 20.11/3.26 tff('declare_Nat_nat_ZF_set_fun_fun$1',type,'fmb_Nat_nat_ZF_set_fun_fun$_1':'Nat_nat_ZF_set_fun_fun$'). 20.11/3.26 tff('finite_domain_Nat_nat_ZF_set_fun_fun$',axiom, 20.11/3.26 ! [X:'Nat_nat_ZF_set_fun_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_nat_ZF_set_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_prod_set_ZF_set_fun$',type,'ZF_ZF_prod_set_ZF_set_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_prod_set_ZF_set_fun$1',type,'fmb_ZF_ZF_prod_set_ZF_set_fun$_1':'ZF_ZF_prod_set_ZF_set_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_prod_set_ZF_set_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_prod_set_ZF_set_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_prod_set_ZF_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_B_set_bool_fun$',type,'B_set_bool_fun$':$tType). 20.11/3.26 tff('declare_B_set_bool_fun$1',type,'fmb_B_set_bool_fun$_1':'B_set_bool_fun$'). 20.11/3.26 tff('finite_domain_B_set_bool_fun$',axiom, 20.11/3.26 ! [X:'B_set_bool_fun$'] : ( 20.11/3.26 X = 'fmb_B_set_bool_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_A_b_set_fun$',type,'A_b_set_fun$':$tType). 20.11/3.26 tff('declare_A_b_set_fun$1',type,'fmb_A_b_set_fun$_1':'A_b_set_fun$'). 20.11/3.26 tff('finite_domain_A_b_set_fun$',axiom, 20.11/3.26 ! [X:'A_b_set_fun$'] : ( 20.11/3.26 X = 'fmb_A_b_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_b_fun$',type,'Nat_b_fun$':$tType). 20.11/3.26 tff('declare_Nat_b_fun$1',type,'fmb_Nat_b_fun$_1':'Nat_b_fun$'). 20.11/3.26 tff('finite_domain_Nat_b_fun$',axiom, 20.11/3.26 ! [X:'Nat_b_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_b_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_set_ZF_prod_set$',type,'ZF_set_ZF_prod_set$':$tType). 20.11/3.26 tff('declare_ZF_set_ZF_prod_set$1',type,'fmb_ZF_set_ZF_prod_set$_1':'ZF_set_ZF_prod_set$'). 20.11/3.26 tff('finite_domain_ZF_set_ZF_prod_set$',axiom, 20.11/3.26 ! [X:'ZF_set_ZF_prod_set$'] : ( 20.11/3.26 X = 'fmb_ZF_set_ZF_prod_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_B_set_set$',type,'B_set_set$':$tType). 20.11/3.26 tff('declare_B_set_set$1',type,'fmb_B_set_set$_1':'B_set_set$'). 20.11/3.26 tff('finite_domain_B_set_set$',axiom, 20.11/3.26 ! [X:'B_set_set$'] : ( 20.11/3.26 X = 'fmb_B_set_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_set_ZF_set_prod$',type,'ZF_set_ZF_set_prod$':$tType). 20.11/3.26 tff('declare_ZF_set_ZF_set_prod$1',type,'fmb_ZF_set_ZF_set_prod$_1':'ZF_set_ZF_set_prod$'). 20.11/3.26 tff('finite_domain_ZF_set_ZF_set_prod$',axiom, 20.11/3.26 ! [X:'ZF_set_ZF_set_prod$'] : ( 20.11/3.26 X = 'fmb_ZF_set_ZF_set_prod$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_ZF_ZF_set_prod_fun$',type,'Nat_ZF_ZF_set_prod_fun$':$tType). 20.11/3.26 tff('declare_Nat_ZF_ZF_set_prod_fun$1',type,'fmb_Nat_ZF_ZF_set_prod_fun$_1':'Nat_ZF_ZF_set_prod_fun$'). 20.11/3.26 tff('finite_domain_Nat_ZF_ZF_set_prod_fun$',axiom, 20.11/3.26 ! [X:'Nat_ZF_ZF_set_prod_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_ZF_ZF_set_prod_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_B_b_prod_b_fun$',type,'B_b_prod_b_fun$':$tType). 20.11/3.26 tff('declare_B_b_prod_b_fun$1',type,'fmb_B_b_prod_b_fun$_1':'B_b_prod_b_fun$'). 20.11/3.26 tff('finite_domain_B_b_prod_b_fun$',axiom, 20.11/3.26 ! [X:'B_b_prod_b_fun$'] : ( 20.11/3.26 X = 'fmb_B_b_prod_b_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_set_ZF_fun$',type,'ZF_set_ZF_fun$':$tType). 20.11/3.26 tff('declare_ZF_set_ZF_fun$1',type,'fmb_ZF_set_ZF_fun$_1':'ZF_set_ZF_fun$'). 20.11/3.26 tff('finite_domain_ZF_set_ZF_fun$',axiom, 20.11/3.26 ! [X:'ZF_set_ZF_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_set_ZF_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_B_set_b_set_fun$',type,'B_set_b_set_fun$':$tType). 20.11/3.26 tff('declare_B_set_b_set_fun$1',type,'fmb_B_set_b_set_fun$_1':'B_set_b_set_fun$'). 20.11/3.26 tff('finite_domain_B_set_b_set_fun$',axiom, 20.11/3.26 ! [X:'B_set_b_set_fun$'] : ( 20.11/3.26 X = 'fmb_B_set_b_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_prod_set_set_ZF_set_fun$',type,'ZF_ZF_prod_set_set_ZF_set_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_prod_set_set_ZF_set_fun$1',type,'fmb_ZF_ZF_prod_set_set_ZF_set_fun$_1':'ZF_ZF_prod_set_set_ZF_set_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_prod_set_set_ZF_set_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_prod_set_set_ZF_set_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_prod_set_set_ZF_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_B_a_fun_b_a_fun_fun$',type,'B_a_fun_b_a_fun_fun$':$tType). 20.11/3.26 tff('declare_B_a_fun_b_a_fun_fun$1',type,'fmb_B_a_fun_b_a_fun_fun$_1':'B_a_fun_b_a_fun_fun$'). 20.11/3.26 tff('finite_domain_B_a_fun_b_a_fun_fun$',axiom, 20.11/3.26 ! [X:'B_a_fun_b_a_fun_fun$'] : ( 20.11/3.26 X = 'fmb_B_a_fun_b_a_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_A_a_fun$',type,'A_a_fun$':$tType). 20.11/3.26 tff('declare_A_a_fun$1',type,'fmb_A_a_fun$_1':'A_a_fun$'). 20.11/3.26 tff('finite_domain_A_a_fun$',axiom, 20.11/3.26 ! [X:'A_a_fun$'] : ( 20.11/3.26 X = 'fmb_A_a_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_bool_fun$',type,'ZF_bool_fun$':$tType). 20.11/3.26 tff('declare_ZF_bool_fun$1',type,'fmb_ZF_bool_fun$_1':'ZF_bool_fun$'). 20.11/3.26 tff('finite_domain_ZF_bool_fun$',axiom, 20.11/3.26 ! [X:'ZF_bool_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_bool_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_ZF_prod_ZF_set_ZF_set_prod_fun$',type,'Nat_ZF_prod_ZF_set_ZF_set_prod_fun$':$tType). 20.11/3.26 tff('declare_Nat_ZF_prod_ZF_set_ZF_set_prod_fun$1',type,'fmb_Nat_ZF_prod_ZF_set_ZF_set_prod_fun$_1':'Nat_ZF_prod_ZF_set_ZF_set_prod_fun$'). 20.11/3.26 tff('finite_domain_Nat_ZF_prod_ZF_set_ZF_set_prod_fun$',axiom, 20.11/3.26 ! [X:'Nat_ZF_prod_ZF_set_ZF_set_prod_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_ZF_prod_ZF_set_ZF_set_prod_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_B_b_b_fun_fun$',type,'B_b_b_fun_fun$':$tType). 20.11/3.26 tff('declare_B_b_b_fun_fun$1',type,'fmb_B_b_b_fun_fun$_1':'B_b_b_fun_fun$'). 20.11/3.26 tff('finite_domain_B_b_b_fun_fun$',axiom, 20.11/3.26 ! [X:'B_b_b_fun_fun$'] : ( 20.11/3.26 X = 'fmb_B_b_b_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_set_set_ZF_set_set_fun$',type,'ZF_set_set_ZF_set_set_fun$':$tType). 20.11/3.26 tff('declare_ZF_set_set_ZF_set_set_fun$1',type,'fmb_ZF_set_set_ZF_set_set_fun$_1':'ZF_set_set_ZF_set_set_fun$'). 20.11/3.26 tff('finite_domain_ZF_set_set_ZF_set_set_fun$',axiom, 20.11/3.26 ! [X:'ZF_set_set_ZF_set_set_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_set_set_ZF_set_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun$',type,'ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun$1',type,'fmb_ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun$_1':'ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_set_set_ZF_set_set_set_fun$',type,'Nat_set_set_ZF_set_set_set_fun$':$tType). 20.11/3.26 tff('declare_Nat_set_set_ZF_set_set_set_fun$1',type,'fmb_Nat_set_set_ZF_set_set_set_fun$_1':'Nat_set_set_ZF_set_set_set_fun$'). 20.11/3.26 tff('finite_domain_Nat_set_set_ZF_set_set_set_fun$',axiom, 20.11/3.26 ! [X:'Nat_set_set_ZF_set_set_set_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_set_set_ZF_set_set_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$',type,'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$1',type,'fmb_ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$_1':'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_nat_fun$',type,'ZF_nat_fun$':$tType). 20.11/3.26 tff('declare_ZF_nat_fun$1',type,'fmb_ZF_nat_fun$_1':'ZF_nat_fun$'). 20.11/3.26 tff('finite_domain_ZF_nat_fun$',axiom, 20.11/3.26 ! [X:'ZF_nat_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_nat_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_A_ZF_fun$',type,'A_ZF_fun$':$tType). 20.11/3.26 tff('declare_A_ZF_fun$1',type,'fmb_A_ZF_fun$_1':'A_ZF_fun$'). 20.11/3.26 tff('finite_domain_A_ZF_fun$',axiom, 20.11/3.26 ! [X:'A_ZF_fun$'] : ( 20.11/3.26 X = 'fmb_A_ZF_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_A_set_a_set_fun$',type,'A_set_a_set_fun$':$tType). 20.11/3.26 tff('declare_A_set_a_set_fun$1',type,'fmb_A_set_a_set_fun$_1':'A_set_a_set_fun$'). 20.11/3.26 tff('finite_domain_A_set_a_set_fun$',axiom, 20.11/3.26 ! [X:'A_set_a_set_fun$'] : ( 20.11/3.26 X = 'fmb_A_set_a_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_set_bool_fun$',type,'ZF_set_bool_fun$':$tType). 20.11/3.26 tff('declare_ZF_set_bool_fun$1',type,'fmb_ZF_set_bool_fun$_1':'ZF_set_bool_fun$'). 20.11/3.26 tff('finite_domain_ZF_set_bool_fun$',axiom, 20.11/3.26 ! [X:'ZF_set_bool_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_set_bool_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_prod_ZF_prod_set$',type,'ZF_ZF_prod_ZF_prod_set$':$tType). 20.11/3.26 tff('declare_ZF_ZF_prod_ZF_prod_set$1',type,'fmb_ZF_ZF_prod_ZF_prod_set$_1':'ZF_ZF_prod_ZF_prod_set$'). 20.11/3.26 tff('finite_domain_ZF_ZF_prod_ZF_prod_set$',axiom, 20.11/3.26 ! [X:'ZF_ZF_prod_ZF_prod_set$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_prod_ZF_prod_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun$',type,'ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun$1',type,'fmb_ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun$_1':'ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Unit$',type,'Unit$':$tType). 20.11/3.26 tff('declare_Unit$1',type,'fmb_Unit$_1':'Unit$'). 20.11/3.26 tff('finite_domain_Unit$',axiom, 20.11/3.26 ! [X:'Unit$'] : ( 20.11/3.26 X = 'fmb_Unit$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_bool_fun$',type,'Nat_bool_fun$':$tType). 20.11/3.26 tff('declare_Nat_bool_fun$1',type,'fmb_Nat_bool_fun$_1':'Nat_bool_fun$'). 20.11/3.26 tff('finite_domain_Nat_bool_fun$',axiom, 20.11/3.26 ! [X:'Nat_bool_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_bool_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Bool_set$',type,'Bool_set$':$tType). 20.11/3.26 tff('declare_Bool_set$1',type,'fmb_Bool_set$_1':'Bool_set$'). 20.11/3.26 tff('finite_domain_Bool_set$',axiom, 20.11/3.26 ! [X:'Bool_set$'] : ( 20.11/3.26 X = 'fmb_Bool_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF$',type,'ZF$':$tType). 20.11/3.26 tff('declare_ZF$1',type,'fmb_ZF$_1':'ZF$'). 20.11/3.26 tff('finite_domain_ZF$',axiom, 20.11/3.26 ! [X:'ZF$'] : ( 20.11/3.26 X = 'fmb_ZF$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_B_ZF_fun$',type,'B_ZF_fun$':$tType). 20.11/3.26 tff('declare_B_ZF_fun$1',type,'fmb_B_ZF_fun$_1':'B_ZF_fun$'). 20.11/3.26 tff('finite_domain_B_ZF_fun$',axiom, 20.11/3.26 ! [X:'B_ZF_fun$'] : ( 20.11/3.26 X = 'fmb_B_ZF_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_set_set_set$',type,'ZF_set_set_set$':$tType). 20.11/3.26 tff('declare_ZF_set_set_set$1',type,'fmb_ZF_set_set_set$_1':'ZF_set_set_set$'). 20.11/3.26 tff('finite_domain_ZF_set_set_set$',axiom, 20.11/3.26 ! [X:'ZF_set_set_set$'] : ( 20.11/3.26 X = 'fmb_ZF_set_set_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_set_ZF_ZF_prod_set_fun$',type,'ZF_set_ZF_ZF_prod_set_fun$':$tType). 20.11/3.26 tff('declare_ZF_set_ZF_ZF_prod_set_fun$1',type,'fmb_ZF_set_ZF_ZF_prod_set_fun$_1':'ZF_set_ZF_ZF_prod_set_fun$'). 20.11/3.26 tff('finite_domain_ZF_set_ZF_ZF_prod_set_fun$',axiom, 20.11/3.26 ! [X:'ZF_set_ZF_ZF_prod_set_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_set_ZF_ZF_prod_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_B_a_fun_set$',type,'B_a_fun_set$':$tType). 20.11/3.26 tff('declare_B_a_fun_set$1',type,'fmb_B_a_fun_set$_1':'B_a_fun_set$'). 20.11/3.26 tff('finite_domain_B_a_fun_set$',axiom, 20.11/3.26 ! [X:'B_a_fun_set$'] : ( 20.11/3.26 X = 'fmb_B_a_fun_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_ZF_fun_ZF_set_fun$',type,'Nat_ZF_fun_ZF_set_fun$':$tType). 20.11/3.26 tff('declare_Nat_ZF_fun_ZF_set_fun$1',type,'fmb_Nat_ZF_fun_ZF_set_fun$_1':'Nat_ZF_fun_ZF_set_fun$'). 20.11/3.26 tff('finite_domain_Nat_ZF_fun_ZF_set_fun$',axiom, 20.11/3.26 ! [X:'Nat_ZF_fun_ZF_set_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_ZF_fun_ZF_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_set$',type,'Nat_set$':$tType). 20.11/3.26 tff('declare_Nat_set$1',type,'fmb_Nat_set$_1':'Nat_set$'). 20.11/3.26 tff('finite_domain_Nat_set$',axiom, 20.11/3.26 ! [X:'Nat_set$'] : ( 20.11/3.26 X = 'fmb_Nat_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$',type,'Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$':$tType). 20.11/3.26 tff('declare_Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$1',type,'fmb_Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$_1':'Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$'). 20.11/3.26 tff('finite_domain_Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$',axiom, 20.11/3.26 ! [X:'Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_bool_fun_set$',type,'ZF_bool_fun_set$':$tType). 20.11/3.26 tff('declare_ZF_bool_fun_set$1',type,'fmb_ZF_bool_fun_set$_1':'ZF_bool_fun_set$'). 20.11/3.26 tff('finite_domain_ZF_bool_fun_set$',axiom, 20.11/3.26 ! [X:'ZF_bool_fun_set$'] : ( 20.11/3.26 X = 'fmb_ZF_bool_fun_set$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_ZF_fun$',type,'Nat_ZF_fun$':$tType). 20.11/3.26 tff('declare_Nat_ZF_fun$1',type,'fmb_Nat_ZF_fun$_1':'Nat_ZF_fun$'). 20.11/3.26 tff('finite_domain_Nat_ZF_fun$',axiom, 20.11/3.26 ! [X:'Nat_ZF_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_ZF_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_prod_ZF_ZF_prod_set_fun$',type,'ZF_ZF_prod_ZF_ZF_prod_set_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_prod_ZF_ZF_prod_set_fun$1',type,'fmb_ZF_ZF_prod_ZF_ZF_prod_set_fun$_1':'ZF_ZF_prod_ZF_ZF_prod_set_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_prod_ZF_ZF_prod_set_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_prod_ZF_ZF_prod_set_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_prod_ZF_ZF_prod_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_B_a_fun_bool_fun$',type,'B_a_fun_bool_fun$':$tType). 20.11/3.26 tff('declare_B_a_fun_bool_fun$1',type,'fmb_B_a_fun_bool_fun$_1':'B_a_fun_bool_fun$'). 20.11/3.26 tff('finite_domain_B_a_fun_bool_fun$',axiom, 20.11/3.26 ! [X:'B_a_fun_bool_fun$'] : ( 20.11/3.26 X = 'fmb_B_a_fun_bool_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_B_bool_fun$',type,'B_bool_fun$':$tType). 20.11/3.26 tff('declare_B_bool_fun$1',type,'fmb_B_bool_fun$_1':'B_bool_fun$'). 20.11/3.26 tff('finite_domain_B_bool_fun$',axiom, 20.11/3.26 ! [X:'B_bool_fun$'] : ( 20.11/3.26 X = 'fmb_B_bool_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_ZF_ZF_ZF_prod_set_fun_fun$',type,'Nat_ZF_ZF_ZF_prod_set_fun_fun$':$tType). 20.11/3.26 tff('declare_Nat_ZF_ZF_ZF_prod_set_fun_fun$1',type,'fmb_Nat_ZF_ZF_ZF_prod_set_fun_fun$_1':'Nat_ZF_ZF_ZF_prod_set_fun_fun$'). 20.11/3.26 tff('finite_domain_Nat_ZF_ZF_ZF_prod_set_fun_fun$',axiom, 20.11/3.26 ! [X:'Nat_ZF_ZF_ZF_prod_set_fun_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_ZF_ZF_ZF_prod_set_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_Nat_ZF_ZF_set_fun_fun$',type,'Nat_ZF_ZF_set_fun_fun$':$tType). 20.11/3.26 tff('declare_Nat_ZF_ZF_set_fun_fun$1',type,'fmb_Nat_ZF_ZF_set_fun_fun$_1':'Nat_ZF_ZF_set_fun_fun$'). 20.11/3.26 tff('finite_domain_Nat_ZF_ZF_set_fun_fun$',axiom, 20.11/3.26 ! [X:'Nat_ZF_ZF_set_fun_fun$'] : ( 20.11/3.26 X = 'fmb_Nat_ZF_ZF_set_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_B_b_set_fun$',type,'B_b_set_fun$':$tType). 20.11/3.26 tff('declare_B_b_set_fun$1',type,'fmb_B_b_set_fun$_1':'B_b_set_fun$'). 20.11/3.26 tff('finite_domain_B_b_set_fun$',axiom, 20.11/3.26 ! [X:'B_b_set_fun$'] : ( 20.11/3.26 X = 'fmb_B_b_set_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_A_set_bool_fun$',type,'A_set_bool_fun$':$tType). 20.11/3.26 tff('declare_A_set_bool_fun$1',type,'fmb_A_set_bool_fun$_1':'A_set_bool_fun$'). 20.11/3.26 tff('finite_domain_A_set_bool_fun$',axiom, 20.11/3.26 ! [X:'A_set_bool_fun$'] : ( 20.11/3.26 X = 'fmb_A_set_bool_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_prod_ZF_set_ZF_prod_fun$',type,'ZF_ZF_prod_ZF_set_ZF_prod_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_prod_ZF_set_ZF_prod_fun$1',type,'fmb_ZF_ZF_prod_ZF_set_ZF_prod_fun$_1':'ZF_ZF_prod_ZF_set_ZF_prod_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_prod_ZF_set_ZF_prod_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_prod_ZF_set_ZF_prod_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_prod_ZF_set_ZF_prod_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_B_ZF_fun_bool_fun$',type,'B_ZF_fun_bool_fun$':$tType). 20.11/3.26 tff('declare_B_ZF_fun_bool_fun$1',type,'fmb_B_ZF_fun_bool_fun$_1':'B_ZF_fun_bool_fun$'). 20.11/3.26 tff('finite_domain_B_ZF_fun_bool_fun$',axiom, 20.11/3.26 ! [X:'B_ZF_fun_bool_fun$'] : ( 20.11/3.26 X = 'fmb_B_ZF_fun_bool_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_ZF_ZF_bool_fun_fun$',type,'ZF_ZF_bool_fun_fun$':$tType). 20.11/3.26 tff('declare_ZF_ZF_bool_fun_fun$1',type,'fmb_ZF_ZF_bool_fun_fun$_1':'ZF_ZF_bool_fun_fun$'). 20.11/3.26 tff('finite_domain_ZF_ZF_bool_fun_fun$',axiom, 20.11/3.26 ! [X:'ZF_ZF_bool_fun_fun$'] : ( 20.11/3.26 X = 'fmb_ZF_ZF_bool_fun_fun$_1' 20.11/3.26 ) ). 20.11/3.26 20.11/3.26 tff('declare_sup$',type,'sup$':'ZF_set_set_ZF_set_fun$'). 20.11/3.26 tff('sup$_definition',axiom,'sup$' = 'fmb_ZF_set_set_ZF_set_fun$_1'). 20.11/3.26 tff('declare_sup$d',type,'sup$d':'ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun$'). 20.11/3.26 tff('sup$d_definition',axiom,'sup$d' = 'fmb_ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun$_1'). 20.11/3.26 tff('declare_uxj$',type,'uxj$':'ZF_ZF_ZF_ZF_prod_fun_fun$'). 20.11/3.26 tff('uxj$_definition',axiom,'uxj$' = 'fmb_ZF_ZF_ZF_ZF_prod_fun_fun$_1'). 20.11/3.26 tff('declare_c$',type,'c$':'A_b_b_c_LSCategory_ext_Category_ext$'). 20.11/3.26 tff('c$_definition',axiom,'c$' = 'fmb_A_b_b_c_LSCategory_ext_Category_ext$_1'). 20.11/3.26 tff('declare_uua$',type,'uua$':'B_set_b_bool_fun_fun$'). 20.11/3.26 tff('uua$_definition',axiom,'uua$' = 'fmb_B_set_b_bool_fun_fun$_1'). 20.11/3.26 tff('declare_vah$',type,'vah$':'ZF_ZF_ZF_fun_fun$'). 20.11/3.26 tff('vah$_definition',axiom,'vah$' = 'fmb_ZF_ZF_ZF_fun_fun$_1'). 20.11/3.26 tff('declare_top$i',type,'top$i':'Nat_nat_fun_set$'). 20.11/3.26 tff('top$i_definition',axiom,'top$i' = 'fmb_Nat_nat_fun_set$_1'). 20.11/3.26 tff('declare_uuw$',type,'uuw$':'ZF_ZF_ZF_fun_fun$'). 20.11/3.26 tff('uuw$_definition',axiom,'uuw$' = 'fmb_ZF_ZF_ZF_fun_fun$_1'). 20.11/3.26 tff('declare_top$b',type,'top$b':'ZF_ZF_prod_set$'). 20.11/3.26 tff('top$b_definition',axiom,'top$b' = 'fmb_ZF_ZF_prod_set$_1'). 20.11/3.26 tff('declare_f$',type,'f$':'B$'). 20.11/3.26 tff('f$_definition',axiom,'f$' = 'fmb_B$_1'). 20.11/3.26 tff('declare_top$e',type,'top$e':'Nat_nat_prod_set$'). 20.11/3.26 tff('top$e_definition',axiom,'top$e' = 'fmb_Nat_nat_prod_set$_1'). 20.11/3.26 tff('declare_top$d',type,'top$d':'Nat_ZF_prod_set$'). 20.11/3.26 tff('top$d_definition',axiom,'top$d' = 'fmb_Nat_ZF_prod_set$_1'). 20.11/3.26 tff('declare_uur$',type,'uur$':'ZF_ZF_fun$'). 20.11/3.26 tff('uur$_definition',axiom,'uur$' = 'fmb_ZF_ZF_fun$_1'). 20.11/3.26 tff('declare_uut$',type,'uut$':'ZF_bool_fun$'). 20.11/3.26 tff('uut$_definition',axiom,'uut$' = 'fmb_ZF_bool_fun$_1'). 20.11/3.26 tff('declare_sum$',type,'sum$':'ZF_ZF_fun$'). 20.11/3.26 tff('sum$_definition',axiom,'sum$' = 'fmb_ZF_ZF_fun$_1'). 20.11/3.26 tff('declare_uub$',type,'uub$':'ZF_set_set_ZF_set_bool_fun_fun$'). 20.11/3.26 tff('uub$_definition',axiom,'uub$' = 'fmb_ZF_set_set_ZF_set_bool_fun_fun$_1'). 20.11/3.26 tff('declare_app$',type,'app$':'ZF_ZF_ZF_fun_fun$'). 20.11/3.26 tff('app$_definition',axiom,'app$' = 'fmb_ZF_ZF_ZF_fun_fun$_1'). 20.11/3.26 tff('declare_set$',type,'set$':'ZF_ZF_unit_Category_ext$'). 20.11/3.26 tff('set$_definition',axiom,'set$' = 'fmb_ZF_ZF_unit_Category_ext$_1'). 20.11/3.26 tff('declare_unity$',type,'unity$':'Unit$'). 20.11/3.26 tff('unity$_definition',axiom,'unity$' = 'fmb_Unit$_1'). 20.11/3.26 tff('declare_sup$f',type,'sup$f':'Nat_set_set_nat_set_fun$'). 20.11/3.26 tff('sup$f_definition',axiom,'sup$f' = 'fmb_Nat_set_set_nat_set_fun$_1'). 20.11/3.26 tff('declare_top$g',type,'top$g':'Nat_ZF_fun_set$'). 20.11/3.26 tff('top$g_definition',axiom,'top$g' = 'fmb_Nat_ZF_fun_set$_1'). 20.11/3.26 tff('declare_zFfunCod$',type,'zFfunCod$':'ZF_ZF_fun$'). 20.11/3.26 tff('zFfunCod$_definition',axiom,'zFfunCod$' = 'fmb_ZF_ZF_fun$_1'). 20.11/3.26 tff('declare_uug$',type,'uug$':'ZF_ZF_bool_fun_fun$'). 20.11/3.26 tff('uug$_definition',axiom,'uug$' = 'fmb_ZF_ZF_bool_fun_fun$_1'). 20.11/3.26 tff('declare_set$a',type,'set$a':'ZF_ZF_unit_Category_ext$'). 20.11/3.26 tff('set$a_definition',axiom,'set$a' = 'fmb_ZF_ZF_unit_Category_ext$_1'). 20.11/3.26 tff(declare_tltrue,type,tltrue:tlbool). 20.11/3.26 tff(tltrue_definition,axiom,tltrue = fmb_tlbool_1). 20.11/3.26 tff('declare_uxd$',type,'uxd$':'ZF_nat_set_fun$'). 20.11/3.26 tff('uxd$_definition',axiom,'uxd$' = 'fmb_ZF_nat_set_fun$_1'). 20.11/3.26 tff('declare_zFfunComp$',type,'zFfunComp$':'ZF_ZF_ZF_fun_fun$'). 20.11/3.26 tff('zFfunComp$_definition',axiom,'zFfunComp$' = 'fmb_ZF_ZF_ZF_fun_fun$_1'). 20.11/3.26 tff('declare_top$a',type,'top$a':'ZF_set$'). 20.11/3.26 tff('top$a_definition',axiom,'top$a' = 'fmb_ZF_set$_1'). 20.11/3.26 tff('declare_uyn$',type,'uyn$':'ZF_set_ZF_set_fun$'). 20.11/3.26 tff('uyn$_definition',axiom,'uyn$' = 'fmb_ZF_set_ZF_set_fun$_1'). 20.11/3.26 tff('declare_swap$',type,'swap$':'ZF_ZF_prod_ZF_ZF_prod_fun$'). 20.11/3.26 tff('swap$_definition',axiom,'swap$' = 'fmb_ZF_ZF_prod_ZF_ZF_prod_fun$_1'). 20.11/3.26 tff('declare_uxe$',type,'uxe$':'Nat_ZF_set_fun$'). 20.11/3.26 tff('uxe$_definition',axiom,'uxe$' = 'fmb_Nat_ZF_set_fun$_1'). 20.11/3.26 tff('declare_uxf$',type,'uxf$':'Nat_nat_set_fun$'). 20.11/3.26 tff('uxf$_definition',axiom,'uxf$' = 'fmb_Nat_nat_set_fun$_1'). 20.11/3.26 tff('declare_opair$',type,'opair$':'ZF_ZF_ZF_fun_fun$'). 20.11/3.26 tff('opair$_definition',axiom,'opair$' = 'fmb_ZF_ZF_ZF_fun_fun$_1'). 20.11/3.26 tff('declare_g$',type,'g$':'B$'). 20.11/3.26 tff('g$_definition',axiom,'g$' = 'fmb_B$_1'). 20.11/3.26 tff('declare_top$f',type,'top$f':'ZF_ZF_fun_set$'). 20.11/3.26 tff('top$f_definition',axiom,'top$f' = 'fmb_ZF_ZF_fun_set$_1'). 20.11/3.26 tff('declare_elem$',type,'elem$':'ZF_ZF_bool_fun_fun$'). 20.11/3.26 tff('elem$_definition',axiom,'elem$' = 'fmb_ZF_ZF_bool_fun_fun$_1'). 20.11/3.26 tff('declare_zFfunDom$',type,'zFfunDom$':'ZF_ZF_fun$'). 20.11/3.26 tff('zFfunDom$_definition',axiom,'zFfunDom$' = 'fmb_ZF_ZF_fun$_1'). 20.11/3.26 tff('declare_uyk$',type,'uyk$':'ZF_ZF_ZF_set_fun_fun$'). 20.11/3.26 tff('uyk$_definition',axiom,'uyk$' = 'fmb_ZF_ZF_ZF_set_fun_fun$_1'). 20.11/3.26 tff('declare_zFfunApp$',type,'zFfunApp$':'ZF_ZF_ZF_fun_fun$'). 20.11/3.26 tff('zFfunApp$_definition',axiom,'zFfunApp$' = 'fmb_ZF_ZF_ZF_fun_fun$_1'). 20.11/3.26 tff('declare_uws$',type,'uws$':'Nat_bool_fun$'). 20.11/3.26 tff('uws$_definition',axiom,'uws$' = 'fmb_Nat_bool_fun$_1'). 20.11/3.26 tff('declare_uu$',type,'uu$':'A_set_a_bool_fun_fun$'). 20.11/3.26 tff('uu$_definition',axiom,'uu$' = 'fmb_A_set_a_bool_fun_fun$_1'). 20.11/3.26 tff('declare_uwy$',type,'uwy$':'ZF_ZF_bool_fun_fun$'). 20.11/3.26 tff('uwy$_definition',axiom,'uwy$' = 'fmb_ZF_ZF_bool_fun_fun$_1'). 20.11/3.26 tff('declare_uuv$',type,'uuv$':'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$'). 20.11/3.26 tff('uuv$_definition',axiom,'uuv$' = 'fmb_ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$_1'). 20.11/3.26 tff(declare_tlfalse,type,tlfalse:tlbool). 20.11/3.26 tff(tlfalse_definition,axiom,tlfalse = fmb_tlbool_2). 20.11/3.26 tff('declare_uuc$',type,'uuc$':'ZF_set_ZF_bool_fun_fun$'). 20.11/3.26 tff('uuc$_definition',axiom,'uuc$' = 'fmb_ZF_set_ZF_bool_fun_fun$_1'). 20.11/3.26 tff('declare_uuu$',type,'uuu$':'ZF_ZF_fun$'). 20.11/3.26 tff('uuu$_definition',axiom,'uuu$' = 'fmb_ZF_ZF_fun$_1'). 20.11/3.26 tff('declare_top$c',type,'top$c':'ZF_nat_prod_set$'). 20.11/3.26 tff('top$c_definition',axiom,'top$c' = 'fmb_ZF_nat_prod_set$_1'). 20.11/3.26 tff('declare_top$h',type,'top$h':'ZF_nat_fun_set$'). 20.11/3.26 tff('top$h_definition',axiom,'top$h' = 'fmb_ZF_nat_fun_set$_1'). 20.11/3.26 tff('declare_top$',type,'top$':'Nat_set$'). 20.11/3.26 tff('top$_definition',axiom,'top$' = 'fmb_Nat_set$_1'). 20.11/3.26 tff('declare_uxc$',type,'uxc$':'ZF_ZF_set_fun$'). 20.11/3.26 tff('uxc$_definition',axiom,'uxc$' = 'fmb_ZF_ZF_set_fun$_1'). 20.11/3.26 tff('declare_explode$',type,'explode$':'ZF_ZF_set_fun$'). 20.11/3.26 tff('explode$_definition',axiom,'explode$' = 'fmb_ZF_ZF_set_fun$_1'). 20.11/3.26 tff('declare_isZFfun$',type,'isZFfun$':'ZF_bool_fun$'). 20.11/3.26 tff('isZFfun$_definition',axiom,'isZFfun$' = 'fmb_ZF_bool_fun$_1'). 20.11/3.26 tff('declare_cartProd$',type,'cartProd$':'ZF_ZF_ZF_fun_fun$'). 20.11/3.26 tff('cartProd$_definition',axiom,'cartProd$' = 'fmb_ZF_ZF_ZF_fun_fun$_1'). 20.11/3.26 tff('declare_sup$e',type,'sup$e':'ZF_set_set_set_ZF_set_set_fun$'). 20.11/3.26 tff('sup$e_definition',axiom,'sup$e' = 'fmb_ZF_set_set_set_ZF_set_set_fun$_1'). 20.11/3.26 tff('declare_uym$',type,'uym$':'ZF_ZF_fun_ZF_ZF_fun_fun$'). 20.11/3.26 tff('uym$_definition',axiom,'uym$' = 'fmb_ZF_ZF_fun_ZF_ZF_fun_fun$_1'). 20.11/3.26 tff('declare_uuf$',type,'uuf$':'ZF_ZF_bool_fun_fun$'). 20.11/3.26 tff('uuf$_definition',axiom,'uuf$' = 'fmb_ZF_ZF_bool_fun_fun$_1'). 20.11/3.26 tff('declare_image$ai',type,'image$ai': ('ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun$' * 'ZF_ZF_prod_ZF_ZF_prod_prod_set$') > 'ZF_ZF_prod_set$'). 20.11/3.26 tff('function_image$ai',axiom, 20.11/3.26 'image$ai'('fmb_ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun$_1','fmb_ZF_ZF_prod_ZF_ZF_prod_prod_set$_1') = 'fmb_ZF_ZF_prod_set$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_mor_update$a',type,'mor_update$a': ('B_set_b_set_fun$' * 'A_b_b_c_LSCategory_ext_Category_ext$') > 'A_b_b_c_LSCategory_ext_Category_ext$'). 20.11/3.26 tff('function_mor_update$a',axiom, 20.11/3.26 'mor_update$a'('fmb_B_set_b_set_fun$_1','fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_A_b_b_c_LSCategory_ext_Category_ext$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_id$',type,'id$': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'A_b_fun$'). 20.11/3.26 tff('function_id$',axiom, 20.11/3.26 'id$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_A_b_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_fun_app$ah',type,'fun_app$ah': ('ZF_nat_bool_fun_fun$' * 'ZF$') > 'Nat_bool_fun$'). 20.11/3.26 tff('function_fun_app$ah',axiom, 20.11/3.26 'fun_app$ah'('fmb_ZF_nat_bool_fun_fun$_1','fmb_ZF$_1') = 'fmb_Nat_bool_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_catDom$a',type,'catDom$a': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > 'ZF_ZF_unit_Category_ext$'). 20.11/3.26 tff('function_catDom$a',axiom, 20.11/3.26 'catDom$a'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1') = 'fmb_ZF_ZF_unit_Category_ext$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_oppositeCategory$',type,'oppositeCategory$': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'A_b_b_c_LSCategory_ext_Category_ext$'). 20.11/3.26 tff('function_oppositeCategory$',axiom, 20.11/3.26 'oppositeCategory$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_A_b_b_c_LSCategory_ext_Category_ext$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_uxn$',type,'uxn$': ('ZF_ZF_prod_set$') > 'ZF_ZF_ZF_prod_set_fun$'). 20.11/3.26 tff('function_uxn$',axiom, 20.11/3.26 'uxn$'('fmb_ZF_ZF_prod_set$_1') = 'fmb_ZF_ZF_ZF_prod_set_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_sigma$b',type,'sigma$b': ('ZF_set$' * 'ZF_nat_set_fun$') > 'ZF_nat_prod_set$'). 20.11/3.26 tff('function_sigma$b',axiom, 20.11/3.26 'sigma$b'('fmb_ZF_set$_1','fmb_ZF_nat_set_fun$_1') = 'fmb_ZF_nat_prod_set$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_fun_app$bv',type,'fun_app$bv': ('ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun$' * 'ZF_ZF_prod$') > 'Nat_ZF_ZF_set_prod_fun$'). 20.11/3.26 tff('function_fun_app$bv',axiom, 20.11/3.26 'fun_app$bv'('fmb_ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun$_1','fmb_ZF_ZF_prod$_1') = 'fmb_Nat_ZF_ZF_set_prod_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_relInvImage$b',type,'relInvImage$b': ('ZF_ZF_prod_set$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_fun$') > 'ZF_ZF_prod_ZF_ZF_prod_prod_set$'). 20.11/3.26 tff('function_relInvImage$b',axiom, 20.11/3.26 'relInvImage$b'('fmb_ZF_ZF_prod_set$_1','fmb_ZF_ZF_prod_set$_1','fmb_ZF_ZF_prod_ZF_fun$_1') = 'fmb_ZF_ZF_prod_ZF_ZF_prod_prod_set$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_image$bg',type,'image$bg': ('ZF_ZF_prod_ZF_ZF_prod_set_fun$' * 'ZF_ZF_prod_set$') > 'ZF_ZF_prod_set_set$'). 20.11/3.26 tff('function_image$bg',axiom, 20.11/3.26 'image$bg'('fmb_ZF_ZF_prod_ZF_ZF_prod_set_fun$_1','fmb_ZF_ZF_prod_set$_1') = 'fmb_ZF_ZF_prod_set_set$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_rec_set_unit$',type,'rec_set_unit$': ('ZF$' * 'Unit$') > 'ZF_bool_fun$'). 20.11/3.26 tff('function_rec_set_unit$',axiom, 20.11/3.26 'rec_set_unit$'('fmb_ZF$_1','fmb_Unit$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_relcomp$',type,'relcomp$': ('ZF_ZF_prod_set$' * 'ZF_ZF_prod_set$') > 'ZF_ZF_prod_set$'). 20.11/3.26 tff('function_relcomp$',axiom, 20.11/3.26 'relcomp$'('fmb_ZF_ZF_prod_set$_1','fmb_ZF_ZF_prod_set$_1') = 'fmb_ZF_ZF_prod_set$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_uwa$',type,'uwa$': ('B_ZF_fun$' * 'B_set$' * 'ZF_bool_fun$') > 'B_bool_fun$'). 20.11/3.26 tff('function_uwa$',axiom, 20.11/3.26 'uwa$'('fmb_B_ZF_fun$_1','fmb_B_set$_1','fmb_ZF_bool_fun$_1') = 'fmb_B_bool_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_mapO$a',type,'mapO$a': ('A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$') > 'A_a_fun$'). 20.11/3.26 tff('function_mapO$a',axiom, 20.11/3.26 'mapO$a'('fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$_1') = 'fmb_A_a_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_uwl$',type,'uwl$': ('ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_set$') > 'ZF_bool_fun$'). 20.11/3.26 tff('function_uwl$',axiom, 20.11/3.26 'uwl$'('fmb_ZF_ZF_prod_ZF_fun$_1','fmb_ZF_ZF_prod_set$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_unitFunctor$',type,'unitFunctor$': ('ZF_ZF_unit_Category_ext$') > 'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$'). 20.11/3.26 tff('function_unitFunctor$',axiom, 20.11/3.26 'unitFunctor$'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_vas$',type,'vas$': ('Nat_nat_ZF_set_fun_fun$' * 'Nat_nat_fun$') > 'Nat_ZF_set_fun$'). 20.11/3.26 tff('function_vas$',axiom, 20.11/3.26 'vas$'('fmb_Nat_nat_ZF_set_fun_fun$_1','fmb_Nat_nat_fun$_1') = 'fmb_Nat_ZF_set_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_fun_app$b',type,'fun_app$b': ('ZF_ZF_ZF_fun_fun$' * 'ZF$') > 'ZF_ZF_fun$'). 20.11/3.26 tff('function_fun_app$b',axiom, 20.11/3.26 'fun_app$b'('fmb_ZF_ZF_ZF_fun_fun$_1','fmb_ZF$_1') = 'fmb_ZF_ZF_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_uyt$',type,'uyt$': ('Nat_ZF_set_fun$') > 'Nat_set_ZF_set_fun$'). 20.11/3.26 tff('function_uyt$',axiom, 20.11/3.26 'uyt$'('fmb_Nat_ZF_set_fun$_1') = 'fmb_Nat_set_ZF_set_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_constFunctor$',type,'constFunctor$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$') > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'). 20.11/3.26 tff('function_constFunctor$',axiom, 20.11/3.26 'constFunctor$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_A$_1') = 'fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_vbb$',type,'vbb$': ('Nat_nat_ZF_set_fun_fun$') > 'Nat_nat_fun_ZF_set_fun$'). 20.11/3.26 tff('function_vbb$',axiom, 20.11/3.26 'vbb$'('fmb_Nat_nat_ZF_set_fun_fun$_1') = 'fmb_Nat_nat_fun_ZF_set_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_the$a',type,'the$a': ('B_bool_fun$') > 'B$'). 20.11/3.26 tff('function_the$a',axiom, 20.11/3.26 'the$a'('fmb_B_bool_fun$_1') = 'fmb_B$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_mapsTo$',type,'mapsTo$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'B$' * 'A$') > 'A_bool_fun$'). 20.11/3.26 tff('function_mapsTo$',axiom, 20.11/3.26 'mapsTo$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_B$_1','fmb_A$_1') = 'fmb_A_bool_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_compDefined$',type,'compDefined$': ('ZF_ZF_unit_Category_ext$') > 'ZF_ZF_bool_fun_fun$'). 20.11/3.26 tff('function_compDefined$',axiom, 20.11/3.26 'compDefined$'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_bool_fun_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_case_prod$',type,'case_prod$': ('ZF_ZF_ZF_fun_fun$') > 'ZF_ZF_prod_ZF_fun$'). 20.11/3.26 tff('function_case_prod$',axiom, 20.11/3.26 'case_prod$'('fmb_ZF_ZF_ZF_fun_fun$_1') = 'fmb_ZF_ZF_prod_ZF_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_uyq$',type,'uyq$': ('Nat_ZF_set_fun$' * 'Nat_nat_set_fun$') > 'Nat_ZF_set_fun$'). 20.11/3.26 tff('function_uyq$',axiom, 20.11/3.26 'uyq$'('fmb_Nat_ZF_set_fun$_1','fmb_Nat_nat_set_fun$_1') = 'fmb_Nat_ZF_set_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_sigma$g',type,'sigma$g': ('ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_set_fun$') > 'ZF_ZF_prod_ZF_prod_set$'). 20.11/3.26 tff('function_sigma$g',axiom, 20.11/3.26 'sigma$g'('fmb_ZF_ZF_prod_set$_1','fmb_ZF_ZF_prod_ZF_set_fun$_1') = 'fmb_ZF_ZF_prod_ZF_prod_set$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_uwx$',type,'uwx$': ('Nat_ZF_fun$') > 'ZF_bool_fun$'). 20.11/3.26 tff('function_uwx$',axiom, 20.11/3.26 'uwx$'('fmb_Nat_ZF_fun$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_constFunctor$d',type,'constFunctor$d': ('ZF_ZF_unit_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$') > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'). 20.11/3.26 tff('function_constFunctor$d',axiom, 20.11/3.26 'constFunctor$d'('fmb_ZF_ZF_unit_Category_ext$_1','fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_A$_1') = 'fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_comp$f',type,'comp$f': ('ZF_set_ZF_set_set_fun$' * 'ZF_set_set_ZF_set_fun$') > 'ZF_set_set_ZF_set_set_fun$'). 20.11/3.26 tff('function_comp$f',axiom, 20.11/3.26 'comp$f'('fmb_ZF_set_ZF_set_set_fun$_1','fmb_ZF_set_set_ZF_set_fun$_1') = 'fmb_ZF_set_set_ZF_set_set_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_sup$c',type,'sup$c': ('B_set_set$') > 'B_set$'). 20.11/3.26 tff('function_sup$c',axiom, 20.11/3.26 'sup$c'('fmb_B_set_set$_1') = 'fmb_B_set$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_fun_app$bk',type,'fun_app$bk': ('B_a_fun$' * 'B$') > 'A$'). 20.11/3.26 tff('function_fun_app$bk',axiom, 20.11/3.26 'fun_app$bk'('fmb_B_a_fun$_1','fmb_B$_1') = 'fmb_A$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_image$z',type,'image$z': ('ZF_ZF_ZF_prod_fun$' * 'ZF_set$') > 'ZF_ZF_prod_set$'). 20.11/3.26 tff('function_image$z',axiom, 20.11/3.26 'image$z'('fmb_ZF_ZF_ZF_prod_fun$_1','fmb_ZF_set$_1') = 'fmb_ZF_ZF_prod_set$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_extensional$e',type,'extensional$e': ('B_set$') > 'B_ZF_fun_set$'). 20.11/3.26 tff('function_extensional$e',axiom, 20.11/3.26 'extensional$e'('fmb_B_set$_1') = 'fmb_B_ZF_fun_set$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_rec_unit$',type,'rec_unit$': ('ZF$' * 'Unit$') > 'ZF$'). 20.11/3.26 tff('function_rec_unit$',axiom, 20.11/3.26 'rec_unit$'('fmb_ZF$_1','fmb_Unit$_1') = 'fmb_ZF$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_uzv$',type,'uzv$': ('ZF_ZF_bool_fun_fun$') > 'ZF_bool_fun$'). 20.11/3.26 tff('function_uzv$',axiom, 20.11/3.26 'uzv$'('fmb_ZF_ZF_bool_fun_fun$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_member$c',type,'member$c': ('A$') > 'A_set_bool_fun$'). 20.11/3.26 tff('function_member$c',axiom, 20.11/3.26 'member$c'('fmb_A$_1') = 'fmb_A_set_bool_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_inf$',type,'inf$': ('ZF_set_set$') > 'ZF_set$'). 20.11/3.26 tff('function_inf$',axiom, 20.11/3.26 'inf$'('fmb_ZF_set_set$_1') = 'fmb_ZF_set$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_sup$h',type,'sup$h': ('B_bool_fun_set$') > 'B_bool_fun$'). 20.11/3.26 tff('function_sup$h',axiom, 20.11/3.26 'sup$h'('fmb_B_bool_fun_set$_1') = 'fmb_B_bool_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_cod_update$',type,'cod_update$': ('ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_unit_Category_ext$') > 'ZF_ZF_unit_Category_ext$'). 20.11/3.26 tff('function_cod_update$',axiom, 20.11/3.26 'cod_update$'('fmb_ZF_ZF_fun_ZF_ZF_fun_fun$_1','fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_unit_Category_ext$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_rec_bool$',type,'rec_bool$': ('ZF$' * 'ZF$' * tlbool) > 'ZF$'). 20.11/3.26 tff('function_rec_bool$',axiom, 20.11/3.26 'rec_bool$'('fmb_ZF$_1','fmb_ZF$_1',fmb_tlbool_1) = 'fmb_ZF$_1' 20.11/3.26 & 'rec_bool$'('fmb_ZF$_1','fmb_ZF$_1',fmb_tlbool_2) = 'fmb_ZF$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_member$a',type,'member$a': ('ZF_set$') > 'ZF_set_set_bool_fun$'). 20.11/3.26 tff('function_member$a',axiom, 20.11/3.26 'member$a'('fmb_ZF_set$_1') = 'fmb_ZF_set_set_bool_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_uyh$',type,'uyh$': ('ZF_ZF_fun$' * 'ZF_set$') > 'ZF_ZF_set_fun$'). 20.11/3.26 tff('function_uyh$',axiom, 20.11/3.26 'uyh$'('fmb_ZF_ZF_fun$_1','fmb_ZF_set$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_extensional$d',type,'extensional$d': ('ZF_ZF_prod_set$') > 'ZF_ZF_prod_ZF_fun_set$'). 20.11/3.26 tff('function_extensional$d',axiom, 20.11/3.26 'extensional$d'('fmb_ZF_ZF_prod_set$_1') = 'fmb_ZF_ZF_prod_ZF_fun_set$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_fun_app$av',type,'fun_app$av': ('ZF_ZF_ZF_prod_set_fun$' * 'ZF$') > 'ZF_ZF_prod_set$'). 20.11/3.26 tff('function_fun_app$av',axiom, 20.11/3.26 'fun_app$av'('fmb_ZF_ZF_ZF_prod_set_fun$_1','fmb_ZF$_1') = 'fmb_ZF_ZF_prod_set$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_fun_app$dd',type,'fun_app$dd': ('ZF_set_set_ZF_set_set_set_fun$' * 'ZF_set_set$') > 'ZF_set_set_set$'). 20.11/3.26 tff('function_fun_app$dd',axiom, 20.11/3.26 'fun_app$dd'('fmb_ZF_set_set_ZF_set_set_set_fun$_1','fmb_ZF_set_set$_1') = 'fmb_ZF_set_set_set$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_sigma$k',type,'sigma$k': ('ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_ZF_prod_set_fun$') > 'ZF_ZF_prod_ZF_ZF_prod_prod_set$'). 20.11/3.26 tff('function_sigma$k',axiom, 20.11/3.26 'sigma$k'('fmb_ZF_ZF_prod_set$_1','fmb_ZF_ZF_prod_ZF_ZF_prod_set_fun$_1') = 'fmb_ZF_ZF_prod_ZF_ZF_prod_prod_set$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_restrict$a',type,'restrict$a': ('B_b_prod_b_fun$' * 'B_b_prod_set$' * 'B_b_prod$') > 'B$'). 20.11/3.26 tff('function_restrict$a',axiom, 20.11/3.26 'restrict$a'('fmb_B_b_prod_b_fun$_1','fmb_B_b_prod_set$_1','fmb_B_b_prod$_1') = 'fmb_B$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_fun_app$ai',type,'fun_app$ai': ('ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod$') > 'ZF$'). 20.11/3.26 tff('function_fun_app$ai',axiom, 20.11/3.26 'fun_app$ai'('fmb_ZF_ZF_prod_ZF_fun$_1','fmb_ZF_ZF_prod$_1') = 'fmb_ZF$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_uwk$',type,'uwk$': ('ZF_ZF_set_fun$' * 'ZF_set$') > 'ZF_set_bool_fun$'). 20.11/3.26 tff('function_uwk$',axiom, 20.11/3.26 'uwk$'('fmb_ZF_ZF_set_fun$_1','fmb_ZF_set$_1') = 'fmb_ZF_set_bool_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_fun_app$cr',type,'fun_app$cr': ('A_a_set_fun$' * 'A$') > 'A_set$'). 20.11/3.26 tff('function_fun_app$cr',axiom, 20.11/3.26 'fun_app$cr'('fmb_A_a_set_fun$_1','fmb_A$_1') = 'fmb_A_set$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_obj_update$',type,'obj_update$': ('A_set_a_set_fun$' * 'A_b_b_c_LSCategory_ext_Category_ext$') > 'A_b_b_c_LSCategory_ext_Category_ext$'). 20.11/3.26 tff('function_obj_update$',axiom, 20.11/3.26 'obj_update$'('fmb_A_set_a_set_fun$_1','fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_A_b_b_c_LSCategory_ext_Category_ext$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_uux$',type,'uux$': ('A_set$' * 'A_bool_fun$') > 'A_bool_fun$'). 20.11/3.26 tff('function_uux$',axiom, 20.11/3.26 'uux$'('fmb_A_set$_1','fmb_A_bool_fun$_1') = 'fmb_A_bool_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_image$bq',type,'image$bq': ('Nat_nat_fun_ZF_set_fun$' * 'Nat_nat_fun_set$') > 'ZF_set_set$'). 20.11/3.26 tff('function_image$bq',axiom, 20.11/3.26 'image$bq'('fmb_Nat_nat_fun_ZF_set_fun$_1','fmb_Nat_nat_fun_set$_1') = 'fmb_ZF_set_set$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_uwd$',type,'uwd$': ('ZF_set_a_fun$' * 'ZF_set_set$' * 'A_bool_fun$') > 'A_bool_fun$'). 20.11/3.26 tff('function_uwd$',axiom, 20.11/3.26 'uwd$'('fmb_ZF_set_a_fun$_1','fmb_ZF_set_set$_1','fmb_A_bool_fun$_1') = 'fmb_A_bool_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_uyb$',type,'uyb$': ('Nat_ZF_set_fun$' * 'Nat_ZF_set_fun$') > 'Nat_nat_ZF_set_ZF_set_prod_fun_fun$'). 20.11/3.26 tff('function_uyb$',axiom, 20.11/3.26 'uyb$'('fmb_Nat_ZF_set_fun$_1','fmb_Nat_ZF_set_fun$_1') = 'fmb_Nat_nat_ZF_set_ZF_set_prod_fun_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_id_update$',type,'id_update$': ('ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_unit_Category_ext$') > 'ZF_ZF_unit_Category_ext$'). 20.11/3.26 tff('function_id_update$',axiom, 20.11/3.26 'id_update$'('fmb_ZF_ZF_fun_ZF_ZF_fun_fun$_1','fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_unit_Category_ext$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_image$e',type,'image$e': ('A_set_bool_fun$' * 'A_set_set$') > 'Bool_set$'). 20.11/3.26 tff('function_image$e',axiom, 20.11/3.26 'image$e'('fmb_A_set_bool_fun$_1','fmb_A_set_set$_1') = 'fmb_Bool_set$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_fun_app$o',type,'fun_app$o': ('A_set_a_bool_fun_fun$' * 'A_set$') > 'A_bool_fun$'). 20.11/3.26 tff('function_fun_app$o',axiom, 20.11/3.26 'fun_app$o'('fmb_A_set_a_bool_fun_fun$_1','fmb_A_set$_1') = 'fmb_A_bool_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_inverse_rel$',type,'inverse_rel$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'B$') > 'B_bool_fun$'). 20.11/3.26 tff('function_inverse_rel$',axiom, 20.11/3.26 'inverse_rel$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_B$_1') = 'fmb_B_bool_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_mapO$b',type,'mapO$b': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > 'ZF_ZF_fun$'). 20.11/3.26 tff('function_mapO$b',axiom, 20.11/3.26 'mapO$b'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1') = 'fmb_ZF_ZF_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_fun_app$co',type,'fun_app$co': ('A_ZF_set_fun$' * 'A$') > 'ZF_set$'). 20.11/3.26 tff('function_fun_app$co',axiom, 20.11/3.26 'fun_app$co'('fmb_A_ZF_set_fun$_1','fmb_A$_1') = 'fmb_ZF_set$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_uwp$',type,'uwp$': ('ZF_set_ZF_fun$' * 'ZF_set_set$') > 'ZF_bool_fun$'). 20.11/3.26 tff('function_uwp$',axiom, 20.11/3.26 'uwp$'('fmb_ZF_set_ZF_fun$_1','fmb_ZF_set_set$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_fun_app$bn',type,'fun_app$bn': ('ZF_ZF_ZF_ZF_prod_set_fun_fun$' * 'ZF$') > 'ZF_ZF_ZF_prod_set_fun$'). 20.11/3.26 tff('function_fun_app$bn',axiom, 20.11/3.26 'fun_app$bn'('fmb_ZF_ZF_ZF_ZF_prod_set_fun_fun$_1','fmb_ZF$_1') = 'fmb_ZF_ZF_ZF_prod_set_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_uye$',type,'uye$': ('ZF_ZF_prod_set$') > 'ZF_ZF_prod_ZF_ZF_prod_set_fun$'). 20.11/3.26 tff('function_uye$',axiom, 20.11/3.26 'uye$'('fmb_ZF_ZF_prod_set$_1') = 'fmb_ZF_ZF_prod_ZF_ZF_prod_set_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_comp$g',type,'comp$g': ('ZF_set_set_ZF_set_fun$' * 'ZF_ZF_prod_set_set_ZF_set_set_fun$') > 'ZF_ZF_prod_set_set_ZF_set_fun$'). 20.11/3.26 tff('function_comp$g',axiom, 20.11/3.26 'comp$g'('fmb_ZF_set_set_ZF_set_fun$_1','fmb_ZF_ZF_prod_set_set_ZF_set_set_fun$_1') = 'fmb_ZF_ZF_prod_set_set_ZF_set_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_sup$j',type,'sup$j': ('ZF_bool_fun_set$') > 'ZF_bool_fun$'). 20.11/3.26 tff('function_sup$j',axiom, 20.11/3.26 'sup$j'('fmb_ZF_bool_fun_set$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_image$f',type,'image$f': ('ZF_ZF_prod_ZF_fun$') > 'ZF_ZF_prod_set_ZF_set_fun$'). 20.11/3.26 tff('function_image$f',axiom, 20.11/3.26 'image$f'('fmb_ZF_ZF_prod_ZF_fun$_1') = 'fmb_ZF_ZF_prod_set_ZF_set_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_uww$',type,'uww$': ('Nat_ZF_set_fun$') > 'ZF_set_bool_fun$'). 20.11/3.26 tff('function_uww$',axiom, 20.11/3.26 'uww$'('fmb_Nat_ZF_set_fun$_1') = 'fmb_ZF_set_bool_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_image$',type,'image$': ('Nat_ZF_set_fun$') > 'Nat_set_ZF_set_set_fun$'). 20.11/3.26 tff('function_image$',axiom, 20.11/3.26 'image$'('fmb_Nat_ZF_set_fun$_1') = 'fmb_Nat_set_ZF_set_set_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_fun_app$aa',type,'fun_app$aa': ('Nat_nat_ZF_set_fun_fun$' * 'Nat$') > 'Nat_ZF_set_fun$'). 20.11/3.26 tff('function_fun_app$aa',axiom, 20.11/3.26 'fun_app$aa'('fmb_Nat_nat_ZF_set_fun_fun$_1','fmb_Nat$_1') = 'fmb_Nat_ZF_set_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_fun_app$cg',type,'fun_app$cg': ('ZF_ZF_prod_nat_set_fun$' * 'ZF_ZF_prod$') > 'Nat_set$'). 20.11/3.26 tff('function_fun_app$cg',axiom, 20.11/3.26 'fun_app$cg'('fmb_ZF_ZF_prod_nat_set_fun$_1','fmb_ZF_ZF_prod$_1') = 'fmb_Nat_set$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_image$ac',type,'image$ac': ('ZF_nat_prod_ZF_set_ZF_set_prod_fun$' * 'ZF_nat_prod_set$') > 'ZF_set_ZF_set_prod_set$'). 20.11/3.26 tff('function_image$ac',axiom, 20.11/3.26 'image$ac'('fmb_ZF_nat_prod_ZF_set_ZF_set_prod_fun$_1','fmb_ZF_nat_prod_set$_1') = 'fmb_ZF_set_ZF_set_prod_set$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_converse$',type,'converse$': ('ZF_ZF_prod_set$') > 'ZF_ZF_prod_set$'). 20.11/3.26 tff('function_converse$',axiom, 20.11/3.26 'converse$'('fmb_ZF_ZF_prod_set$_1') = 'fmb_ZF_ZF_prod_set$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_uwv$',type,'uwv$': ('ZF_ZF_fun$') > 'ZF_bool_fun$'). 20.11/3.26 tff('function_uwv$',axiom, 20.11/3.26 'uwv$'('fmb_ZF_ZF_fun$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_uzb$',type,'uzb$': ('Nat_ZF_ZF_set_fun_fun$' * 'ZF_set$') > 'Nat_ZF_set_fun$'). 20.11/3.26 tff('function_uzb$',axiom, 20.11/3.26 'uzb$'('fmb_Nat_ZF_ZF_set_fun_fun$_1','fmb_ZF_set$_1') = 'fmb_Nat_ZF_set_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_uxi$',type,'uxi$': ('ZF_set$') > 'ZF_ZF_set_fun$'). 20.11/3.26 tff('function_uxi$',axiom, 20.11/3.26 'uxi$'('fmb_ZF_set$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_uxl$',type,'uxl$': ('ZF_ZF_bool_fun_fun$') > 'ZF_ZF_set_fun$'). 20.11/3.26 tff('function_uxl$',axiom, 20.11/3.26 'uxl$'('fmb_ZF_ZF_bool_fun_fun$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_fun_app$bf',type,'fun_app$bf': ('A_ZF_fun$' * 'A$') > 'ZF$'). 20.11/3.26 tff('function_fun_app$bf',axiom, 20.11/3.26 'fun_app$bf'('fmb_A_ZF_fun$_1','fmb_A$_1') = 'fmb_ZF$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_uxh$',type,'uxh$': ('ZF_bool_fun$') > 'ZF_ZF_set_fun$'). 20.11/3.26 tff('function_uxh$',axiom, 20.11/3.26 'uxh$'('fmb_ZF_bool_fun$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.26 20.11/3.26 ). 20.11/3.26 20.11/3.26 tff('declare_comp$j',type,'comp$j': ('ZF_set_ZF_set_fun$' * 'ZF_set_set_ZF_set_fun$') > 'ZF_set_set_ZF_set_fun$'). 20.11/3.27 tff('function_comp$j',axiom, 20.11/3.27 'comp$j'('fmb_ZF_set_ZF_set_fun$_1','fmb_ZF_set_set_ZF_set_fun$_1') = 'fmb_ZF_set_set_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_gr$',type,'gr$': ('ZF_set$' * 'ZF_ZF_set_fun$') > 'ZF_ZF_set_prod_set$'). 20.11/3.27 tff('function_gr$',axiom, 20.11/3.27 'gr$'('fmb_ZF_set$_1','fmb_ZF_ZF_set_fun$_1') = 'fmb_ZF_ZF_set_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_comp$e',type,'comp$e': ('ZF_set_set_set_ZF_set_set_fun$' * 'ZF_set_set_ZF_set_set_set_fun$') > 'ZF_set_set_ZF_set_set_fun$'). 20.11/3.27 tff('function_comp$e',axiom, 20.11/3.27 'comp$e'('fmb_ZF_set_set_set_ZF_set_set_fun$_1','fmb_ZF_set_set_ZF_set_set_set_fun$_1') = 'fmb_ZF_set_set_ZF_set_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uuh$',type,'uuh$': (tlbool * 'ZF$') > 'ZF_ZF_bool_fun_fun$'). 20.11/3.27 tff('function_uuh$',axiom, 20.11/3.27 'uuh$'(fmb_tlbool_1,'fmb_ZF$_1') = 'fmb_ZF_ZF_bool_fun_fun$_1' 20.11/3.27 & 'uuh$'(fmb_tlbool_2,'fmb_ZF$_1') = 'fmb_ZF_ZF_bool_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_sigma$f',type,'sigma$f': ('ZF_set_set$' * 'ZF_set_ZF_set_fun$') > 'ZF_set_ZF_prod_set$'). 20.11/3.27 tff('function_sigma$f',axiom, 20.11/3.27 'sigma$f'('fmb_ZF_set_set$_1','fmb_ZF_set_ZF_set_fun$_1') = 'fmb_ZF_set_ZF_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_sigma$',type,'sigma$': ('ZF_set$' * 'ZF_ZF_set_fun$') > 'ZF_ZF_prod_set$'). 20.11/3.27 tff('function_sigma$',axiom, 20.11/3.27 'sigma$'('fmb_ZF_set$_1','fmb_ZF_ZF_set_fun$_1') = 'fmb_ZF_ZF_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_sup$i',type,'sup$i': ('ZF_set_bool_fun_set$') > 'ZF_set_bool_fun$'). 20.11/3.27 tff('function_sup$i',axiom, 20.11/3.27 'sup$i'('fmb_ZF_set_bool_fun_set$_1') = 'fmb_ZF_set_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_pair$a',type,'pair$a': ('B$' * 'B$') > 'B_b_prod$'). 20.11/3.27 tff('function_pair$a',axiom, 20.11/3.27 'pair$a'('fmb_B$_1','fmb_B$_1') = 'fmb_B_b_prod$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uyp$',type,'uyp$': ('Nat_ZF_set_fun$' * 'ZF_nat_set_fun$') > 'ZF_ZF_set_fun$'). 20.11/3.27 tff('function_uyp$',axiom, 20.11/3.27 'uyp$'('fmb_Nat_ZF_set_fun$_1','fmb_ZF_nat_set_fun$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_vao$',type,'vao$': ('Nat_ZF_ZF_set_fun_fun$') > 'ZF_ZF_set_fun$'). 20.11/3.27 tff('function_vao$',axiom, 20.11/3.27 'vao$'('fmb_Nat_ZF_ZF_set_fun_fun$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uzn$',type,'uzn$': ('Nat_ZF_set_fun$') > 'Nat_ZF_ZF_set_fun_fun$'). 20.11/3.27 tff('function_uzn$',axiom, 20.11/3.27 'uzn$'('fmb_Nat_ZF_set_fun$_1') = 'fmb_Nat_ZF_ZF_set_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$m',type,'image$m': ('B_a_fun$' * 'B_set$') > 'A_set$'). 20.11/3.27 tff('function_image$m',axiom, 20.11/3.27 'image$m'('fmb_B_a_fun$_1','fmb_B_set$_1') = 'fmb_A_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uzs$',type,'uzs$': ('ZF_ZF_set_fun$' * 'ZF_set$') > 'ZF_ZF_set_fun$'). 20.11/3.27 tff('function_uzs$',axiom, 20.11/3.27 'uzs$'('fmb_ZF_ZF_set_fun$_1','fmb_ZF_set$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_extensional$c',type,'extensional$c': ('B_b_prod_set$') > 'B_b_prod_b_fun_set$'). 20.11/3.27 tff('function_extensional$c',axiom, 20.11/3.27 'extensional$c'('fmb_B_b_prod_set$_1') = 'fmb_B_b_prod_b_fun_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_case_prod$a',type,'case_prod$a': ('B_b_b_fun_fun$') > 'B_b_prod_b_fun$'). 20.11/3.27 tff('function_case_prod$a',axiom, 20.11/3.27 'case_prod$a'('fmb_B_b_b_fun_fun$_1') = 'fmb_B_b_prod_b_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uzp$',type,'uzp$': ('Nat_ZF_set_fun$' * 'Nat_set$') > 'ZF_ZF_set_fun$'). 20.11/3.27 tff('function_uzp$',axiom, 20.11/3.27 'uzp$'('fmb_Nat_ZF_set_fun$_1','fmb_Nat_set$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_collect$i',type,'collect$i': ('B_bool_fun$') > 'B_set$'). 20.11/3.27 tff('function_collect$i',axiom, 20.11/3.27 'collect$i'('fmb_B_bool_fun$_1') = 'fmb_B_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uve$',type,'uve$': ('ZF_set_ZF_set_fun$' * 'Nat_ZF_set_fun$') > 'Nat_ZF_set_fun$'). 20.11/3.27 tff('function_uve$',axiom, 20.11/3.27 'uve$'('fmb_ZF_set_ZF_set_fun$_1','fmb_Nat_ZF_set_fun$_1') = 'fmb_Nat_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uyc$',type,'uyc$': ('Nat_set$') > 'Nat_nat_set_fun$'). 20.11/3.27 tff('function_uyc$',axiom, 20.11/3.27 'uyc$'('fmb_Nat_set$_1') = 'fmb_Nat_nat_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$a',type,'image$a': ('ZF_ZF_set_fun$') > 'ZF_set_ZF_set_set_fun$'). 20.11/3.27 tff('function_image$a',axiom, 20.11/3.27 'image$a'('fmb_ZF_ZF_set_fun$_1') = 'fmb_ZF_set_ZF_set_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$bc',type,'image$bc': ('Nat_ZF_set_set_fun$' * 'Nat_set$') > 'ZF_set_set_set$'). 20.11/3.27 tff('function_image$bc',axiom, 20.11/3.27 'image$bc'('fmb_Nat_ZF_set_set_fun$_1','fmb_Nat_set$_1') = 'fmb_ZF_set_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_makeCat$',type,'makeCat$': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'A_b_b_c_LSCategory_ext_Category_ext$'). 20.11/3.27 tff('function_makeCat$',axiom, 20.11/3.27 'makeCat$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_A_b_b_c_LSCategory_ext_Category_ext$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$p',type,'image$p': ('A_a_fun$') > 'A_set_a_set_fun$'). 20.11/3.27 tff('function_image$p',axiom, 20.11/3.27 'image$p'('fmb_A_a_fun$_1') = 'fmb_A_set_a_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$bh',type,'image$bh': ('A_set_a_bool_fun_fun$' * 'A_set_set$') > 'A_bool_fun_set$'). 20.11/3.27 tff('function_image$bh',axiom, 20.11/3.27 'image$bh'('fmb_A_set_a_bool_fun_fun$_1','fmb_A_set_set$_1') = 'fmb_A_bool_fun_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$aq',type,'fun_app$aq': ('ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' * 'ZF_ZF_ZF_fun_fun$') > 'ZF_ZF_ZF_fun_fun$'). 20.11/3.27 tff('function_fun_app$aq',axiom, 20.11/3.27 'fun_app$aq'('fmb_ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$_1','fmb_ZF_ZF_ZF_fun_fun$_1') = 'fmb_ZF_ZF_ZF_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_mor$a',type,'mor$a': ('ZF_ZF_unit_Category_ext$') > 'ZF_set$'). 20.11/3.27 tff('function_mor$a',axiom, 20.11/3.27 'mor$a'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uxa$',type,'uxa$': ('Nat_ZF_set_fun$' * 'Nat_set$') > 'ZF_set_ZF_set_set_fun$'). 20.11/3.27 tff('function_uxa$',axiom, 20.11/3.27 'uxa$'('fmb_Nat_ZF_set_fun$_1','fmb_Nat_set$_1') = 'fmb_ZF_set_ZF_set_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_sigma$c',type,'sigma$c': ('Nat_set$' * 'Nat_ZF_set_fun$') > 'Nat_ZF_prod_set$'). 20.11/3.27 tff('function_sigma$c',axiom, 20.11/3.27 'sigma$c'('fmb_Nat_set$_1','fmb_Nat_ZF_set_fun$_1') = 'fmb_Nat_ZF_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_catDom$',type,'catDom$': ('A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$') > 'A_b_b_c_LSCategory_ext_Category_ext$'). 20.11/3.27 tff('function_catDom$',axiom, 20.11/3.27 'catDom$'('fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$_1') = 'fmb_A_b_b_c_LSCategory_ext_Category_ext$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uui$',type,'uui$': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'B_b_prod_bool_fun$'). 20.11/3.27 tff('function_uui$',axiom, 20.11/3.27 'uui$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_B_b_prod_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uuz$',type,'uuz$': ('ZF_set_set$' * 'ZF_set_bool_fun$') > 'ZF_set_bool_fun$'). 20.11/3.27 tff('function_uuz$',axiom, 20.11/3.27 'uuz$'('fmb_ZF_set_set$_1','fmb_ZF_set_bool_fun$_1') = 'fmb_ZF_set_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uuj$',type,'uuj$': ('ZF_ZF_unit_Category_ext$') > 'ZF_ZF_prod_bool_fun$'). 20.11/3.27 tff('function_uuj$',axiom, 20.11/3.27 'uuj$'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_prod_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_extensional$a',type,'extensional$a': ('ZF_set$') > 'ZF_ZF_fun_set$'). 20.11/3.27 tff('function_extensional$a',axiom, 20.11/3.27 'extensional$a'('fmb_ZF_set$_1') = 'fmb_ZF_ZF_fun_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$ay',type,'fun_app$ay': ('Nat_ZF_set_set_fun$' * 'Nat$') > 'ZF_set_set$'). 20.11/3.27 tff('function_fun_app$ay',axiom, 20.11/3.27 'fun_app$ay'('fmb_Nat_ZF_set_set_fun$_1','fmb_Nat$_1') = 'fmb_ZF_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uzg$',type,'uzg$': ('Nat_nat_ZF_set_fun_fun$' * 'Nat_set$') > 'Nat_ZF_set_fun$'). 20.11/3.27 tff('function_uzg$',axiom, 20.11/3.27 'uzg$'('fmb_Nat_nat_ZF_set_fun_fun$_1','fmb_Nat_set$_1') = 'fmb_Nat_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_sigma$e',type,'sigma$e': ('ZF_set$' * 'ZF_ZF_ZF_prod_set_fun$') > 'ZF_ZF_ZF_prod_prod_set$'). 20.11/3.27 tff('function_sigma$e',axiom, 20.11/3.27 'sigma$e'('fmb_ZF_set$_1','fmb_ZF_ZF_ZF_prod_set_fun$_1') = 'fmb_ZF_ZF_ZF_prod_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$az',type,'fun_app$az': ('ZF_ZF_prod_ZF_ZF_prod_fun$' * 'ZF_ZF_prod$') > 'ZF_ZF_prod$'). 20.11/3.27 tff('function_fun_app$az',axiom, 20.11/3.27 'fun_app$az'('fmb_ZF_ZF_prod_ZF_ZF_prod_fun$_1','fmb_ZF_ZF_prod$_1') = 'fmb_ZF_ZF_prod$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uwr$',type,'uwr$': ('ZF_ZF_prod_ZF_fun$' * 'Nat_ZF_ZF_prod_fun$') > 'Nat_ZF_fun$'). 20.11/3.27 tff('function_uwr$',axiom, 20.11/3.27 'uwr$'('fmb_ZF_ZF_prod_ZF_fun$_1','fmb_Nat_ZF_ZF_prod_fun$_1') = 'fmb_Nat_ZF_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$ah',type,'image$ah': ('Nat_nat_prod_ZF_set_ZF_set_prod_fun$' * 'Nat_nat_prod_set$') > 'ZF_set_ZF_set_prod_set$'). 20.11/3.27 tff('function_image$ah',axiom, 20.11/3.27 'image$ah'('fmb_Nat_nat_prod_ZF_set_ZF_set_prod_fun$_1','fmb_Nat_nat_prod_set$_1') = 'fmb_ZF_set_ZF_set_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$h',type,'image$h': ('ZF_b_fun$' * 'ZF_set$') > 'B_set$'). 20.11/3.27 tff('function_image$h',axiom, 20.11/3.27 'image$h'('fmb_ZF_b_fun$_1','fmb_ZF_set$_1') = 'fmb_B_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uwt$',type,'uwt$': ('ZF_ZF_prod_ZF_fun$') > 'ZF_bool_fun$'). 20.11/3.27 tff('function_uwt$',axiom, 20.11/3.27 'uwt$'('fmb_ZF_ZF_prod_ZF_fun$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uyv$',type,'uyv$': ('ZF_ZF_ZF_set_fun_fun$' * 'ZF_set$') > 'ZF_ZF_set_fun$'). 20.11/3.27 tff('function_uyv$',axiom, 20.11/3.27 'uyv$'('fmb_ZF_ZF_ZF_set_fun_fun$_1','fmb_ZF_set$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_repl$',type,'repl$': ('ZF$' * 'ZF_ZF_fun$') > 'ZF$'). 20.11/3.27 tff('function_repl$',axiom, 20.11/3.27 'repl$'('fmb_ZF$_1','fmb_ZF_ZF_fun$_1') = 'fmb_ZF$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_inf$b',type,'inf$b': ('B_set_set$') > 'B_set$'). 20.11/3.27 tff('function_inf$b',axiom, 20.11/3.27 'inf$b'('fmb_B_set_set$_1') = 'fmb_B_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$x',type,'fun_app$x': ('ZF_set_ZF_set_set_fun$' * 'ZF_set$') > 'ZF_set_set$'). 20.11/3.27 tff('function_fun_app$x',axiom, 20.11/3.27 'fun_app$x'('fmb_ZF_set_ZF_set_set_fun$_1','fmb_ZF_set$_1') = 'fmb_ZF_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_comp$d',type,'comp$d': ('Nat_set_ZF_set_set_fun$' * 'Nat_set_set_nat_set_fun$') > 'Nat_set_set_ZF_set_set_fun$'). 20.11/3.27 tff('function_comp$d',axiom, 20.11/3.27 'comp$d'('fmb_Nat_set_ZF_set_set_fun$_1','fmb_Nat_set_set_nat_set_fun$_1') = 'fmb_Nat_set_set_ZF_set_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_val$',type,'val$': ('ZF_nat_ZF_set_fun_fun$') > 'Nat_ZF_set_fun$'). 20.11/3.27 tff('function_val$',axiom, 20.11/3.27 'val$'('fmb_ZF_nat_ZF_set_fun_fun$_1') = 'fmb_Nat_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_obj_update$a',type,'obj_update$a': ('ZF_set_ZF_set_fun$' * 'ZF_ZF_unit_Category_ext$') > 'ZF_ZF_unit_Category_ext$'). 20.11/3.27 tff('function_obj_update$a',axiom, 20.11/3.27 'obj_update$a'('fmb_ZF_set_ZF_set_fun$_1','fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_unit_Category_ext$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_mor2ZF$',type,'mor2ZF$': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'B_ZF_fun$'). 20.11/3.27 tff('function_mor2ZF$',axiom, 20.11/3.27 'mor2ZF$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_B_ZF_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uva$',type,'uva$': ('ZF_set$' * 'ZF_bool_fun$') > 'ZF_bool_fun$'). 20.11/3.27 tff('function_uva$',axiom, 20.11/3.27 'uva$'('fmb_ZF_set$_1','fmb_ZF_bool_fun$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_comp_update$',type,'comp_update$': ('ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' * 'ZF_ZF_unit_Category_ext$') > 'ZF_ZF_unit_Category_ext$'). 20.11/3.27 tff('function_comp_update$',axiom, 20.11/3.27 'comp_update$'('fmb_ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$_1','fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_unit_Category_ext$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uxy$',type,'uxy$': ('ZF_set$') > 'Nat_ZF_set_fun$'). 20.11/3.27 tff('function_uxy$',axiom, 20.11/3.27 'uxy$'('fmb_ZF_set$_1') = 'fmb_Nat_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uvg$',type,'uvg$': ('ZF_ZF_set_fun$' * 'Nat_ZF_fun$') > 'Nat_ZF_set_fun$'). 20.11/3.27 tff('function_uvg$',axiom, 20.11/3.27 'uvg$'('fmb_ZF_ZF_set_fun$_1','fmb_Nat_ZF_fun$_1') = 'fmb_Nat_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uvi$',type,'uvi$': ('ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_ZF_ZF_prod_fun$') > 'ZF_ZF_prod_ZF_fun$'). 20.11/3.27 tff('function_uvi$',axiom, 20.11/3.27 'uvi$'('fmb_ZF_ZF_prod_ZF_fun$_1','fmb_ZF_ZF_prod_ZF_ZF_prod_fun$_1') = 'fmb_ZF_ZF_prod_ZF_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_extensional$b',type,'extensional$b': ('A_set$') > 'A_b_fun_set$'). 20.11/3.27 tff('function_extensional$b',axiom, 20.11/3.27 'extensional$b'('fmb_A_set$_1') = 'fmb_A_b_fun_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$ca',type,'fun_app$ca': ('Nat_ZF_set_ZF_set_prod_fun$' * 'Nat$') > 'ZF_set_ZF_set_prod$'). 20.11/3.27 tff('function_fun_app$ca',axiom, 20.11/3.27 'fun_app$ca'('fmb_Nat_ZF_set_ZF_set_prod_fun$_1','fmb_Nat$_1') = 'fmb_ZF_set_ZF_set_prod$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uvb$',type,'uvb$': ('ZF_bool_fun$' * 'ZF_bool_fun$') > 'ZF_bool_fun$'). 20.11/3.27 tff('function_uvb$',axiom, 20.11/3.27 'uvb$'('fmb_ZF_bool_fun$_1','fmb_ZF_bool_fun$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$bj',type,'image$bj': ('ZF_set_set_ZF_set_bool_fun_fun$' * 'ZF_set_set_set$') > 'ZF_set_bool_fun_set$'). 20.11/3.27 tff('function_image$bj',axiom, 20.11/3.27 'image$bj'('fmb_ZF_set_set_ZF_set_bool_fun_fun$_1','fmb_ZF_set_set_set$_1') = 'fmb_ZF_set_bool_fun_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$bw',type,'fun_app$bw': ('ZF_ZF_prod_ZF_set_ZF_prod_fun$' * 'ZF_ZF_prod$') > 'ZF_set_ZF_prod$'). 20.11/3.27 tff('function_fun_app$bw',axiom, 20.11/3.27 'fun_app$bw'('fmb_ZF_ZF_prod_ZF_set_ZF_prod_fun$_1','fmb_ZF_ZF_prod$_1') = 'fmb_ZF_set_ZF_prod$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uuk$',type,'uuk$': ('ZF_ZF_fun$') > 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$'). 20.11/3.27 tff('function_uuk$',axiom, 20.11/3.27 'uuk$'('fmb_ZF_ZF_fun$_1') = 'fmb_ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_gr$a',type,'gr$a': ('ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_fun$') > 'ZF_ZF_prod_ZF_prod_set$'). 20.11/3.27 tff('function_gr$a',axiom, 20.11/3.27 'gr$a'('fmb_ZF_ZF_prod_set$_1','fmb_ZF_ZF_prod_ZF_fun$_1') = 'fmb_ZF_ZF_prod_ZF_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uxb$',type,'uxb$': ('ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_set$') > 'ZF_ZF_set_fun$'). 20.11/3.27 tff('function_uxb$',axiom, 20.11/3.27 'uxb$'('fmb_ZF_ZF_prod_ZF_fun$_1','fmb_ZF_ZF_prod_set$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_dom_update$',type,'dom_update$': ('B_a_fun_b_a_fun_fun$' * 'A_b_b_c_LSCategory_ext_Category_ext$') > 'A_b_b_c_LSCategory_ext_Category_ext$'). 20.11/3.27 tff('function_dom_update$',axiom, 20.11/3.27 'dom_update$'('fmb_B_a_fun_b_a_fun_fun$_1','fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_A_b_b_c_LSCategory_ext_Category_ext$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_vaw$',type,'vaw$': ('ZF_nat_ZF_set_fun_fun$') > 'Nat_ZF_set_fun$'). 20.11/3.27 tff('function_vaw$',axiom, 20.11/3.27 'vaw$'('fmb_ZF_nat_ZF_set_fun_fun$_1') = 'fmb_Nat_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_zFfun$',type,'zFfun$': ('ZF$' * 'ZF$' * 'ZF_ZF_fun$') > 'ZF$'). 20.11/3.27 tff('function_zFfun$',axiom, 20.11/3.27 'zFfun$'('fmb_ZF$_1','fmb_ZF$_1','fmb_ZF_ZF_fun$_1') = 'fmb_ZF$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$cx',type,'fun_app$cx': ('B_ZF_set_fun$' * 'B$') > 'ZF_set$'). 20.11/3.27 tff('function_fun_app$cx',axiom, 20.11/3.27 'fun_app$cx'('fmb_B_ZF_set_fun$_1','fmb_B$_1') = 'fmb_ZF_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$az',type,'image$az': ('ZF_ZF_ZF_prod_set_fun$' * 'ZF_set$') > 'ZF_ZF_prod_set_set$'). 20.11/3.27 tff('function_image$az',axiom, 20.11/3.27 'image$az'('fmb_ZF_ZF_ZF_prod_set_fun$_1','fmb_ZF_set$_1') = 'fmb_ZF_ZF_prod_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_vba$',type,'vba$': ('Nat_nat_ZF_set_fun_fun$') > 'Nat_ZF_set_fun$'). 20.11/3.27 tff('function_vba$',axiom, 20.11/3.27 'vba$'('fmb_Nat_nat_ZF_set_fun_fun$_1') = 'fmb_Nat_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uvo$',type,'uvo$': ('B_a_fun$' * 'B_set$' * 'A_bool_fun$') > 'B_bool_fun$'). 20.11/3.27 tff('function_uvo$',axiom, 20.11/3.27 'uvo$'('fmb_B_a_fun$_1','fmb_B_set$_1','fmb_A_bool_fun$_1') = 'fmb_B_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$as',type,'image$as': ('ZF_set_ZF_ZF_prod_set_fun$' * 'ZF_set_set$') > 'ZF_ZF_prod_set_set$'). 20.11/3.27 tff('function_image$as',axiom, 20.11/3.27 'image$as'('fmb_ZF_set_ZF_ZF_prod_set_fun$_1','fmb_ZF_set_set$_1') = 'fmb_ZF_ZF_prod_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_comp$h',type,'comp$h': ('ZF_ZF_prod_set_ZF_set_fun$' * 'ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun$') > 'ZF_ZF_prod_set_set_ZF_set_fun$'). 20.11/3.27 tff('function_comp$h',axiom, 20.11/3.27 'comp$h'('fmb_ZF_ZF_prod_set_ZF_set_fun$_1','fmb_ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun$_1') = 'fmb_ZF_ZF_prod_set_set_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_identityFunctor$b',type,'identityFunctor$b': ('ZF_ZF_unit_Category_ext$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'). 20.11/3.27 tff('function_identityFunctor$b',axiom, 20.11/3.27 'identityFunctor$b'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_pair$',type,'pair$': ('ZF$') > 'ZF_ZF_ZF_prod_fun$'). 20.11/3.27 tff('function_pair$',axiom, 20.11/3.27 'pair$'('fmb_ZF$_1') = 'fmb_ZF_ZF_ZF_prod_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_case_prod$n',type,'case_prod$n': ('Nat_ZF_ZF_ZF_prod_set_fun_fun$') > 'Nat_ZF_prod_ZF_ZF_prod_set_fun$'). 20.11/3.27 tff('function_case_prod$n',axiom, 20.11/3.27 'case_prod$n'('fmb_Nat_ZF_ZF_ZF_prod_set_fun_fun$_1') = 'fmb_Nat_ZF_prod_ZF_ZF_prod_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uvh$',type,'uvh$': ('ZF_ZF_set_fun$' * 'ZF_ZF_prod_ZF_fun$') > 'ZF_ZF_prod_ZF_set_fun$'). 20.11/3.27 tff('function_uvh$',axiom, 20.11/3.27 'uvh$'('fmb_ZF_ZF_set_fun$_1','fmb_ZF_ZF_prod_ZF_fun$_1') = 'fmb_ZF_ZF_prod_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_vac$',type,'vac$': ('Nat_ZF_set_fun$') > 'Nat_ZF_bool_fun_fun$'). 20.11/3.27 tff('function_vac$',axiom, 20.11/3.27 'vac$'('fmb_Nat_ZF_set_fun$_1') = 'fmb_Nat_ZF_bool_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$w',type,'fun_app$w': ('ZF_nat_fun_ZF_set_fun$' * 'ZF_nat_fun$') > 'ZF_set$'). 20.11/3.27 tff('function_fun_app$w',axiom, 20.11/3.27 'fun_app$w'('fmb_ZF_nat_fun_ZF_set_fun$_1','fmb_ZF_nat_fun$_1') = 'fmb_ZF_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_vax$',type,'vax$': ('ZF_nat_ZF_set_fun_fun$') > 'Nat_ZF_fun_ZF_set_fun$'). 20.11/3.27 tff('function_vax$',axiom, 20.11/3.27 'vax$'('fmb_ZF_nat_ZF_set_fun_fun$_1') = 'fmb_Nat_ZF_fun_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$an',type,'image$an': ('B_b_set_fun$' * 'B_set$') > 'B_set_set$'). 20.11/3.27 tff('function_image$an',axiom, 20.11/3.27 'image$an'('fmb_B_b_set_fun$_1','fmb_B_set$_1') = 'fmb_B_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_obj$a',type,'obj$a': ('ZF_ZF_unit_Category_ext$') > 'ZF_set$'). 20.11/3.27 tff('function_obj$a',axiom, 20.11/3.27 'obj$a'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uwf$',type,'uwf$': ('Nat_ZF_set_fun$' * 'Nat_bool_fun$') > 'ZF_set_bool_fun$'). 20.11/3.27 tff('function_uwf$',axiom, 20.11/3.27 'uwf$'('fmb_Nat_ZF_set_fun$_1','fmb_Nat_bool_fun$_1') = 'fmb_ZF_set_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uvr$',type,'uvr$': ('B_b_fun$' * 'B_set$' * 'B_bool_fun$') > 'B_bool_fun$'). 20.11/3.27 tff('function_uvr$',axiom, 20.11/3.27 'uvr$'('fmb_B_b_fun$_1','fmb_B_set$_1','fmb_B_bool_fun$_1') = 'fmb_B_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uwu$',type,'uwu$': ('ZF_ZF_set_fun$') > 'ZF_set_bool_fun$'). 20.11/3.27 tff('function_uwu$',axiom, 20.11/3.27 'uwu$'('fmb_ZF_ZF_set_fun$_1') = 'fmb_ZF_set_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$aj',type,'fun_app$aj': ('Nat_ZF_fun$' * 'Nat$') > 'ZF$'). 20.11/3.27 tff('function_fun_app$aj',axiom, 20.11/3.27 'fun_app$aj'('fmb_Nat_ZF_fun$_1','fmb_Nat$_1') = 'fmb_ZF$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uzm$',type,'uzm$': ('ZF_ZF_fun$' * 'Nat_ZF_set_fun$') > 'Nat_ZF_set_fun$'). 20.11/3.27 tff('function_uzm$',axiom, 20.11/3.27 'uzm$'('fmb_ZF_ZF_fun$_1','fmb_Nat_ZF_set_fun$_1') = 'fmb_Nat_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$ct',type,'fun_app$ct': ('B_a_set_fun$' * 'B$') > 'A_set$'). 20.11/3.27 tff('function_fun_app$ct',axiom, 20.11/3.27 'fun_app$ct'('fmb_B_a_set_fun$_1','fmb_B$_1') = 'fmb_A_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uvu$',type,'uvu$': ('ZF_a_fun$' * 'ZF_set$' * 'A_bool_fun$') > 'ZF_bool_fun$'). 20.11/3.27 tff('function_uvu$',axiom, 20.11/3.27 'uvu$'('fmb_ZF_a_fun$_1','fmb_ZF_set$_1','fmb_A_bool_fun$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uze$',type,'uze$': ('Nat_nat_ZF_set_fun_fun$' * 'Nat_set$') > 'Nat_ZF_set_fun$'). 20.11/3.27 tff('function_uze$',axiom, 20.11/3.27 'uze$'('fmb_Nat_nat_ZF_set_fun_fun$_1','fmb_Nat_set$_1') = 'fmb_Nat_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$ax',type,'image$ax': ('Nat_nat_set_fun$' * 'Nat_set$') > 'Nat_set_set$'). 20.11/3.27 tff('function_image$ax',axiom, 20.11/3.27 'image$ax'('fmb_Nat_nat_set_fun$_1','fmb_Nat_set$_1') = 'fmb_Nat_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uyl$',type,'uyl$': ('ZF$') > 'ZF_ZF_bool_fun_fun$'). 20.11/3.27 tff('function_uyl$',axiom, 20.11/3.27 'uyl$'('fmb_ZF$_1') = 'fmb_ZF_ZF_bool_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_case_prod$l',type,'case_prod$l': ('ZF_ZF_ZF_set_ZF_set_prod_fun_fun$') > 'ZF_ZF_prod_ZF_set_ZF_set_prod_fun$'). 20.11/3.27 tff('function_case_prod$l',axiom, 20.11/3.27 'case_prod$l'('fmb_ZF_ZF_ZF_set_ZF_set_prod_fun_fun$_1') = 'fmb_ZF_ZF_prod_ZF_set_ZF_set_prod_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uun$',type,'uun$': ('ZF_ZF_unit_Category_ext$') > 'ZF_ZF_ZF_fun_fun$'). 20.11/3.27 tff('function_uun$',axiom, 20.11/3.27 'uun$'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_ZF_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$cn',type,'fun_app$cn': ('ZF_set_set_ZF_set_set_fun$' * 'ZF_set_set$') > 'ZF_set_set$'). 20.11/3.27 tff('function_fun_app$cn',axiom, 20.11/3.27 'fun_app$cn'('fmb_ZF_set_set_ZF_set_set_fun$_1','fmb_ZF_set_set$_1') = 'fmb_ZF_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$bb',type,'image$bb': ('ZF_ZF_set_set_fun$' * 'ZF_set$') > 'ZF_set_set_set$'). 20.11/3.27 tff('function_image$bb',axiom, 20.11/3.27 'image$bb'('fmb_ZF_ZF_set_set_fun$_1','fmb_ZF_set$_1') = 'fmb_ZF_set_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uyg$',type,'uyg$': ('ZF_ZF_fun$' * 'ZF_ZF_fun$') > 'ZF_ZF_ZF_ZF_prod_fun_fun$'). 20.11/3.27 tff('function_uyg$',axiom, 20.11/3.27 'uyg$'('fmb_ZF_ZF_fun$_1','fmb_ZF_ZF_fun$_1') = 'fmb_ZF_ZF_ZF_ZF_prod_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uzd$',type,'uzd$': ('Nat_ZF_ZF_set_fun_fun$' * 'Nat_set$') > 'ZF_ZF_set_fun$'). 20.11/3.27 tff('function_uzd$',axiom, 20.11/3.27 'uzd$'('fmb_Nat_ZF_ZF_set_fun_fun$_1','fmb_Nat_set$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_var$',type,'var$': ('Nat_nat_ZF_set_fun_fun$') > 'Nat_ZF_set_fun$'). 20.11/3.27 tff('function_var$',axiom, 20.11/3.27 'var$'('fmb_Nat_nat_ZF_set_fun_fun$_1') = 'fmb_Nat_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_homFtor$',type,'homFtor$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'A$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'). 20.11/3.27 tff('function_homFtor$',axiom, 20.11/3.27 'homFtor$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_A$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_category_ext$',type,'category_ext$': ('A_set$' * 'B_set$' * 'B_a_fun$' * 'B_a_fun$' * 'A_b_fun$' * 'B_b_b_fun_fun$' * 'B_c_LSCategory_ext$') > 'A_b_b_c_LSCategory_ext_Category_ext$'). 20.11/3.27 tff('function_category_ext$',axiom, 20.11/3.27 'category_ext$'('fmb_A_set$_1','fmb_B_set$_1','fmb_B_a_fun$_1','fmb_B_a_fun$_1','fmb_A_b_fun$_1','fmb_B_b_b_fun_fun$_1','fmb_B_c_LSCategory_ext$_1') = 'fmb_A_b_b_c_LSCategory_ext_Category_ext$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uxk$',type,'uxk$': ('ZF_bool_fun$' * 'ZF_ZF_bool_fun_fun$') > 'ZF_ZF_bool_fun_fun$'). 20.11/3.27 tff('function_uxk$',axiom, 20.11/3.27 'uxk$'('fmb_ZF_bool_fun$_1','fmb_ZF_ZF_bool_fun_fun$_1') = 'fmb_ZF_ZF_bool_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_vau$',type,'vau$': ('ZF_ZF_ZF_set_fun_fun$') > 'ZF_ZF_set_fun$'). 20.11/3.27 tff('function_vau$',axiom, 20.11/3.27 'vau$'('fmb_ZF_ZF_ZF_set_fun_fun$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$bm',type,'fun_app$bm': ('A_a_fun$' * 'A$') > 'A$'). 20.11/3.27 tff('function_fun_app$bm',axiom, 20.11/3.27 'fun_app$bm'('fmb_A_a_fun$_1','fmb_A$_1') = 'fmb_A$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uxm$',type,'uxm$': ('ZF_ZF_set_fun$' * 'ZF_ZF_prod_ZF_fun$') > 'ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$'). 20.11/3.27 tff('function_uxm$',axiom, 20.11/3.27 'uxm$'('fmb_ZF_ZF_set_fun$_1','fmb_ZF_ZF_prod_ZF_fun$_1') = 'fmb_ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_vaf$',type,'vaf$': ('ZF_set_set_set$') > 'ZF_set_bool_fun$'). 20.11/3.27 tff('function_vaf$',axiom, 20.11/3.27 'vaf$'('fmb_ZF_set_set_set$_1') = 'fmb_ZF_set_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_collect$b',type,'collect$b': ('B_b_prod_bool_fun$') > 'B_b_prod_set$'). 20.11/3.27 tff('function_collect$b',axiom, 20.11/3.27 'collect$b'('fmb_B_b_prod_bool_fun$_1') = 'fmb_B_b_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uvz$',type,'uvz$': ('B_ZF_fun$' * 'B_set$' * 'ZF_bool_fun$') > 'ZF_bool_fun$'). 20.11/3.27 tff('function_uvz$',axiom, 20.11/3.27 'uvz$'('fmb_B_ZF_fun$_1','fmb_B_set$_1','fmb_ZF_bool_fun$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_cod$',type,'cod$': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'B_a_fun$'). 20.11/3.27 tff('function_cod$',axiom, 20.11/3.27 'cod$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_B_a_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_collect$d',type,'collect$d': ('B_ZF_fun_bool_fun$') > 'B_ZF_fun_set$'). 20.11/3.27 tff('function_collect$d',axiom, 20.11/3.27 'collect$d'('fmb_B_ZF_fun_bool_fun$_1') = 'fmb_B_ZF_fun_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$cy',type,'fun_app$cy': ('ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun$' * 'ZF_ZF_prod_set_set$') > 'ZF_ZF_prod_set$'). 20.11/3.27 tff('function_fun_app$cy',axiom, 20.11/3.27 'fun_app$cy'('fmb_ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun$_1','fmb_ZF_ZF_prod_set_set$_1') = 'fmb_ZF_ZF_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_case_prod$e',type,'case_prod$e': ('ZF_nat_ZF_set_ZF_set_prod_fun_fun$') > 'ZF_nat_prod_ZF_set_ZF_set_prod_fun$'). 20.11/3.27 tff('function_case_prod$e',axiom, 20.11/3.27 'case_prod$e'('fmb_ZF_nat_ZF_set_ZF_set_prod_fun_fun$_1') = 'fmb_ZF_nat_prod_ZF_set_ZF_set_prod_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_sigma$a',type,'sigma$a': ('ZF_set_set$' * 'ZF_set_ZF_set_set_fun$') > 'ZF_set_ZF_set_prod_set$'). 20.11/3.27 tff('function_sigma$a',axiom, 20.11/3.27 'sigma$a'('fmb_ZF_set_set$_1','fmb_ZF_set_ZF_set_set_fun$_1') = 'fmb_ZF_set_ZF_set_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uxg$',type,'uxg$': ('ZF_bool_fun$' * 'ZF_bool_fun$') > 'ZF_ZF_bool_fun_fun$'). 20.11/3.27 tff('function_uxg$',axiom, 20.11/3.27 'uxg$'('fmb_ZF_bool_fun$_1','fmb_ZF_bool_fun$_1') = 'fmb_ZF_ZF_bool_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_collect$c',type,'collect$c': ('ZF_ZF_fun_bool_fun$') > 'ZF_ZF_fun_set$'). 20.11/3.27 tff('function_collect$c',axiom, 20.11/3.27 'collect$c'('fmb_ZF_ZF_fun_bool_fun$_1') = 'fmb_ZF_ZF_fun_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uxp$',type,'uxp$': ('ZF_ZF_set_fun$' * 'Nat_ZF_set_fun$') > 'ZF_nat_ZF_set_ZF_set_prod_fun_fun$'). 20.11/3.27 tff('function_uxp$',axiom, 20.11/3.27 'uxp$'('fmb_ZF_ZF_set_fun$_1','fmb_Nat_ZF_set_fun$_1') = 'fmb_ZF_nat_ZF_set_ZF_set_prod_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_relImage$a',type,'relImage$a': ('Nat_nat_prod_set$' * 'Nat_ZF_set_fun$') > 'ZF_set_ZF_set_prod_set$'). 20.11/3.27 tff('function_relImage$a',axiom, 20.11/3.27 'relImage$a'('fmb_Nat_nat_prod_set$_1','fmb_Nat_ZF_set_fun$_1') = 'fmb_ZF_set_ZF_set_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_sigma$h',type,'sigma$h': ('ZF_set$' * 'ZF_ZF_set_set_fun$') > 'ZF_ZF_set_prod_set$'). 20.11/3.27 tff('function_sigma$h',axiom, 20.11/3.27 'sigma$h'('fmb_ZF_set$_1','fmb_ZF_ZF_set_set_fun$_1') = 'fmb_ZF_ZF_set_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_mapM$',type,'mapM$': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$') > 'B_ZF_fun$'). 20.11/3.27 tff('function_mapM$',axiom, 20.11/3.27 'mapM$'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1') = 'fmb_B_ZF_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_obj$',type,'obj$': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'A_set$'). 20.11/3.27 tff('function_obj$',axiom, 20.11/3.27 'obj$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_A_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_inverse$',type,'inverse$': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'B_b_fun$'). 20.11/3.27 tff('function_inverse$',axiom, 20.11/3.27 'inverse$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_B_b_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uxq$',type,'uxq$': ('Nat_set$') > 'ZF_nat_set_fun$'). 20.11/3.27 tff('function_uxq$',axiom, 20.11/3.27 'uxq$'('fmb_Nat_set$_1') = 'fmb_ZF_nat_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uxo$',type,'uxo$': ('ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_set$') > 'ZF_set_ZF_set_fun$'). 20.11/3.27 tff('function_uxo$',axiom, 20.11/3.27 'uxo$'('fmb_ZF_ZF_prod_ZF_fun$_1','fmb_ZF_ZF_prod_set$_1') = 'fmb_ZF_set_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uvv$',type,'uvv$': ('ZF_b_fun$' * 'ZF_set$' * 'B_bool_fun$') > 'B_bool_fun$'). 20.11/3.27 tff('function_uvv$',axiom, 20.11/3.27 'uvv$'('fmb_ZF_b_fun$_1','fmb_ZF_set$_1','fmb_B_bool_fun$_1') = 'fmb_B_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$bc',type,'fun_app$bc': ('ZF_nat_set_fun$' * 'ZF$') > 'Nat_set$'). 20.11/3.27 tff('function_fun_app$bc',axiom, 20.11/3.27 'fun_app$bc'('fmb_ZF_nat_set_fun$_1','fmb_ZF$_1') = 'fmb_Nat_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_collect$j',type,'collect$j': ('ZF_set_bool_fun$') > 'ZF_set_set$'). 20.11/3.27 tff('function_collect$j',axiom, 20.11/3.27 'collect$j'('fmb_ZF_set_bool_fun$_1') = 'fmb_ZF_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uud$',type,'uud$': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'B_b_b_fun_fun$'). 20.11/3.27 tff('function_uud$',axiom, 20.11/3.27 'uud$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_B_b_b_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$cd',type,'fun_app$cd': ('Nat_ZF_ZF_set_ZF_set_prod_fun_fun$' * 'Nat$') > 'ZF_ZF_set_ZF_set_prod_fun$'). 20.11/3.27 tff('function_fun_app$cd',axiom, 20.11/3.27 'fun_app$cd'('fmb_Nat_ZF_ZF_set_ZF_set_prod_fun_fun$_1','fmb_Nat$_1') = 'fmb_ZF_ZF_set_ZF_set_prod_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$cc',type,'fun_app$cc': ('Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$' * 'Nat$') > 'ZF_ZF_prod_ZF_set_ZF_prod_fun$'). 20.11/3.27 tff('function_fun_app$cc',axiom, 20.11/3.27 'fun_app$cc'('fmb_Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$_1','fmb_Nat$_1') = 'fmb_ZF_ZF_prod_ZF_set_ZF_prod_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uzu$',type,'uzu$': ('ZF_ZF_set_fun$' * 'ZF_ZF_set_fun$') > 'ZF_ZF_ZF_ZF_prod_set_fun_fun$'). 20.11/3.27 tff('function_uzu$',axiom, 20.11/3.27 'uzu$'('fmb_ZF_ZF_set_fun$_1','fmb_ZF_ZF_set_fun$_1') = 'fmb_ZF_ZF_ZF_ZF_prod_set_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_vam$',type,'vam$': ('ZF_nat_ZF_set_fun_fun$' * 'Nat_ZF_fun$') > 'Nat_ZF_set_fun$'). 20.11/3.27 tff('function_vam$',axiom, 20.11/3.27 'vam$'('fmb_ZF_nat_ZF_set_fun_fun$_1','fmb_Nat_ZF_fun$_1') = 'fmb_Nat_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uvc$',type,'uvc$': ('ZF_set_ZF_set_fun$' * 'ZF_ZF_set_fun$') > 'ZF_ZF_set_fun$'). 20.11/3.27 tff('function_uvc$',axiom, 20.11/3.27 'uvc$'('fmb_ZF_set_ZF_set_fun$_1','fmb_ZF_ZF_set_fun$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$ad',type,'fun_app$ad': ('ZF_ZF_ZF_set_fun_fun$' * 'ZF$') > 'ZF_ZF_set_fun$'). 20.11/3.27 tff('function_fun_app$ad',axiom, 20.11/3.27 'fun_app$ad'('fmb_ZF_ZF_ZF_set_fun_fun$_1','fmb_ZF$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_constFunctor$e',type,'constFunctor$e': ('ZF_ZF_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'). 20.11/3.27 tff('function_constFunctor$e',axiom, 20.11/3.27 'constFunctor$e'('fmb_ZF_ZF_unit_Category_ext$_1','fmb_ZF_ZF_unit_Category_ext$_1','fmb_ZF$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$be',type,'fun_app$be': ('ZF_set_ZF_fun$' * 'ZF_set$') > 'ZF$'). 20.11/3.27 tff('function_fun_app$be',axiom, 20.11/3.27 'fun_app$be'('fmb_ZF_set_ZF_fun$_1','fmb_ZF_set$_1') = 'fmb_ZF$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uza$',type,'uza$': ('ZF_nat_ZF_set_fun_fun$' * 'ZF_set$') > 'Nat_ZF_set_fun$'). 20.11/3.27 tff('function_uza$',axiom, 20.11/3.27 'uza$'('fmb_ZF_nat_ZF_set_fun_fun$_1','fmb_ZF_set$_1') = 'fmb_Nat_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_mapsTo$a',type,'mapsTo$a': ('ZF_ZF_unit_Category_ext$' * 'ZF$') > 'ZF_ZF_bool_fun_fun$'). 20.11/3.27 tff('function_mapsTo$a',axiom, 20.11/3.27 'mapsTo$a'('fmb_ZF_ZF_unit_Category_ext$_1','fmb_ZF$_1') = 'fmb_ZF_ZF_bool_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$aq',type,'image$aq': ('A_ZF_set_fun$' * 'A_set$') > 'ZF_set_set$'). 20.11/3.27 tff('function_image$aq',axiom, 20.11/3.27 'image$aq'('fmb_A_ZF_set_fun$_1','fmb_A_set$_1') = 'fmb_ZF_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$bd',type,'fun_app$bd': ('Nat_nat_set_fun$' * 'Nat$') > 'Nat_set$'). 20.11/3.27 tff('function_fun_app$bd',axiom, 20.11/3.27 'fun_app$bd'('fmb_Nat_nat_set_fun$_1','fmb_Nat$_1') = 'fmb_Nat_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$bp',type,'fun_app$bp': ('ZF_nat_ZF_ZF_prod_set_fun_fun$' * 'ZF$') > 'Nat_ZF_ZF_prod_set_fun$'). 20.11/3.27 tff('function_fun_app$bp',axiom, 20.11/3.27 'fun_app$bp'('fmb_ZF_nat_ZF_ZF_prod_set_fun_fun$_1','fmb_ZF$_1') = 'fmb_Nat_ZF_ZF_prod_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uvp$',type,'uvp$': ('A_b_fun$' * 'A_set$' * 'B_bool_fun$') > 'B_bool_fun$'). 20.11/3.27 tff('function_uvp$',axiom, 20.11/3.27 'uvp$'('fmb_A_b_fun$_1','fmb_A_set$_1','fmb_B_bool_fun$_1') = 'fmb_B_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$bi',type,'fun_app$bi': ('ZF_a_fun$' * 'ZF$') > 'A$'). 20.11/3.27 tff('function_fun_app$bi',axiom, 20.11/3.27 'fun_app$bi'('fmb_ZF_a_fun$_1','fmb_ZF$_1') = 'fmb_A$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$al',type,'image$al': ('A_b_set_fun$' * 'A_set$') > 'B_set_set$'). 20.11/3.27 tff('function_image$al',axiom, 20.11/3.27 'image$al'('fmb_A_b_set_fun$_1','fmb_A_set$_1') = 'fmb_B_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_case_prod$f',type,'case_prod$f': ('ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun$') > 'ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun$'). 20.11/3.27 tff('function_case_prod$f',axiom, 20.11/3.27 'case_prod$f'('fmb_ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun$_1') = 'fmb_ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_sup$g',type,'sup$g': ('A_bool_fun_set$') > 'A_bool_fun$'). 20.11/3.27 tff('function_sup$g',axiom, 20.11/3.27 'sup$g'('fmb_A_bool_fun_set$_1') = 'fmb_A_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_homFtorContra$a',type,'homFtorContra$a': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'A$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'). 20.11/3.27 tff('function_homFtorContra$a',axiom, 20.11/3.27 'homFtorContra$a'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_A$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_homFtorContra$',type,'homFtorContra$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'A$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'). 20.11/3.27 tff('function_homFtorContra$',axiom, 20.11/3.27 'homFtorContra$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_A$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uyz$',type,'uyz$': ('ZF_nat_ZF_set_fun_fun$') > 'Nat_ZF_ZF_set_fun_fun$'). 20.11/3.27 tff('function_uyz$',axiom, 20.11/3.27 'uyz$'('fmb_ZF_nat_ZF_set_fun_fun$_1') = 'fmb_Nat_ZF_ZF_set_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$w',type,'image$w': ('ZF_set_ZF_fun$' * 'ZF_set_set$') > 'ZF_set$'). 20.11/3.27 tff('function_image$w',axiom, 20.11/3.27 'image$w'('fmb_ZF_set_ZF_fun$_1','fmb_ZF_set_set$_1') = 'fmb_ZF_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$u',type,'fun_app$u': ('ZF_set_set_ZF_set_fun$' * 'ZF_set_set$') > 'ZF_set$'). 20.11/3.27 tff('function_fun_app$u',axiom, 20.11/3.27 'fun_app$u'('fmb_ZF_set_set_ZF_set_fun$_1','fmb_ZF_set_set$_1') = 'fmb_ZF_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_inf$a',type,'inf$a': ('A_set_set$') > 'A_set$'). 20.11/3.27 tff('function_inf$a',axiom, 20.11/3.27 'inf$a'('fmb_A_set_set$_1') = 'fmb_A_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$db',type,'fun_app$db': ('Nat_set_set_ZF_set_set_set_fun$' * 'Nat_set_set$') > 'ZF_set_set_set$'). 20.11/3.27 tff('function_fun_app$db',axiom, 20.11/3.27 'fun_app$db'('fmb_Nat_set_set_ZF_set_set_set_fun$_1','fmb_Nat_set_set$_1') = 'fmb_ZF_set_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uzw$',type,'uzw$': ('ZF_ZF_bool_fun_fun$') > 'ZF_ZF_bool_fun_fun$'). 20.11/3.27 tff('function_uzw$',axiom, 20.11/3.27 'uzw$'('fmb_ZF_ZF_bool_fun_fun$_1') = 'fmb_ZF_ZF_bool_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$n',type,'image$n': ('A_ZF_fun$' * 'A_set$') > 'ZF_set$'). 20.11/3.27 tff('function_image$n',axiom, 20.11/3.27 'image$n'('fmb_A_ZF_fun$_1','fmb_A_set$_1') = 'fmb_ZF_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$r',type,'image$r': ('Nat_ZF_fun$' * 'Nat_set$') > 'ZF_set$'). 20.11/3.27 tff('function_image$r',axiom, 20.11/3.27 'image$r'('fmb_Nat_ZF_fun$_1','fmb_Nat_set$_1') = 'fmb_ZF_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$ak',type,'image$ak': ('A_a_set_fun$' * 'A_set$') > 'A_set_set$'). 20.11/3.27 tff('function_image$ak',axiom, 20.11/3.27 'image$ak'('fmb_A_a_set_fun$_1','fmb_A_set$_1') = 'fmb_A_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_compDefined$a',type,'compDefined$a': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'B$') > 'B_bool_fun$'). 20.11/3.27 tff('function_compDefined$a',axiom, 20.11/3.27 'compDefined$a'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_B$_1') = 'fmb_B_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_oppositeCategory$a',type,'oppositeCategory$a': ('ZF_ZF_unit_Category_ext$') > 'ZF_ZF_unit_Category_ext$'). 20.11/3.27 tff('function_oppositeCategory$a',axiom, 20.11/3.27 'oppositeCategory$a'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_unit_Category_ext$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_the$',type,'the$': ('ZF_bool_fun$') > 'ZF$'). 20.11/3.27 tff('function_the$',axiom, 20.11/3.27 'the$'('fmb_ZF_bool_fun$_1') = 'fmb_ZF$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_constFunctor$a',type,'constFunctor$a': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'). 20.11/3.27 tff('function_constFunctor$a',axiom, 20.11/3.27 'constFunctor$a'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_ZF_ZF_unit_Category_ext$_1','fmb_ZF$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$ag',type,'image$ag': ('Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$' * 'Nat_ZF_ZF_prod_prod_set$') > 'ZF_set_ZF_prod_set$'). 20.11/3.27 tff('function_image$ag',axiom, 20.11/3.27 'image$ag'('fmb_Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$_1','fmb_Nat_ZF_ZF_prod_prod_set$_1') = 'fmb_ZF_set_ZF_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uwb$',type,'uwb$': ('ZF_ZF_fun$' * 'ZF_set$' * 'ZF_bool_fun$') > 'ZF_bool_fun$'). 20.11/3.27 tff('function_uwb$',axiom, 20.11/3.27 'uwb$'('fmb_ZF_ZF_fun$_1','fmb_ZF_set$_1','fmb_ZF_bool_fun$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$a',type,'fun_app$a': ('ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun$') > 'ZF_ZF_fun$'). 20.11/3.27 tff('function_fun_app$a',axiom, 20.11/3.27 'fun_app$a'('fmb_ZF_ZF_fun_ZF_ZF_fun_fun$_1','fmb_ZF_ZF_fun$_1') = 'fmb_ZF_ZF_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uvw$',type,'uvw$': ('ZF_b_fun$' * 'ZF_set$' * 'B_bool_fun$') > 'ZF_bool_fun$'). 20.11/3.27 tff('function_uvw$',axiom, 20.11/3.27 'uvw$'('fmb_ZF_b_fun$_1','fmb_ZF_set$_1','fmb_B_bool_fun$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_vap$',type,'vap$': ('Nat_ZF_ZF_set_fun_fun$' * 'ZF_nat_fun$') > 'ZF_ZF_set_fun$'). 20.11/3.27 tff('function_vap$',axiom, 20.11/3.27 'vap$'('fmb_Nat_ZF_ZF_set_fun_fun$_1','fmb_ZF_nat_fun$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$as',type,'fun_app$as': ('ZF_b_fun$' * 'ZF$') > 'B$'). 20.11/3.27 tff('function_fun_app$as',axiom, 20.11/3.27 'fun_app$as'('fmb_ZF_b_fun$_1','fmb_ZF$_1') = 'fmb_B$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uzf$',type,'uzf$': ('Nat_nat_ZF_set_fun_fun$') > 'Nat_nat_ZF_set_fun_fun$'). 20.11/3.27 tff('function_uzf$',axiom, 20.11/3.27 'uzf$'('fmb_Nat_nat_ZF_set_fun_fun$_1') = 'fmb_Nat_nat_ZF_set_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$ad',type,'image$ad': ('ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun$' * 'ZF_ZF_prod_ZF_prod_set$') > 'ZF_ZF_set_prod_set$'). 20.11/3.27 tff('function_image$ad',axiom, 20.11/3.27 'image$ad'('fmb_ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun$_1','fmb_ZF_ZF_prod_ZF_prod_set$_1') = 'fmb_ZF_ZF_set_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uxv$',type,'uxv$': ('Nat_set$') > 'ZF_ZF_prod_nat_set_fun$'). 20.11/3.27 tff('function_uxv$',axiom, 20.11/3.27 'uxv$'('fmb_Nat_set$_1') = 'fmb_ZF_ZF_prod_nat_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$af',type,'fun_app$af': ('Nat_set_ZF_set_fun$' * 'Nat_set$') > 'ZF_set$'). 20.11/3.27 tff('function_fun_app$af',axiom, 20.11/3.27 'fun_app$af'('fmb_Nat_set_ZF_set_fun$_1','fmb_Nat_set$_1') = 'fmb_ZF_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$g',type,'image$g': ('ZF_ZF_fun$') > 'ZF_set_ZF_set_fun$'). 20.11/3.27 tff('function_image$g',axiom, 20.11/3.27 'image$g'('fmb_ZF_ZF_fun$_1') = 'fmb_ZF_set_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_rec_set_bool$',type,'rec_set_bool$': ('ZF$' * 'ZF$' * tlbool) > 'ZF_bool_fun$'). 20.11/3.27 tff('function_rec_set_bool$',axiom, 20.11/3.27 'rec_set_bool$'('fmb_ZF$_1','fmb_ZF$_1',fmb_tlbool_1) = 'fmb_ZF_bool_fun$_1' 20.11/3.27 & 'rec_set_bool$'('fmb_ZF$_1','fmb_ZF$_1',fmb_tlbool_2) = 'fmb_ZF_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$bh',type,'fun_app$bh': ('A_set_a_set_fun$' * 'A_set$') > 'A_set$'). 20.11/3.27 tff('function_fun_app$bh',axiom, 20.11/3.27 'fun_app$bh'('fmb_A_set_a_set_fun$_1','fmb_A_set$_1') = 'fmb_A_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_vag$',type,'vag$': ('ZF_set_set$') > 'ZF_bool_fun$'). 20.11/3.27 tff('function_vag$',axiom, 20.11/3.27 'vag$'('fmb_ZF_set_set$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uxr$',type,'uxr$': ('ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_set_fun$') > 'ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun$'). 20.11/3.27 tff('function_uxr$',axiom, 20.11/3.27 'uxr$'('fmb_ZF_ZF_prod_ZF_fun$_1','fmb_ZF_ZF_set_fun$_1') = 'fmb_ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$br',type,'fun_app$br': ('ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun$' * 'ZF_ZF_prod$') > 'ZF_ZF_prod_ZF_ZF_prod_fun$'). 20.11/3.27 tff('function_fun_app$br',axiom, 20.11/3.27 'fun_app$br'('fmb_ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun$_1','fmb_ZF_ZF_prod$_1') = 'fmb_ZF_ZF_prod_ZF_ZF_prod_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$bx',type,'fun_app$bx': ('ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$' * 'ZF$') > 'ZF_ZF_prod_ZF_set_ZF_prod_fun$'). 20.11/3.27 tff('function_fun_app$bx',axiom, 20.11/3.27 'fun_app$bx'('fmb_ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$_1','fmb_ZF$_1') = 'fmb_ZF_ZF_prod_ZF_set_ZF_prod_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_case_prod$m',type,'case_prod$m': ('ZF_nat_ZF_ZF_prod_set_fun_fun$') > 'ZF_nat_prod_ZF_ZF_prod_set_fun$'). 20.11/3.27 tff('function_case_prod$m',axiom, 20.11/3.27 'case_prod$m'('fmb_ZF_nat_ZF_ZF_prod_set_fun_fun$_1') = 'fmb_ZF_nat_prod_ZF_ZF_prod_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_case_prod$c',type,'case_prod$c': ('ZF_ZF_ZF_ZF_prod_fun_fun$') > 'ZF_ZF_prod_ZF_ZF_prod_fun$'). 20.11/3.27 tff('function_case_prod$c',axiom, 20.11/3.27 'case_prod$c'('fmb_ZF_ZF_ZF_ZF_prod_fun_fun$_1') = 'fmb_ZF_ZF_prod_ZF_ZF_prod_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_gr$c',type,'gr$c': ('ZF_set$' * 'ZF_ZF_fun$') > 'ZF_ZF_prod_set$'). 20.11/3.27 tff('function_gr$c',axiom, 20.11/3.27 'gr$c'('fmb_ZF_set$_1','fmb_ZF_ZF_fun$_1') = 'fmb_ZF_ZF_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uvm$',type,'uvm$': ('A_a_fun$' * 'A_set$' * 'A_bool_fun$') > 'A_bool_fun$'). 20.11/3.27 tff('function_uvm$',axiom, 20.11/3.27 'uvm$'('fmb_A_a_fun$_1','fmb_A_set$_1','fmb_A_bool_fun$_1') = 'fmb_A_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uvf$',type,'uvf$': ('ZF_ZF_set_fun$' * 'ZF_ZF_fun$') > 'ZF_ZF_set_fun$'). 20.11/3.27 tff('function_uvf$',axiom, 20.11/3.27 'uvf$'('fmb_ZF_ZF_set_fun$_1','fmb_ZF_ZF_fun$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_vaq$',type,'vaq$': ('Nat_ZF_ZF_set_fun_fun$') > 'ZF_nat_fun_ZF_set_fun$'). 20.11/3.27 tff('function_vaq$',axiom, 20.11/3.27 'vaq$'('fmb_Nat_ZF_ZF_set_fun_fun$_1') = 'fmb_ZF_nat_fun_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uwn$',type,'uwn$': ('B_ZF_fun$' * 'B_set$') > 'ZF_bool_fun$'). 20.11/3.27 tff('function_uwn$',axiom, 20.11/3.27 'uwn$'('fmb_B_ZF_fun$_1','fmb_B_set$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_identityFunctor$',type,'identityFunctor$': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'). 20.11/3.27 tff('function_identityFunctor$',axiom, 20.11/3.27 'identityFunctor$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$i',type,'image$i': ('ZF_a_fun$' * 'ZF_set$') > 'A_set$'). 20.11/3.27 tff('function_image$i',axiom, 20.11/3.27 'image$i'('fmb_ZF_a_fun$_1','fmb_ZF_set$_1') = 'fmb_A_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_lSCategory_ext$',type,'lSCategory_ext$': ('B_ZF_fun$' * 'C$') > 'B_c_LSCategory_ext$'). 20.11/3.27 tff('function_lSCategory_ext$',axiom, 20.11/3.27 'lSCategory_ext$'('fmb_B_ZF_fun$_1','fmb_C$_1') = 'fmb_B_c_LSCategory_ext$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_identityFunctor$a',type,'identityFunctor$a': ('ZF_ZF_unit_Category_ext$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'). 20.11/3.27 tff('function_identityFunctor$a',axiom, 20.11/3.27 'identityFunctor$a'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$ar',type,'fun_app$ar': ('B_ZF_fun$' * 'B$') > 'ZF$'). 20.11/3.27 tff('function_fun_app$ar',axiom, 20.11/3.27 'fun_app$ar'('fmb_B_ZF_fun$_1','fmb_B$_1') = 'fmb_ZF$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_restrict$b',type,'restrict$b': ('B_a_fun$' * 'B_set$') > 'B_a_fun$'). 20.11/3.27 tff('function_restrict$b',axiom, 20.11/3.27 'restrict$b'('fmb_B_a_fun$_1','fmb_B_set$_1') = 'fmb_B_a_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$d',type,'fun_app$d': ('ZF_ZF_ZF_prod_fun$' * 'ZF$') > 'ZF_ZF_prod$'). 20.11/3.27 tff('function_fun_app$d',axiom, 20.11/3.27 'fun_app$d'('fmb_ZF_ZF_ZF_prod_fun$_1','fmb_ZF$_1') = 'fmb_ZF_ZF_prod$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$cp',type,'fun_app$cp': ('Nat_a_fun$' * 'Nat$') > 'A$'). 20.11/3.27 tff('function_fun_app$cp',axiom, 20.11/3.27 'fun_app$cp'('fmb_Nat_a_fun$_1','fmb_Nat$_1') = 'fmb_A$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uyw$',type,'uyw$': ('ZF_ZF_ZF_set_fun_fun$') > 'ZF_ZF_ZF_set_fun_fun$'). 20.11/3.27 tff('function_uyw$',axiom, 20.11/3.27 'uyw$'('fmb_ZF_ZF_ZF_set_fun_fun$_1') = 'fmb_ZF_ZF_ZF_set_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$c',type,'image$c': ('ZF_set_set_bool_fun$' * 'ZF_set_set_set$') > 'Bool_set$'). 20.11/3.27 tff('function_image$c',axiom, 20.11/3.27 'image$c'('fmb_ZF_set_set_bool_fun$_1','fmb_ZF_set_set_set$_1') = 'fmb_Bool_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_inverse_rel$a',type,'inverse_rel$a': ('ZF_ZF_unit_Category_ext$') > 'ZF_ZF_bool_fun_fun$'). 20.11/3.27 tff('function_inverse_rel$a',axiom, 20.11/3.27 'inverse_rel$a'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_bool_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$x',type,'image$x': ('Nat_a_fun$' * 'Nat_set$') > 'A_set$'). 20.11/3.27 tff('function_image$x',axiom, 20.11/3.27 'image$x'('fmb_Nat_a_fun$_1','fmb_Nat_set$_1') = 'fmb_A_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_case_prod$d',type,'case_prod$d': ('ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$') > 'ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$'). 20.11/3.27 tff('function_case_prod$d',axiom, 20.11/3.27 'case_prod$d'('fmb_ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$_1') = 'fmb_ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_case_prod$g',type,'case_prod$g': ('ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun$') > 'ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun$'). 20.11/3.27 tff('function_case_prod$g',axiom, 20.11/3.27 'case_prod$g'('fmb_ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun$_1') = 'fmb_ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uvy$',type,'uvy$': ('A_ZF_fun$' * 'A_set$' * 'ZF_bool_fun$') > 'A_bool_fun$'). 20.11/3.27 tff('function_uvy$',axiom, 20.11/3.27 'uvy$'('fmb_A_ZF_fun$_1','fmb_A_set$_1','fmb_ZF_bool_fun$_1') = 'fmb_A_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$ab',type,'fun_app$ab': ('ZF_nat_ZF_set_fun_fun$' * 'ZF$') > 'Nat_ZF_set_fun$'). 20.11/3.27 tff('function_fun_app$ab',axiom, 20.11/3.27 'fun_app$ab'('fmb_ZF_nat_ZF_set_fun_fun$_1','fmb_ZF$_1') = 'fmb_Nat_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_vai$',type,'vai$': ('ZF_ZF_ZF_set_fun_fun$') > 'ZF_ZF_set_fun$'). 20.11/3.27 tff('function_vai$',axiom, 20.11/3.27 'vai$'('fmb_ZF_ZF_ZF_set_fun_fun$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_van$',type,'van$': ('ZF_nat_ZF_set_fun_fun$') > 'Nat_ZF_fun_ZF_set_fun$'). 20.11/3.27 tff('function_van$',axiom, 20.11/3.27 'van$'('fmb_ZF_nat_ZF_set_fun_fun$_1') = 'fmb_Nat_ZF_fun_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uvq$',type,'uvq$': ('A_b_fun$' * 'A_set$' * 'B_bool_fun$') > 'A_bool_fun$'). 20.11/3.27 tff('function_uvq$',axiom, 20.11/3.27 'uvq$'('fmb_A_b_fun$_1','fmb_A_set$_1','fmb_B_bool_fun$_1') = 'fmb_A_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uxu$',type,'uxu$': ('ZF_ZF_prod_ZF_fun$' * 'Nat_ZF_set_fun$') > 'ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun$'). 20.11/3.27 tff('function_uxu$',axiom, 20.11/3.27 'uxu$'('fmb_ZF_ZF_prod_ZF_fun$_1','fmb_Nat_ZF_set_fun$_1') = 'fmb_ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_member$',type,'member$': ('ZF$') > 'ZF_set_bool_fun$'). 20.11/3.27 tff('function_member$',axiom, 20.11/3.27 'member$'('fmb_ZF$_1') = 'fmb_ZF_set_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_vat$',type,'vat$': ('Nat_nat_ZF_set_fun_fun$') > 'Nat_nat_fun_ZF_set_fun$'). 20.11/3.27 tff('function_vat$',axiom, 20.11/3.27 'vat$'('fmb_Nat_nat_ZF_set_fun_fun$_1') = 'fmb_Nat_nat_fun_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$cu',type,'fun_app$cu': ('B_b_set_fun$' * 'B$') > 'B_set$'). 20.11/3.27 tff('function_fun_app$cu',axiom, 20.11/3.27 'fun_app$cu'('fmb_B_b_set_fun$_1','fmb_B$_1') = 'fmb_B_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uwe$',type,'uwe$': ('ZF_set_a_fun$' * 'ZF_set_set$' * 'A_bool_fun$') > 'ZF_set_bool_fun$'). 20.11/3.27 tff('function_uwe$',axiom, 20.11/3.27 'uwe$'('fmb_ZF_set_a_fun$_1','fmb_ZF_set_set$_1','fmb_A_bool_fun$_1') = 'fmb_ZF_set_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uum$',type,'uum$': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'B_b_b_fun_fun$'). 20.11/3.27 tff('function_uum$',axiom, 20.11/3.27 'uum$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_B_b_b_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uyx$',type,'uyx$': ('ZF_ZF_ZF_set_fun_fun$' * 'ZF_set$') > 'ZF_ZF_set_fun$'). 20.11/3.27 tff('function_uyx$',axiom, 20.11/3.27 'uyx$'('fmb_ZF_ZF_ZF_set_fun_fun$_1','fmb_ZF_set$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$b',type,'image$b': ('ZF_set_bool_fun$' * 'ZF_set_set$') > 'Bool_set$'). 20.11/3.27 tff('function_image$b',axiom, 20.11/3.27 'image$b'('fmb_ZF_set_bool_fun$_1','fmb_ZF_set_set$_1') = 'fmb_Bool_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uwo$',type,'uwo$': ('ZF_ZF_fun$' * 'ZF_set$') > 'ZF_bool_fun$'). 20.11/3.27 tff('function_uwo$',axiom, 20.11/3.27 'uwo$'('fmb_ZF_ZF_fun$_1','fmb_ZF_set$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uya$',type,'uya$': ('ZF_ZF_prod_set$') > 'Nat_ZF_ZF_prod_set_fun$'). 20.11/3.27 tff('function_uya$',axiom, 20.11/3.27 'uya$'('fmb_ZF_ZF_prod_set$_1') = 'fmb_Nat_ZF_ZF_prod_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_collect$f',type,'collect$f': ('A_b_fun_bool_fun$') > 'A_b_fun_set$'). 20.11/3.27 tff('function_collect$f',axiom, 20.11/3.27 'collect$f'('fmb_A_b_fun_bool_fun$_1') = 'fmb_A_b_fun_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_relInvImage$a',type,'relInvImage$a': ('Nat_set$' * 'ZF_set_ZF_set_prod_set$' * 'Nat_ZF_set_fun$') > 'Nat_nat_prod_set$'). 20.11/3.27 tff('function_relInvImage$a',axiom, 20.11/3.27 'relInvImage$a'('fmb_Nat_set$_1','fmb_ZF_set_ZF_set_prod_set$_1','fmb_Nat_ZF_set_fun$_1') = 'fmb_Nat_nat_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uxs$',type,'uxs$': ('ZF_set$') > 'ZF_ZF_prod_ZF_set_fun$'). 20.11/3.27 tff('function_uxs$',axiom, 20.11/3.27 'uxs$'('fmb_ZF_set$_1') = 'fmb_ZF_ZF_prod_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_hOMCollection$',type,'hOMCollection$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'A$') > 'A_ZF_set_fun$'). 20.11/3.27 tff('function_hOMCollection$',axiom, 20.11/3.27 'hOMCollection$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_A$_1') = 'fmb_A_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$y',type,'image$y': ('Nat_b_fun$' * 'Nat_set$') > 'B_set$'). 20.11/3.27 tff('function_image$y',axiom, 20.11/3.27 'image$y'('fmb_Nat_b_fun$_1','fmb_Nat_set$_1') = 'fmb_B_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_case_prod$h',type,'case_prod$h': ('Nat_ZF_ZF_set_ZF_set_prod_fun_fun$') > 'Nat_ZF_prod_ZF_set_ZF_set_prod_fun$'). 20.11/3.27 tff('function_case_prod$h',axiom, 20.11/3.27 'case_prod$h'('fmb_Nat_ZF_ZF_set_ZF_set_prod_fun_fun$_1') = 'fmb_Nat_ZF_prod_ZF_set_ZF_set_prod_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$ab',type,'image$ab': ('ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$' * 'ZF_ZF_ZF_prod_prod_set$') > 'ZF_set_ZF_prod_set$'). 20.11/3.27 tff('function_image$ab',axiom, 20.11/3.27 'image$ab'('fmb_ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$_1','fmb_ZF_ZF_ZF_prod_prod_set$_1') = 'fmb_ZF_set_ZF_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$s',type,'fun_app$s': ('ZF_ZF_set_fun$' * 'ZF$') > 'ZF_set$'). 20.11/3.27 tff('function_fun_app$s',axiom, 20.11/3.27 'fun_app$s'('fmb_ZF_ZF_set_fun$_1','fmb_ZF$_1') = 'fmb_ZF_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_vaa$',type,'vaa$': ('ZF_nat_bool_fun_fun$') > 'Nat_ZF_set_fun$'). 20.11/3.27 tff('function_vaa$',axiom, 20.11/3.27 'vaa$'('fmb_ZF_nat_bool_fun_fun$_1') = 'fmb_Nat_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uyi$',type,'uyi$': ('ZF_set_set$') > 'ZF_ZF_set_set_fun$'). 20.11/3.27 tff('function_uyi$',axiom, 20.11/3.27 'uyi$'('fmb_ZF_set_set$_1') = 'fmb_ZF_ZF_set_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$cq',type,'fun_app$cq': ('Nat_b_fun$' * 'Nat$') > 'B$'). 20.11/3.27 tff('function_fun_app$cq',axiom, 20.11/3.27 'fun_app$cq'('fmb_Nat_b_fun$_1','fmb_Nat$_1') = 'fmb_B$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$ae',type,'fun_app$ae': ('ZF_set_ZF_set_fun$' * 'ZF_set$') > 'ZF_set$'). 20.11/3.27 tff('function_fun_app$ae',axiom, 20.11/3.27 'fun_app$ae'('fmb_ZF_set_ZF_set_fun$_1','fmb_ZF_set$_1') = 'fmb_ZF_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_inverse$a',type,'inverse$a': ('ZF_ZF_unit_Category_ext$') > 'ZF_ZF_fun$'). 20.11/3.27 tff('function_inverse$a',axiom, 20.11/3.27 'inverse$a'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_mapO$',type,'mapO$': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$') > 'A_ZF_fun$'). 20.11/3.27 tff('function_mapO$',axiom, 20.11/3.27 'mapO$'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1') = 'fmb_A_ZF_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$y',type,'fun_app$y': ('Nat_ZF_fun_ZF_set_fun$' * 'Nat_ZF_fun$') > 'ZF_set$'). 20.11/3.27 tff('function_fun_app$y',axiom, 20.11/3.27 'fun_app$y'('fmb_Nat_ZF_fun_ZF_set_fun$_1','fmb_Nat_ZF_fun$_1') = 'fmb_ZF_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$ap',type,'image$ap': ('ZF_b_set_fun$' * 'ZF_set$') > 'B_set_set$'). 20.11/3.27 tff('function_image$ap',axiom, 20.11/3.27 'image$ap'('fmb_ZF_b_set_fun$_1','fmb_ZF_set$_1') = 'fmb_B_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$bu',type,'fun_app$bu': ('Nat_ZF_ZF_set_prod_fun$' * 'Nat$') > 'ZF_ZF_set_prod$'). 20.11/3.27 tff('function_fun_app$bu',axiom, 20.11/3.27 'fun_app$bu'('fmb_Nat_ZF_ZF_set_prod_fun$_1','fmb_Nat$_1') = 'fmb_ZF_ZF_set_prod$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$bg',type,'fun_app$bg': ('B_set_b_set_fun$' * 'B_set$') > 'B_set$'). 20.11/3.27 tff('function_fun_app$bg',axiom, 20.11/3.27 'fun_app$bg'('fmb_B_set_b_set_fun$_1','fmb_B_set$_1') = 'fmb_B_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$bo',type,'fun_app$bo': ('Nat_ZF_ZF_ZF_prod_set_fun_fun$' * 'Nat$') > 'ZF_ZF_ZF_prod_set_fun$'). 20.11/3.27 tff('function_fun_app$bo',axiom, 20.11/3.27 'fun_app$bo'('fmb_Nat_ZF_ZF_ZF_prod_set_fun_fun$_1','fmb_Nat$_1') = 'fmb_ZF_ZF_ZF_prod_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_category_ext$a',type,'category_ext$a': ('ZF_set$' * 'ZF_set$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' * 'ZF_ZF_ZF_fun_fun$' * 'Unit$') > 'ZF_ZF_unit_Category_ext$'). 20.11/3.27 tff('function_category_ext$a',axiom, 20.11/3.27 'category_ext$a'('fmb_ZF_set$_1','fmb_ZF_set$_1','fmb_ZF_ZF_fun$_1','fmb_ZF_ZF_fun$_1','fmb_ZF_ZF_fun$_1','fmb_ZF_ZF_ZF_fun_fun$_1','fmb_Unit$_1') = 'fmb_ZF_ZF_unit_Category_ext$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uyo$',type,'uyo$': ('ZF_ZF_set_fun$') > 'ZF_set_ZF_ZF_prod_set_fun$'). 20.11/3.27 tff('function_uyo$',axiom, 20.11/3.27 'uyo$'('fmb_ZF_ZF_set_fun$_1') = 'fmb_ZF_set_ZF_ZF_prod_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_homFtorMap$',type,'homFtorMap$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'A$') > 'B_ZF_fun$'). 20.11/3.27 tff('function_homFtorMap$',axiom, 20.11/3.27 'homFtorMap$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_A$_1') = 'fmb_B_ZF_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uzt$',type,'uzt$': ('Nat_ZF_set_fun$' * 'Nat_ZF_set_fun$') > 'Nat_nat_ZF_ZF_prod_set_fun_fun$'). 20.11/3.27 tff('function_uzt$',axiom, 20.11/3.27 'uzt$'('fmb_Nat_ZF_set_fun$_1','fmb_Nat_ZF_set_fun$_1') = 'fmb_Nat_nat_ZF_ZF_prod_set_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uuq$',type,'uuq$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'B$') > 'ZF_ZF_fun$'). 20.11/3.27 tff('function_uuq$',axiom, 20.11/3.27 'uuq$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_B$_1') = 'fmb_ZF_ZF_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$bt',type,'fun_app$bt': ('ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun$' * 'ZF_ZF_prod$') > 'ZF_ZF_ZF_set_prod_fun$'). 20.11/3.27 tff('function_fun_app$bt',axiom, 20.11/3.27 'fun_app$bt'('fmb_ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun$_1','fmb_ZF_ZF_prod$_1') = 'fmb_ZF_ZF_ZF_set_prod_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_extensional$',type,'extensional$': ('B_set$') > 'B_a_fun_set$'). 20.11/3.27 tff('function_extensional$',axiom, 20.11/3.27 'extensional$'('fmb_B_set$_1') = 'fmb_B_a_fun_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$aj',type,'image$aj': ('ZF_ZF_prod_ZF_set_ZF_set_prod_fun$' * 'ZF_ZF_prod_set$') > 'ZF_set_ZF_set_prod_set$'). 20.11/3.27 tff('function_image$aj',axiom, 20.11/3.27 'image$aj'('fmb_ZF_ZF_prod_ZF_set_ZF_set_prod_fun$_1','fmb_ZF_ZF_prod_set$_1') = 'fmb_ZF_set_ZF_set_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$d',type,'image$d': ('B_set_bool_fun$' * 'B_set_set$') > 'Bool_set$'). 20.11/3.27 tff('function_image$d',axiom, 20.11/3.27 'image$d'('fmb_B_set_bool_fun$_1','fmb_B_set_set$_1') = 'fmb_Bool_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$cw',type,'fun_app$cw': ('ZF_b_set_fun$' * 'ZF$') > 'B_set$'). 20.11/3.27 tff('function_fun_app$cw',axiom, 20.11/3.27 'fun_app$cw'('fmb_ZF_b_set_fun$_1','fmb_ZF$_1') = 'fmb_B_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uuo$',type,'uuo$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF$') > 'B_bool_fun$'). 20.11/3.27 tff('function_uuo$',axiom, 20.11/3.27 'uuo$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_ZF$_1') = 'fmb_B_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uuy$',type,'uuy$': ('B_set$' * 'B_bool_fun$') > 'B_bool_fun$'). 20.11/3.27 tff('function_uuy$',axiom, 20.11/3.27 'uuy$'('fmb_B_set$_1','fmb_B_bool_fun$_1') = 'fmb_B_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uyy$',type,'uyy$': ('ZF_nat_ZF_set_fun_fun$' * 'Nat_set$') > 'ZF_ZF_set_fun$'). 20.11/3.27 tff('function_uyy$',axiom, 20.11/3.27 'uyy$'('fmb_ZF_nat_ZF_set_fun_fun$_1','fmb_Nat_set$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_collect$',type,'collect$': ('ZF_bool_fun$') > 'ZF_set$'). 20.11/3.27 tff('function_collect$',axiom, 20.11/3.27 'collect$'('fmb_ZF_bool_fun$_1') = 'fmb_ZF_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$ao',type,'fun_app$ao': ('ZF_nat_fun$' * 'ZF$') > 'Nat$'). 20.11/3.27 tff('function_fun_app$ao',axiom, 20.11/3.27 'fun_app$ao'('fmb_ZF_nat_fun$_1','fmb_ZF$_1') = 'fmb_Nat$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_vae$',type,'vae$': ('B_set_set$') > 'B_bool_fun$'). 20.11/3.27 tff('function_vae$',axiom, 20.11/3.27 'vae$'('fmb_B_set_set$_1') = 'fmb_B_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_member$b',type,'member$b': ('B$') > 'B_set_bool_fun$'). 20.11/3.27 tff('function_member$b',axiom, 20.11/3.27 'member$b'('fmb_B$_1') = 'fmb_B_set_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$ac',type,'fun_app$ac': ('Nat_ZF_ZF_set_fun_fun$' * 'Nat$') > 'ZF_ZF_set_fun$'). 20.11/3.27 tff('function_fun_app$ac',axiom, 20.11/3.27 'fun_app$ac'('fmb_Nat_ZF_ZF_set_fun_fun$_1','fmb_Nat$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_more_update$',type,'more_update$': ('Unit_unit_fun$' * 'ZF_ZF_unit_Category_ext$') > 'ZF_ZF_unit_Category_ext$'). 20.11/3.27 tff('function_more_update$',axiom, 20.11/3.27 'more_update$'('fmb_Unit_unit_fun$_1','fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_unit_Category_ext$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$aa',type,'image$aa': ('Nat_ZF_ZF_prod_fun$' * 'Nat_set$') > 'ZF_ZF_prod_set$'). 20.11/3.27 tff('function_image$aa',axiom, 20.11/3.27 'image$aa'('fmb_Nat_ZF_ZF_prod_fun$_1','fmb_Nat_set$_1') = 'fmb_ZF_ZF_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uzy$',type,'uzy$': ('ZF_nat_bool_fun_fun$') > 'ZF_bool_fun$'). 20.11/3.27 tff('function_uzy$',axiom, 20.11/3.27 'uzy$'('fmb_ZF_nat_bool_fun_fun$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uxw$',type,'uxw$': ('Nat_ZF_set_fun$' * 'Nat_set$') > 'ZF_ZF_set_set_fun$'). 20.11/3.27 tff('function_uxw$',axiom, 20.11/3.27 'uxw$'('fmb_Nat_ZF_set_fun$_1','fmb_Nat_set$_1') = 'fmb_ZF_ZF_set_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_comp$b',type,'comp$b': ('ZF_ZF_fun$') > 'ZF_ZF_fun_ZF_ZF_fun_fun$'). 20.11/3.27 tff('function_comp$b',axiom, 20.11/3.27 'comp$b'('fmb_ZF_ZF_fun$_1') = 'fmb_ZF_ZF_fun_ZF_ZF_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_more$',type,'more$': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'B_c_LSCategory_ext$'). 20.11/3.27 tff('function_more$',axiom, 20.11/3.27 'more$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_B_c_LSCategory_ext$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uwh$',type,'uwh$': ('ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_bool_fun$') > 'ZF_bool_fun$'). 20.11/3.27 tff('function_uwh$',axiom, 20.11/3.27 'uwh$'('fmb_ZF_ZF_prod_ZF_fun$_1','fmb_ZF_ZF_prod_bool_fun$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uyr$',type,'uyr$': ('ZF_ZF_set_fun$' * 'ZF_ZF_set_fun$') > 'ZF_ZF_set_fun$'). 20.11/3.27 tff('function_uyr$',axiom, 20.11/3.27 'uyr$'('fmb_ZF_ZF_set_fun$_1','fmb_ZF_ZF_set_fun$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_restrict$',type,'restrict$': ('ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_set$') > 'ZF_ZF_prod_ZF_fun$'). 20.11/3.27 tff('function_restrict$',axiom, 20.11/3.27 'restrict$'('fmb_ZF_ZF_prod_ZF_fun$_1','fmb_ZF_ZF_prod_set$_1') = 'fmb_ZF_ZF_prod_ZF_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$bi',type,'image$bi': ('B_set_b_bool_fun_fun$' * 'B_set_set$') > 'B_bool_fun_set$'). 20.11/3.27 tff('function_image$bi',axiom, 20.11/3.27 'image$bi'('fmb_B_set_b_bool_fun_fun$_1','fmb_B_set_set$_1') = 'fmb_B_bool_fun_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_more$a',type,'more$a': ('ZF_ZF_unit_Category_ext$') > 'Unit$'). 20.11/3.27 tff('function_more$a',axiom, 20.11/3.27 'more$a'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_Unit$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uvs$',type,'uvs$': ('B_b_fun$' * 'B_set$' * 'B_bool_fun$') > 'B_bool_fun$'). 20.11/3.27 tff('function_uvs$',axiom, 20.11/3.27 'uvs$'('fmb_B_b_fun$_1','fmb_B_set$_1','fmb_B_bool_fun$_1') = 'fmb_B_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_comp$i',type,'comp$i': ('ZF_set_set_ZF_set_fun$' * 'ZF_set_set_ZF_set_set_fun$') > 'ZF_set_set_ZF_set_fun$'). 20.11/3.27 tff('function_comp$i',axiom, 20.11/3.27 'comp$i'('fmb_ZF_set_set_ZF_set_fun$_1','fmb_ZF_set_set_ZF_set_set_fun$_1') = 'fmb_ZF_set_set_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$bn',type,'image$bn': ('ZF_ZF_fun_ZF_set_fun$' * 'ZF_ZF_fun_set$') > 'ZF_set_set$'). 20.11/3.27 tff('function_image$bn',axiom, 20.11/3.27 'image$bn'('fmb_ZF_ZF_fun_ZF_set_fun$_1','fmb_ZF_ZF_fun_set$_1') = 'fmb_ZF_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$cb',type,'fun_app$cb': ('ZF_nat_ZF_set_ZF_set_prod_fun_fun$' * 'ZF$') > 'Nat_ZF_set_ZF_set_prod_fun$'). 20.11/3.27 tff('function_fun_app$cb',axiom, 20.11/3.27 'fun_app$cb'('fmb_ZF_nat_ZF_set_ZF_set_prod_fun_fun$_1','fmb_ZF$_1') = 'fmb_Nat_ZF_set_ZF_set_prod_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$bs',type,'fun_app$bs': ('ZF_ZF_ZF_set_prod_fun$' * 'ZF$') > 'ZF_ZF_set_prod$'). 20.11/3.27 tff('function_fun_app$bs',axiom, 20.11/3.27 'fun_app$bs'('fmb_ZF_ZF_ZF_set_prod_fun$_1','fmb_ZF$_1') = 'fmb_ZF_ZF_set_prod$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_vaj$',type,'vaj$': ('ZF_ZF_ZF_set_fun_fun$' * 'ZF_ZF_fun$') > 'ZF_ZF_set_fun$'). 20.11/3.27 tff('function_vaj$',axiom, 20.11/3.27 'vaj$'('fmb_ZF_ZF_ZF_set_fun_fun$_1','fmb_ZF_ZF_fun$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_restrict$c',type,'restrict$c': ('A_b_fun$' * 'A_set$') > 'A_b_fun$'). 20.11/3.27 tff('function_restrict$c',axiom, 20.11/3.27 'restrict$c'('fmb_A_b_fun$_1','fmb_A_set$_1') = 'fmb_A_b_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_dom$',type,'dom$': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'B_a_fun$'). 20.11/3.27 tff('function_dom$',axiom, 20.11/3.27 'dom$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_B_a_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uzk$',type,'uzk$': ('ZF_ZF_set_fun$' * 'Nat_ZF_set_fun$') > 'Nat_ZF_set_set_fun$'). 20.11/3.27 tff('function_uzk$',axiom, 20.11/3.27 'uzk$'('fmb_ZF_ZF_set_fun$_1','fmb_Nat_ZF_set_fun$_1') = 'fmb_Nat_ZF_set_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_vak$',type,'vak$': ('ZF_ZF_ZF_set_fun_fun$') > 'ZF_ZF_fun_ZF_set_fun$'). 20.11/3.27 tff('function_vak$',axiom, 20.11/3.27 'vak$'('fmb_ZF_ZF_ZF_set_fun_fun$_1') = 'fmb_ZF_ZF_fun_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$o',type,'image$o': ('A_b_fun$' * 'A_set$') > 'B_set$'). 20.11/3.27 tff('function_image$o',axiom, 20.11/3.27 'image$o'('fmb_A_b_fun$_1','fmb_A_set$_1') = 'fmb_B_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$bb',type,'fun_app$bb': ('ZF_ZF_prod_ZF_set_fun$' * 'ZF_ZF_prod$') > 'ZF_set$'). 20.11/3.27 tff('function_fun_app$bb',axiom, 20.11/3.27 'fun_app$bb'('fmb_ZF_ZF_prod_ZF_set_fun$_1','fmb_ZF_ZF_prod$_1') = 'fmb_ZF_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uzr$',type,'uzr$': ('Nat_ZF_set_fun$' * 'ZF_ZF_set_fun$') > 'Nat_ZF_ZF_ZF_prod_set_fun_fun$'). 20.11/3.27 tff('function_uzr$',axiom, 20.11/3.27 'uzr$'('fmb_Nat_ZF_set_fun$_1','fmb_ZF_ZF_set_fun$_1') = 'fmb_Nat_ZF_ZF_ZF_prod_set_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_case_prod$p',type,'case_prod$p': ('ZF_ZF_ZF_ZF_prod_set_fun_fun$') > 'ZF_ZF_prod_ZF_ZF_prod_set_fun$'). 20.11/3.27 tff('function_case_prod$p',axiom, 20.11/3.27 'case_prod$p'('fmb_ZF_ZF_ZF_ZF_prod_set_fun_fun$_1') = 'fmb_ZF_ZF_prod_ZF_ZF_prod_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uwg$',type,'uwg$': ('ZF_ZF_set_fun$' * 'ZF_bool_fun$') > 'ZF_set_bool_fun$'). 20.11/3.27 tff('function_uwg$',axiom, 20.11/3.27 'uwg$'('fmb_ZF_ZF_set_fun$_1','fmb_ZF_bool_fun$_1') = 'fmb_ZF_set_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_case_prod$b',type,'case_prod$b': ('ZF_ZF_bool_fun_fun$') > 'ZF_ZF_prod_bool_fun$'). 20.11/3.27 tff('function_case_prod$b',axiom, 20.11/3.27 'case_prod$b'('fmb_ZF_ZF_bool_fun_fun$_1') = 'fmb_ZF_ZF_prod_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_lambda$',type,'lambda$': ('ZF$' * 'ZF_ZF_fun$') > 'ZF$'). 20.11/3.27 tff('function_lambda$',axiom, 20.11/3.27 'lambda$'('fmb_ZF$_1','fmb_ZF_ZF_fun$_1') = 'fmb_ZF$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uzo$',type,'uzo$': ('ZF_ZF_set_fun$' * 'Nat_ZF_set_fun$') > 'ZF_nat_ZF_ZF_prod_set_fun_fun$'). 20.11/3.27 tff('function_uzo$',axiom, 20.11/3.27 'uzo$'('fmb_ZF_ZF_set_fun$_1','fmb_Nat_ZF_set_fun$_1') = 'fmb_ZF_nat_ZF_ZF_prod_set_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_cod$a',type,'cod$a': ('ZF_ZF_unit_Category_ext$') > 'ZF_ZF_fun$'). 20.11/3.27 tff('function_cod$a',axiom, 20.11/3.27 'cod$a'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uvn$',type,'uvn$': ('B_a_fun$' * 'B_set$' * 'A_bool_fun$') > 'A_bool_fun$'). 20.11/3.27 tff('function_uvn$',axiom, 20.11/3.27 'uvn$'('fmb_B_a_fun$_1','fmb_B_set$_1','fmb_A_bool_fun$_1') = 'fmb_A_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_more$b',type,'more$b': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'C$'). 20.11/3.27 tff('function_more$b',axiom, 20.11/3.27 'more$b'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_C$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$v',type,'fun_app$v': ('Nat_set_ZF_set_set_fun$' * 'Nat_set$') > 'ZF_set_set$'). 20.11/3.27 tff('function_fun_app$v',axiom, 20.11/3.27 'fun_app$v'('fmb_Nat_set_ZF_set_set_fun$_1','fmb_Nat_set$_1') = 'fmb_ZF_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_vad$',type,'vad$': ('A_set_set$') > 'A_bool_fun$'). 20.11/3.27 tff('function_vad$',axiom, 20.11/3.27 'vad$'('fmb_A_set_set$_1') = 'fmb_A_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$cf',type,'fun_app$cf': ('ZF_ZF_prod_ZF_ZF_prod_set_fun$' * 'ZF_ZF_prod$') > 'ZF_ZF_prod_set$'). 20.11/3.27 tff('function_fun_app$cf',axiom, 20.11/3.27 'fun_app$cf'('fmb_ZF_ZF_prod_ZF_ZF_prod_set_fun$_1','fmb_ZF_ZF_prod$_1') = 'fmb_ZF_ZF_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_comp$',type,'comp$': ('ZF_ZF_unit_Category_ext$') > 'ZF_ZF_ZF_fun_fun$'). 20.11/3.27 tff('function_comp$',axiom, 20.11/3.27 'comp$'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_ZF_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$ar',type,'image$ar': ('B_ZF_set_fun$' * 'B_set$') > 'ZF_set_set$'). 20.11/3.27 tff('function_image$ar',axiom, 20.11/3.27 'image$ar'('fmb_B_ZF_set_fun$_1','fmb_B_set$_1') = 'fmb_ZF_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_zF2mor$',type,'zF2mor$': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'ZF_b_fun$'). 20.11/3.27 tff('function_zF2mor$',axiom, 20.11/3.27 'zF2mor$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_ZF_b_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uus$',type,'uus$': ('ZF$') > 'ZF_ZF_ZF_fun_fun$'). 20.11/3.27 tff('function_uus$',axiom, 20.11/3.27 'uus$'('fmb_ZF$_1') = 'fmb_ZF_ZF_ZF_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$t',type,'image$t': ('ZF_ZF_prod_ZF_ZF_prod_fun$' * 'ZF_ZF_prod_set$') > 'ZF_ZF_prod_set$'). 20.11/3.27 tff('function_image$t',axiom, 20.11/3.27 'image$t'('fmb_ZF_ZF_prod_ZF_ZF_prod_fun$_1','fmb_ZF_ZF_prod_set$_1') = 'fmb_ZF_ZF_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uxz$',type,'uxz$': ('Nat_ZF_set_fun$' * 'ZF_ZF_prod_ZF_fun$') > 'Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$'). 20.11/3.27 tff('function_uxz$',axiom, 20.11/3.27 'uxz$'('fmb_Nat_ZF_set_fun$_1','fmb_ZF_ZF_prod_ZF_fun$_1') = 'fmb_Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_dom_update$a',type,'dom_update$a': ('ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_unit_Category_ext$') > 'ZF_ZF_unit_Category_ext$'). 20.11/3.27 tff('function_dom_update$a',axiom, 20.11/3.27 'dom_update$a'('fmb_ZF_ZF_fun_ZF_ZF_fun_fun$_1','fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_unit_Category_ext$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uwm$',type,'uwm$': ('A_ZF_fun$' * 'A_set$') > 'ZF_bool_fun$'). 20.11/3.27 tff('function_uwm$',axiom, 20.11/3.27 'uwm$'('fmb_A_ZF_fun$_1','fmb_A_set$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$ce',type,'fun_app$ce': ('Nat_nat_ZF_set_ZF_set_prod_fun_fun$' * 'Nat$') > 'Nat_ZF_set_ZF_set_prod_fun$'). 20.11/3.27 tff('function_fun_app$ce',axiom, 20.11/3.27 'fun_app$ce'('fmb_Nat_nat_ZF_set_ZF_set_prod_fun_fun$_1','fmb_Nat$_1') = 'fmb_Nat_ZF_set_ZF_set_prod_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$cm',type,'fun_app$cm': ('Unit_unit_fun$' * 'Unit$') > 'Unit$'). 20.11/3.27 tff('function_fun_app$cm',axiom, 20.11/3.27 'fun_app$cm'('fmb_Unit_unit_fun$_1','fmb_Unit$_1') = 'fmb_Unit$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$at',type,'fun_app$at': ('Nat_ZF_bool_fun_fun$' * 'Nat$') > 'ZF_bool_fun$'). 20.11/3.27 tff('function_fun_app$at',axiom, 20.11/3.27 'fun_app$at'('fmb_Nat_ZF_bool_fun_fun$_1','fmb_Nat$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_homFtorMapContra$',type,'homFtorMapContra$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'B$') > 'A_ZF_fun$'). 20.11/3.27 tff('function_homFtorMapContra$',axiom, 20.11/3.27 'homFtorMapContra$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_B$_1') = 'fmb_A_ZF_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uue$',type,'uue$': ('ZF_ZF_unit_Category_ext$') > 'ZF_ZF_ZF_fun_fun$'). 20.11/3.27 tff('function_uue$',axiom, 20.11/3.27 'uue$'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_ZF_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uzj$',type,'uzj$': ('ZF_ZF_set_fun$' * 'ZF_ZF_set_fun$') > 'ZF_ZF_set_set_fun$'). 20.11/3.27 tff('function_uzj$',axiom, 20.11/3.27 'uzj$'('fmb_ZF_ZF_set_fun$_1','fmb_ZF_ZF_set_fun$_1') = 'fmb_ZF_ZF_set_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uzq$',type,'uzq$': ('ZF_ZF_set_fun$') > 'ZF_ZF_ZF_set_fun_fun$'). 20.11/3.27 tff('function_uzq$',axiom, 20.11/3.27 'uzq$'('fmb_ZF_ZF_set_fun$_1') = 'fmb_ZF_ZF_ZF_set_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_collect$g',type,'collect$g': ('Nat_bool_fun$') > 'Nat_set$'). 20.11/3.27 tff('function_collect$g',axiom, 20.11/3.27 'collect$g'('fmb_Nat_bool_fun$_1') = 'fmb_Nat_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_constFunctor$c',type,'constFunctor$c': ('ZF_ZF_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'). 20.11/3.27 tff('function_constFunctor$c',axiom, 20.11/3.27 'constFunctor$c'('fmb_ZF_ZF_unit_Category_ext$_1','fmb_ZF_ZF_unit_Category_ext$_1','fmb_ZF$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$by',type,'fun_app$by': ('ZF_ZF_set_ZF_set_prod_fun$' * 'ZF$') > 'ZF_set_ZF_set_prod$'). 20.11/3.27 tff('function_fun_app$by',axiom, 20.11/3.27 'fun_app$by'('fmb_ZF_ZF_set_ZF_set_prod_fun$_1','fmb_ZF$_1') = 'fmb_ZF_set_ZF_set_prod$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$am',type,'fun_app$am': ('B_b_fun$' * 'B$') > 'B$'). 20.11/3.27 tff('function_fun_app$am',axiom, 20.11/3.27 'fun_app$am'('fmb_B_b_fun$_1','fmb_B$_1') = 'fmb_B$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_collect$h',type,'collect$h': ('A_bool_fun$') > 'A_set$'). 20.11/3.27 tff('function_collect$h',axiom, 20.11/3.27 'collect$h'('fmb_A_bool_fun$_1') = 'fmb_A_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uzh$',type,'uzh$': ('ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_ZF_prod_set_fun$') > 'ZF_ZF_set_fun$'). 20.11/3.27 tff('function_uzh$',axiom, 20.11/3.27 'uzh$'('fmb_ZF_ZF_prod_ZF_fun$_1','fmb_ZF_ZF_ZF_prod_set_fun$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_comp$a',type,'comp$a': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'B_b_b_fun_fun$'). 20.11/3.27 tff('function_comp$a',axiom, 20.11/3.27 'comp$a'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_B_b_b_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$au',type,'fun_app$au': ('ZF_ZF_prod_set_ZF_set_fun$' * 'ZF_ZF_prod_set$') > 'ZF_set$'). 20.11/3.27 tff('function_fun_app$au',axiom, 20.11/3.27 'fun_app$au'('fmb_ZF_ZF_prod_set_ZF_set_fun$_1','fmb_ZF_ZF_prod_set$_1') = 'fmb_ZF_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uyu$',type,'uyu$': ('ZF_ZF_set_fun$') > 'ZF_set_ZF_set_fun$'). 20.11/3.27 tff('function_uyu$',axiom, 20.11/3.27 'uyu$'('fmb_ZF_ZF_set_fun$_1') = 'fmb_ZF_set_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_relImage$b',type,'relImage$b': ('ZF_ZF_prod_ZF_ZF_prod_prod_set$' * 'ZF_ZF_prod_ZF_fun$') > 'ZF_ZF_prod_set$'). 20.11/3.27 tff('function_relImage$b',axiom, 20.11/3.27 'relImage$b'('fmb_ZF_ZF_prod_ZF_ZF_prod_prod_set$_1','fmb_ZF_ZF_prod_ZF_fun$_1') = 'fmb_ZF_ZF_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uxx$',type,'uxx$': ('Nat_ZF_set_fun$' * 'ZF_ZF_set_fun$') > 'Nat_ZF_ZF_set_ZF_set_prod_fun_fun$'). 20.11/3.27 tff('function_uxx$',axiom, 20.11/3.27 'uxx$'('fmb_Nat_ZF_set_fun$_1','fmb_ZF_ZF_set_fun$_1') = 'fmb_Nat_ZF_ZF_set_ZF_set_prod_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$bq',type,'fun_app$bq': ('Nat_nat_ZF_ZF_prod_set_fun_fun$' * 'Nat$') > 'Nat_ZF_ZF_prod_set_fun$'). 20.11/3.27 tff('function_fun_app$bq',axiom, 20.11/3.27 'fun_app$bq'('fmb_Nat_nat_ZF_ZF_prod_set_fun_fun$_1','fmb_Nat$_1') = 'fmb_Nat_ZF_ZF_prod_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_product$',type,'product$': ('ZF_set$' * 'ZF_set$') > 'ZF_ZF_prod_set$'). 20.11/3.27 tff('function_product$',axiom, 20.11/3.27 'product$'('fmb_ZF_set$_1','fmb_ZF_set$_1') = 'fmb_ZF_ZF_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uyd$',type,'uyd$': ('ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_ZF_fun$') > 'ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun$'). 20.11/3.27 tff('function_uyd$',axiom, 20.11/3.27 'uyd$'('fmb_ZF_ZF_prod_ZF_fun$_1','fmb_ZF_ZF_prod_ZF_fun$_1') = 'fmb_ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uvj$',type,'uvj$': ('Nat_ZF_set_fun$' * 'ZF_nat_fun$') > 'ZF_ZF_set_fun$'). 20.11/3.27 tff('function_uvj$',axiom, 20.11/3.27 'uvj$'('fmb_Nat_ZF_set_fun$_1','fmb_ZF_nat_fun$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uwq$',type,'uwq$': ('ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_ZF_prod_fun$') > 'ZF_ZF_fun$'). 20.11/3.27 tff('function_uwq$',axiom, 20.11/3.27 'uwq$'('fmb_ZF_ZF_prod_ZF_fun$_1','fmb_ZF_ZF_ZF_prod_fun$_1') = 'fmb_ZF_ZF_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_pair$d',type,'pair$d': ('ZF_set$' * 'ZF_set$') > 'ZF_set_ZF_set_prod$'). 20.11/3.27 tff('function_pair$d',axiom, 20.11/3.27 'pair$d'('fmb_ZF_set$_1','fmb_ZF_set$_1') = 'fmb_ZF_set_ZF_set_prod$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$j',type,'image$j': ('ZF_set_a_fun$' * 'ZF_set_set$') > 'A_set$'). 20.11/3.27 tff('function_image$j',axiom, 20.11/3.27 'image$j'('fmb_ZF_set_a_fun$_1','fmb_ZF_set_set$_1') = 'fmb_A_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$',type,'fun_app$': ('ZF_ZF_fun$' * 'ZF$') > 'ZF$'). 20.11/3.27 tff('function_fun_app$',axiom, 20.11/3.27 'fun_app$'('fmb_ZF_ZF_fun$_1','fmb_ZF$_1') = 'fmb_ZF$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$l',type,'fun_app$l': ('B_set_b_bool_fun_fun$' * 'B_set$') > 'B_bool_fun$'). 20.11/3.27 tff('function_fun_app$l',axiom, 20.11/3.27 'fun_app$l'('fmb_B_set_b_bool_fun_fun$_1','fmb_B_set$_1') = 'fmb_B_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_objIso$',type,'objIso$': ('ZF_ZF_unit_Category_ext$') > 'ZF_ZF_bool_fun_fun$'). 20.11/3.27 tff('function_objIso$',axiom, 20.11/3.27 'objIso$'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_bool_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$ax',type,'fun_app$ax': ('ZF_ZF_set_set_fun$' * 'ZF$') > 'ZF_set_set$'). 20.11/3.27 tff('function_fun_app$ax',axiom, 20.11/3.27 'fun_app$ax'('fmb_ZF_ZF_set_set_fun$_1','fmb_ZF$_1') = 'fmb_ZF_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$cs',type,'fun_app$cs': ('A_b_set_fun$' * 'A$') > 'B_set$'). 20.11/3.27 tff('function_fun_app$cs',axiom, 20.11/3.27 'fun_app$cs'('fmb_A_b_set_fun$_1','fmb_A$_1') = 'fmb_B_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uzz$',type,'uzz$': ('ZF_nat_bool_fun_fun$' * 'Nat$') > 'ZF_bool_fun$'). 20.11/3.27 tff('function_uzz$',axiom, 20.11/3.27 'uzz$'('fmb_ZF_nat_bool_fun_fun$_1','fmb_Nat$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$aw',type,'fun_app$aw': ('Nat_ZF_ZF_prod_set_fun$' * 'Nat$') > 'ZF_ZF_prod_set$'). 20.11/3.27 tff('function_fun_app$aw',axiom, 20.11/3.27 'fun_app$aw'('fmb_Nat_ZF_ZF_prod_set_fun$_1','fmb_Nat$_1') = 'fmb_ZF_ZF_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_collect$e',type,'collect$e': ('B_a_fun_bool_fun$') > 'B_a_fun_set$'). 20.11/3.27 tff('function_collect$e',axiom, 20.11/3.27 'collect$e'('fmb_B_a_fun_bool_fun$_1') = 'fmb_B_a_fun_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$g',type,'fun_app$g': ('ZF_set_ZF_bool_fun_fun$' * 'ZF_set$') > 'ZF_bool_fun$'). 20.11/3.27 tff('function_fun_app$g',axiom, 20.11/3.27 'fun_app$g'('fmb_ZF_set_ZF_bool_fun_fun$_1','fmb_ZF_set$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_restrict$d',type,'restrict$d': ('ZF_ZF_fun$' * 'ZF_set$') > 'ZF_ZF_fun$'). 20.11/3.27 tff('function_restrict$d',axiom, 20.11/3.27 'restrict$d'('fmb_ZF_ZF_fun$_1','fmb_ZF_set$_1') = 'fmb_ZF_ZF_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$af',type,'image$af': ('Nat_ZF_prod_ZF_set_ZF_set_prod_fun$' * 'Nat_ZF_prod_set$') > 'ZF_set_ZF_set_prod_set$'). 20.11/3.27 tff('function_image$af',axiom, 20.11/3.27 'image$af'('fmb_Nat_ZF_prod_ZF_set_ZF_set_prod_fun$_1','fmb_Nat_ZF_prod_set$_1') = 'fmb_ZF_set_ZF_set_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uvl$',type,'uvl$': ('A_a_fun$' * 'A_set$' * 'A_bool_fun$') > 'A_bool_fun$'). 20.11/3.27 tff('function_uvl$',axiom, 20.11/3.27 'uvl$'('fmb_A_a_fun$_1','fmb_A_set$_1','fmb_A_bool_fun$_1') = 'fmb_A_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_isomorphism$a',type,'isomorphism$a': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'B_bool_fun$'). 20.11/3.27 tff('function_isomorphism$a',axiom, 20.11/3.27 'isomorphism$a'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_B_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$bd',type,'image$bd': ('ZF_nat_prod_ZF_ZF_prod_set_fun$' * 'ZF_nat_prod_set$') > 'ZF_ZF_prod_set_set$'). 20.11/3.27 tff('function_image$bd',axiom, 20.11/3.27 'image$bd'('fmb_ZF_nat_prod_ZF_ZF_prod_set_fun$_1','fmb_ZF_nat_prod_set$_1') = 'fmb_ZF_ZF_prod_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$q',type,'image$q': ('ZF_set_ZF_set_fun$') > 'ZF_set_set_ZF_set_set_fun$'). 20.11/3.27 tff('function_image$q',axiom, 20.11/3.27 'image$q'('fmb_ZF_set_ZF_set_fun$_1') = 'fmb_ZF_set_set_ZF_set_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$an',type,'fun_app$an': ('B_b_b_fun_fun$' * 'B$') > 'B_b_fun$'). 20.11/3.27 tff('function_fun_app$an',axiom, 20.11/3.27 'fun_app$an'('fmb_B_b_b_fun_fun$_1','fmb_B$_1') = 'fmb_B_b_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uwz$',type,'uwz$': ('ZF_ZF_set_fun$' * 'ZF_set$') > 'ZF_set_ZF_set_set_fun$'). 20.11/3.27 tff('function_uwz$',axiom, 20.11/3.27 'uwz$'('fmb_ZF_ZF_set_fun$_1','fmb_ZF_set$_1') = 'fmb_ZF_set_ZF_set_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$av',type,'image$av': ('ZF_ZF_prod_set_ZF_set_fun$') > 'ZF_ZF_prod_set_set_ZF_set_set_fun$'). 20.11/3.27 tff('function_image$av',axiom, 20.11/3.27 'image$av'('fmb_ZF_ZF_prod_set_ZF_set_fun$_1') = 'fmb_ZF_ZF_prod_set_set_ZF_set_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$aw',type,'image$aw': ('ZF_nat_set_fun$' * 'ZF_set$') > 'Nat_set_set$'). 20.11/3.27 tff('function_image$aw',axiom, 20.11/3.27 'image$aw'('fmb_ZF_nat_set_fun$_1','fmb_ZF_set$_1') = 'fmb_Nat_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$bp',type,'image$bp': ('ZF_nat_fun_ZF_set_fun$' * 'ZF_nat_fun_set$') > 'ZF_set_set$'). 20.11/3.27 tff('function_image$bp',axiom, 20.11/3.27 'image$bp'('fmb_ZF_nat_fun_ZF_set_fun$_1','fmb_ZF_nat_fun_set$_1') = 'fmb_ZF_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$ap',type,'fun_app$ap': ('Nat_nat_fun$' * 'Nat$') > 'Nat$'). 20.11/3.27 tff('function_fun_app$ap',axiom, 20.11/3.27 'fun_app$ap'('fmb_Nat_nat_fun$_1','fmb_Nat$_1') = 'fmb_Nat$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$am',type,'image$am': ('B_a_set_fun$' * 'B_set$') > 'A_set_set$'). 20.11/3.27 tff('function_image$am',axiom, 20.11/3.27 'image$am'('fmb_B_a_set_fun$_1','fmb_B_set$_1') = 'fmb_A_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_vab$',type,'vab$': ('ZF_ZF_set_fun$') > 'ZF_ZF_bool_fun_fun$'). 20.11/3.27 tff('function_vab$',axiom, 20.11/3.27 'vab$'('fmb_ZF_ZF_set_fun$_1') = 'fmb_ZF_ZF_bool_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_sup$b',type,'sup$b': ('A_set_set$') > 'A_set$'). 20.11/3.27 tff('function_sup$b',axiom, 20.11/3.27 'sup$b'('fmb_A_set_set$_1') = 'fmb_A_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$z',type,'fun_app$z': ('ZF_ZF_fun_ZF_set_fun$' * 'ZF_ZF_fun$') > 'ZF_set$'). 20.11/3.27 tff('function_fun_app$z',axiom, 20.11/3.27 'fun_app$z'('fmb_ZF_ZF_fun_ZF_set_fun$_1','fmb_ZF_ZF_fun$_1') = 'fmb_ZF_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_isomorphism$',type,'isomorphism$': ('ZF_ZF_unit_Category_ext$') > 'ZF_bool_fun$'). 20.11/3.27 tff('function_isomorphism$',axiom, 20.11/3.27 'isomorphism$'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$ae',type,'image$ae': ('ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun$' * 'ZF_ZF_prod_nat_prod_set$') > 'ZF_ZF_set_prod_set$'). 20.11/3.27 tff('function_image$ae',axiom, 20.11/3.27 'image$ae'('fmb_ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun$_1','fmb_ZF_ZF_prod_nat_prod_set$_1') = 'fmb_ZF_ZF_set_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uzi$',type,'uzi$': ('ZF_ZF_prod_ZF_fun$' * 'Nat_ZF_ZF_prod_set_fun$') > 'Nat_ZF_set_fun$'). 20.11/3.27 tff('function_uzi$',axiom, 20.11/3.27 'uzi$'('fmb_ZF_ZF_prod_ZF_fun$_1','fmb_Nat_ZF_ZF_prod_set_fun$_1') = 'fmb_Nat_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_id$a',type,'id$a': ('ZF_ZF_unit_Category_ext$') > 'ZF_ZF_fun$'). 20.11/3.27 tff('function_id$a',axiom, 20.11/3.27 'id$a'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_case_prod$k',type,'case_prod$k': ('ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun$') > 'ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun$'). 20.11/3.27 tff('function_case_prod$k',axiom, 20.11/3.27 'case_prod$k'('fmb_ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun$_1') = 'fmb_ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_sigma$j',type,'sigma$j': ('Nat_set$' * 'Nat_ZF_ZF_prod_set_fun$') > 'Nat_ZF_ZF_prod_prod_set$'). 20.11/3.27 tff('function_sigma$j',axiom, 20.11/3.27 'sigma$j'('fmb_Nat_set$_1','fmb_Nat_ZF_ZF_prod_set_fun$_1') = 'fmb_Nat_ZF_ZF_prod_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uzc$',type,'uzc$': ('Nat_ZF_ZF_set_fun_fun$') > 'ZF_nat_ZF_set_fun_fun$'). 20.11/3.27 tff('function_uzc$',axiom, 20.11/3.27 'uzc$'('fmb_Nat_ZF_ZF_set_fun_fun$_1') = 'fmb_ZF_nat_ZF_set_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_comp$c',type,'comp$c': ('ZF_set_set_set_ZF_set_set_fun$' * 'Nat_set_set_ZF_set_set_set_fun$') > 'Nat_set_set_ZF_set_set_fun$'). 20.11/3.27 tff('function_comp$c',axiom, 20.11/3.27 'comp$c'('fmb_ZF_set_set_set_ZF_set_set_fun$_1','fmb_Nat_set_set_ZF_set_set_set_fun$_1') = 'fmb_Nat_set_set_ZF_set_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uvd$',type,'uvd$': ('ZF_ZF_fun$' * 'ZF_ZF_prod_ZF_fun$') > 'ZF_ZF_prod_ZF_fun$'). 20.11/3.27 tff('function_uvd$',axiom, 20.11/3.27 'uvd$'('fmb_ZF_ZF_fun$_1','fmb_ZF_ZF_prod_ZF_fun$_1') = 'fmb_ZF_ZF_prod_ZF_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uvt$',type,'uvt$': ('ZF_a_fun$' * 'ZF_set$' * 'A_bool_fun$') > 'A_bool_fun$'). 20.11/3.27 tff('function_uvt$',axiom, 20.11/3.27 'uvt$'('fmb_ZF_a_fun$_1','fmb_ZF_set$_1','fmb_A_bool_fun$_1') = 'fmb_A_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$dc',type,'fun_app$dc': ('ZF_ZF_prod_set_set_ZF_set_set_fun$' * 'ZF_ZF_prod_set_set$') > 'ZF_set_set$'). 20.11/3.27 tff('function_fun_app$dc',axiom, 20.11/3.27 'fun_app$dc'('fmb_ZF_ZF_prod_set_set_ZF_set_set_fun$_1','fmb_ZF_ZF_prod_set_set$_1') = 'fmb_ZF_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_constFunctor$b',type,'constFunctor$b': ('ZF_ZF_unit_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$') > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'). 20.11/3.27 tff('function_constFunctor$b',axiom, 20.11/3.27 'constFunctor$b'('fmb_ZF_ZF_unit_Category_ext$_1','fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_A$_1') = 'fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$cz',type,'fun_app$cz': ('Nat_set_set_nat_set_fun$' * 'Nat_set_set$') > 'Nat_set$'). 20.11/3.27 tff('function_fun_app$cz',axiom, 20.11/3.27 'fun_app$cz'('fmb_Nat_set_set_nat_set_fun$_1','fmb_Nat_set_set$_1') = 'fmb_Nat_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uwi$',type,'uwi$': ('ZF_ZF_fun$' * 'ZF_bool_fun$') > 'ZF_bool_fun$'). 20.11/3.27 tff('function_uwi$',axiom, 20.11/3.27 'uwi$'('fmb_ZF_ZF_fun$_1','fmb_ZF_bool_fun$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uyf$',type,'uyf$': ('ZF_ZF_set_fun$' * 'ZF_ZF_set_fun$') > 'ZF_ZF_ZF_set_ZF_set_prod_fun_fun$'). 20.11/3.27 tff('function_uyf$',axiom, 20.11/3.27 'uyf$'('fmb_ZF_ZF_set_fun$_1','fmb_ZF_ZF_set_fun$_1') = 'fmb_ZF_ZF_ZF_set_ZF_set_prod_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$k',type,'image$k': ('B_ZF_fun$' * 'B_set$') > 'ZF_set$'). 20.11/3.27 tff('function_image$k',axiom, 20.11/3.27 'image$k'('fmb_B_ZF_fun$_1','fmb_B_set$_1') = 'fmb_ZF_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_case_prod$j',type,'case_prod$j': ('Nat_nat_ZF_set_ZF_set_prod_fun_fun$') > 'Nat_nat_prod_ZF_set_ZF_set_prod_fun$'). 20.11/3.27 tff('function_case_prod$j',axiom, 20.11/3.27 'case_prod$j'('fmb_Nat_nat_ZF_set_ZF_set_prod_fun_fun$_1') = 'fmb_Nat_nat_prod_ZF_set_ZF_set_prod_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$ba',type,'fun_app$ba': ('Nat_ZF_ZF_prod_fun$' * 'Nat$') > 'ZF_ZF_prod$'). 20.11/3.27 tff('function_fun_app$ba',axiom, 20.11/3.27 'fun_app$ba'('fmb_Nat_ZF_ZF_prod_fun$_1','fmb_Nat$_1') = 'fmb_ZF_ZF_prod$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_relImage$',type,'relImage$': ('ZF_ZF_prod_set$' * 'ZF_ZF_set_fun$') > 'ZF_set_ZF_set_prod_set$'). 20.11/3.27 tff('function_relImage$',axiom, 20.11/3.27 'relImage$'('fmb_ZF_ZF_prod_set$_1','fmb_ZF_ZF_set_fun$_1') = 'fmb_ZF_set_ZF_set_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$be',type,'image$be': ('Nat_ZF_prod_ZF_ZF_prod_set_fun$' * 'Nat_ZF_prod_set$') > 'ZF_ZF_prod_set_set$'). 20.11/3.27 tff('function_image$be',axiom, 20.11/3.27 'image$be'('fmb_Nat_ZF_prod_ZF_ZF_prod_set_fun$_1','fmb_Nat_ZF_prod_set$_1') = 'fmb_ZF_ZF_prod_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_homFtor$a',type,'homFtor$a': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'A$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'). 20.11/3.27 tff('function_homFtor$a',axiom, 20.11/3.27 'homFtor$a'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_A$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_sigma$l',type,'sigma$l': ('Nat_set$' * 'Nat_ZF_set_set_fun$') > 'Nat_ZF_set_prod_set$'). 20.11/3.27 tff('function_sigma$l',axiom, 20.11/3.27 'sigma$l'('fmb_Nat_set$_1','fmb_Nat_ZF_set_set_fun$_1') = 'fmb_Nat_ZF_set_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$bj',type,'fun_app$bj': ('ZF_set_a_fun$' * 'ZF_set$') > 'A$'). 20.11/3.27 tff('function_fun_app$bj',axiom, 20.11/3.27 'fun_app$bj'('fmb_ZF_set_a_fun$_1','fmb_ZF_set$_1') = 'fmb_A$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uzx$',type,'uzx$': ('ZF_ZF_bool_fun_fun$') > 'ZF_ZF_set_fun$'). 20.11/3.27 tff('function_uzx$',axiom, 20.11/3.27 'uzx$'('fmb_ZF_ZF_bool_fun_fun$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_relInvImage$',type,'relInvImage$': ('ZF_set$' * 'ZF_set_ZF_set_prod_set$' * 'ZF_ZF_set_fun$') > 'ZF_ZF_prod_set$'). 20.11/3.27 tff('function_relInvImage$',axiom, 20.11/3.27 'relInvImage$'('fmb_ZF_set$_1','fmb_ZF_set_ZF_set_prod_set$_1','fmb_ZF_ZF_set_fun$_1') = 'fmb_ZF_ZF_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_case_prod$i',type,'case_prod$i': ('Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$') > 'Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$'). 20.11/3.27 tff('function_case_prod$i',axiom, 20.11/3.27 'case_prod$i'('fmb_Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$_1') = 'fmb_Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_vav$',type,'vav$': ('ZF_ZF_ZF_set_fun_fun$') > 'ZF_ZF_fun_ZF_set_fun$'). 20.11/3.27 tff('function_vav$',axiom, 20.11/3.27 'vav$'('fmb_ZF_ZF_ZF_set_fun_fun$_1') = 'fmb_ZF_ZF_fun_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$ch',type,'fun_app$ch': ('B_a_fun_b_a_fun_fun$' * 'B_a_fun$') > 'B_a_fun$'). 20.11/3.27 tff('function_fun_app$ch',axiom, 20.11/3.27 'fun_app$ch'('fmb_B_a_fun_b_a_fun_fun$_1','fmb_B_a_fun$_1') = 'fmb_B_a_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$bl',type,'image$bl': ('ZF_ZF_bool_fun_fun$' * 'ZF_set$') > 'ZF_bool_fun_set$'). 20.11/3.27 tff('function_image$bl',axiom, 20.11/3.27 'image$bl'('fmb_ZF_ZF_bool_fun_fun$_1','fmb_ZF_set$_1') = 'fmb_ZF_bool_fun_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_case_prod$o',type,'case_prod$o': ('Nat_nat_ZF_ZF_prod_set_fun_fun$') > 'Nat_nat_prod_ZF_ZF_prod_set_fun$'). 20.11/3.27 tff('function_case_prod$o',axiom, 20.11/3.27 'case_prod$o'('fmb_Nat_nat_ZF_ZF_prod_set_fun_fun$_1') = 'fmb_Nat_nat_prod_ZF_ZF_prod_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$da',type,'fun_app$da': ('ZF_set_set_set_ZF_set_set_fun$' * 'ZF_set_set_set$') > 'ZF_set_set$'). 20.11/3.27 tff('function_fun_app$da',axiom, 20.11/3.27 'fun_app$da'('fmb_ZF_set_set_set_ZF_set_set_fun$_1','fmb_ZF_set_set_set$_1') = 'fmb_ZF_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uul$',type,'uul$': ('ZF_ZF_prod_ZF_fun$') > 'ZF_ZF_ZF_fun_fun$'). 20.11/3.27 tff('function_uul$',axiom, 20.11/3.27 'uul$'('fmb_ZF_ZF_prod_ZF_fun$_1') = 'fmb_ZF_ZF_ZF_fun_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_sigma$d',type,'sigma$d': ('Nat_set$' * 'Nat_nat_set_fun$') > 'Nat_nat_prod_set$'). 20.11/3.27 tff('function_sigma$d',axiom, 20.11/3.27 'sigma$d'('fmb_Nat_set$_1','fmb_Nat_nat_set_fun$_1') = 'fmb_Nat_nat_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$s',type,'image$s': ('ZF_ZF_prod_ZF_set_fun$' * 'ZF_ZF_prod_set$') > 'ZF_set_set$'). 20.11/3.27 tff('function_image$s',axiom, 20.11/3.27 'image$s'('fmb_ZF_ZF_prod_ZF_set_fun$_1','fmb_ZF_ZF_prod_set$_1') = 'fmb_ZF_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$v',type,'image$v': ('Nat_nat_fun$' * 'Nat_set$') > 'Nat_set$'). 20.11/3.27 tff('function_image$v',axiom, 20.11/3.27 'image$v'('fmb_Nat_nat_fun$_1','fmb_Nat_set$_1') = 'fmb_Nat_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uvx$',type,'uvx$': ('A_ZF_fun$' * 'A_set$' * 'ZF_bool_fun$') > 'ZF_bool_fun$'). 20.11/3.27 tff('function_uvx$',axiom, 20.11/3.27 'uvx$'('fmb_A_ZF_fun$_1','fmb_A_set$_1','fmb_ZF_bool_fun$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_homSet$',type,'homSet$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'A$') > 'A_ZF_fun$'). 20.11/3.27 tff('function_homSet$',axiom, 20.11/3.27 'homSet$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_A$_1') = 'fmb_A_ZF_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$bm',type,'image$bm': ('Nat_ZF_bool_fun_fun$' * 'Nat_set$') > 'ZF_bool_fun_set$'). 20.11/3.27 tff('function_image$bm',axiom, 20.11/3.27 'image$bm'('fmb_Nat_ZF_bool_fun_fun$_1','fmb_Nat_set$_1') = 'fmb_ZF_bool_fun_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$cv',type,'fun_app$cv': ('ZF_a_set_fun$' * 'ZF$') > 'A_set$'). 20.11/3.27 tff('function_fun_app$cv',axiom, 20.11/3.27 'fun_app$cv'('fmb_ZF_a_set_fun$_1','fmb_ZF$_1') = 'fmb_A_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uzl$',type,'uzl$': ('ZF_ZF_fun$' * 'ZF_ZF_set_fun$') > 'ZF_ZF_set_fun$'). 20.11/3.27 tff('function_uzl$',axiom, 20.11/3.27 'uzl$'('fmb_ZF_ZF_fun$_1','fmb_ZF_ZF_set_fun$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_pair$b',type,'pair$b': ('ZF$' * 'ZF_set$') > 'ZF_ZF_set_prod$'). 20.11/3.27 tff('function_pair$b',axiom, 20.11/3.27 'pair$b'('fmb_ZF$_1','fmb_ZF_set$_1') = 'fmb_ZF_ZF_set_prod$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_mor_update$',type,'mor_update$': ('ZF_set_ZF_set_fun$' * 'ZF_ZF_unit_Category_ext$') > 'ZF_ZF_unit_Category_ext$'). 20.11/3.27 tff('function_mor_update$',axiom, 20.11/3.27 'mor_update$'('fmb_ZF_set_ZF_set_fun$_1','fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_unit_Category_ext$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$bo',type,'image$bo': ('Nat_ZF_fun_ZF_set_fun$' * 'Nat_ZF_fun_set$') > 'ZF_set_set$'). 20.11/3.27 tff('function_image$bo',axiom, 20.11/3.27 'image$bo'('fmb_Nat_ZF_fun_ZF_set_fun$_1','fmb_Nat_ZF_fun_set$_1') = 'fmb_ZF_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$ay',type,'image$ay': ('Nat_set_ZF_set_fun$' * 'Nat_set_set$') > 'ZF_set_set$'). 20.11/3.27 tff('function_image$ay',axiom, 20.11/3.27 'image$ay'('fmb_Nat_set_ZF_set_fun$_1','fmb_Nat_set_set$_1') = 'fmb_ZF_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$bf',type,'image$bf': ('Nat_nat_prod_ZF_ZF_prod_set_fun$' * 'Nat_nat_prod_set$') > 'ZF_ZF_prod_set_set$'). 20.11/3.27 tff('function_image$bf',axiom, 20.11/3.27 'image$bf'('fmb_Nat_nat_prod_ZF_ZF_prod_set_fun$_1','fmb_Nat_nat_prod_set$_1') = 'fmb_ZF_ZF_prod_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_sigma$i',type,'sigma$i': ('ZF_ZF_prod_set$' * 'ZF_ZF_prod_nat_set_fun$') > 'ZF_ZF_prod_nat_prod_set$'). 20.11/3.27 tff('function_sigma$i',axiom, 20.11/3.27 'sigma$i'('fmb_ZF_ZF_prod_set$_1','fmb_ZF_ZF_prod_nat_set_fun$_1') = 'fmb_ZF_ZF_prod_nat_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$l',type,'image$l': ('B_b_fun$') > 'B_set_b_set_fun$'). 20.11/3.27 tff('function_image$l',axiom, 20.11/3.27 'image$l'('fmb_B_b_fun$_1') = 'fmb_B_set_b_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uxt$',type,'uxt$': ('ZF_ZF_set_fun$' * 'ZF_set$') > 'ZF_ZF_set_set_fun$'). 20.11/3.27 tff('function_uxt$',axiom, 20.11/3.27 'uxt$'('fmb_ZF_ZF_set_fun$_1','fmb_ZF_set$_1') = 'fmb_ZF_ZF_set_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$at',type,'image$at': ('Nat_set_ZF_set_set_fun$') > 'Nat_set_set_ZF_set_set_set_fun$'). 20.11/3.27 tff('function_image$at',axiom, 20.11/3.27 'image$at'('fmb_Nat_set_ZF_set_set_fun$_1') = 'fmb_Nat_set_set_ZF_set_set_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_vaz$',type,'vaz$': ('Nat_ZF_ZF_set_fun_fun$') > 'ZF_nat_fun_ZF_set_fun$'). 20.11/3.27 tff('function_vaz$',axiom, 20.11/3.27 'vaz$'('fmb_Nat_ZF_ZF_set_fun_fun$_1') = 'fmb_ZF_nat_fun_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uvk$',type,'uvk$': ('Nat_ZF_set_fun$' * 'Nat_nat_fun$') > 'Nat_ZF_set_fun$'). 20.11/3.27 tff('function_uvk$',axiom, 20.11/3.27 'uvk$'('fmb_Nat_ZF_set_fun$_1','fmb_Nat_nat_fun$_1') = 'fmb_Nat_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$q',type,'fun_app$q': ('ZF_ZF_bool_fun_fun$' * 'ZF$') > 'ZF_bool_fun$'). 20.11/3.27 tff('function_fun_app$q',axiom, 20.11/3.27 'fun_app$q'('fmb_ZF_ZF_bool_fun_fun$_1','fmb_ZF$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uwc$',type,'uwc$': ('ZF_ZF_fun$' * 'ZF_set$' * 'ZF_bool_fun$') > 'ZF_bool_fun$'). 20.11/3.27 tff('function_uwc$',axiom, 20.11/3.27 'uwc$'('fmb_ZF_ZF_fun$_1','fmb_ZF_set$_1','fmb_ZF_bool_fun$_1') = 'fmb_ZF_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$bl',type,'fun_app$bl': ('A_b_fun$' * 'A$') > 'B$'). 20.11/3.27 tff('function_fun_app$bl',axiom, 20.11/3.27 'fun_app$bl'('fmb_A_b_fun$_1','fmb_A$_1') = 'fmb_B$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uys$',type,'uys$': ('ZF_ZF_set_fun$' * 'Nat_ZF_set_fun$') > 'Nat_ZF_set_fun$'). 20.11/3.27 tff('function_uys$',axiom, 20.11/3.27 'uys$'('fmb_ZF_ZF_set_fun$_1','fmb_Nat_ZF_set_fun$_1') = 'fmb_Nat_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_gr$b',type,'gr$b': ('Nat_set$' * 'Nat_ZF_set_fun$') > 'Nat_ZF_set_prod_set$'). 20.11/3.27 tff('function_gr$b',axiom, 20.11/3.27 'gr$b'('fmb_Nat_set$_1','fmb_Nat_ZF_set_fun$_1') = 'fmb_Nat_ZF_set_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_less_eq$c',type,'less_eq$c': ('ZF_set$') > 'ZF_set_bool_fun$'). 20.11/3.27 tff('function_less_eq$c',axiom, 20.11/3.27 'less_eq$c'('fmb_ZF_set$_1') = 'fmb_ZF_set_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$c',type,'fun_app$c': ('ZF_set_ZF_ZF_prod_set_fun$' * 'ZF_set$') > 'ZF_ZF_prod_set$'). 20.11/3.27 tff('function_fun_app$c',axiom, 20.11/3.27 'fun_app$c'('fmb_ZF_set_ZF_ZF_prod_set_fun$_1','fmb_ZF_set$_1') = 'fmb_ZF_ZF_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uyj$',type,'uyj$': ('ZF_set_set$') > 'Nat_ZF_set_set_fun$'). 20.11/3.27 tff('function_uyj$',axiom, 20.11/3.27 'uyj$'('fmb_ZF_set_set$_1') = 'fmb_Nat_ZF_set_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_vay$',type,'vay$': ('Nat_ZF_ZF_set_fun_fun$') > 'ZF_ZF_set_fun$'). 20.11/3.27 tff('function_vay$',axiom, 20.11/3.27 'vay$'('fmb_Nat_ZF_ZF_set_fun_fun$_1') = 'fmb_ZF_ZF_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$au',type,'image$au': ('ZF_set_ZF_set_set_fun$') > 'ZF_set_set_ZF_set_set_set_fun$'). 20.11/3.27 tff('function_image$au',axiom, 20.11/3.27 'image$au'('fmb_ZF_set_ZF_set_set_fun$_1') = 'fmb_ZF_set_set_ZF_set_set_set_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_pair$c',type,'pair$c': ('ZF_set$' * 'ZF$') > 'ZF_set_ZF_prod$'). 20.11/3.27 tff('function_pair$c',axiom, 20.11/3.27 'pair$c'('fmb_ZF_set$_1','fmb_ZF$_1') = 'fmb_ZF_set_ZF_prod$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$e',type,'fun_app$e': ('ZF_ZF_ZF_ZF_prod_fun_fun$' * 'ZF$') > 'ZF_ZF_ZF_prod_fun$'). 20.11/3.27 tff('function_fun_app$e',axiom, 20.11/3.27 'fun_app$e'('fmb_ZF_ZF_ZF_ZF_prod_fun_fun$_1','fmb_ZF$_1') = 'fmb_ZF_ZF_ZF_prod_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_makeCat$a',type,'makeCat$a': ('ZF_ZF_unit_Category_ext$') > 'ZF_ZF_unit_Category_ext$'). 20.11/3.27 tff('function_makeCat$a',axiom, 20.11/3.27 'makeCat$a'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_unit_Category_ext$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$u',type,'image$u': ('ZF_nat_fun$' * 'ZF_set$') > 'Nat_set$'). 20.11/3.27 tff('function_image$u',axiom, 20.11/3.27 'image$u'('fmb_ZF_nat_fun$_1','fmb_ZF_set$_1') = 'fmb_Nat_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$bz',type,'fun_app$bz': ('ZF_ZF_ZF_set_ZF_set_prod_fun_fun$' * 'ZF$') > 'ZF_ZF_set_ZF_set_prod_fun$'). 20.11/3.27 tff('function_fun_app$bz',axiom, 20.11/3.27 'fun_app$bz'('fmb_ZF_ZF_ZF_set_ZF_set_prod_fun_fun$_1','fmb_ZF$_1') = 'fmb_ZF_ZF_set_ZF_set_prod_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_dom$a',type,'dom$a': ('ZF_ZF_unit_Category_ext$') > 'ZF_ZF_fun$'). 20.11/3.27 tff('function_dom$a',axiom, 20.11/3.27 'dom$a'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$r',type,'fun_app$r': ('Nat_ZF_set_fun$' * 'Nat$') > 'ZF_set$'). 20.11/3.27 tff('function_fun_app$r',axiom, 20.11/3.27 'fun_app$r'('fmb_Nat_ZF_set_fun$_1','fmb_Nat$_1') = 'fmb_ZF_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$t',type,'fun_app$t': ('Nat_nat_fun_ZF_set_fun$' * 'Nat_nat_fun$') > 'ZF_set$'). 20.11/3.27 tff('function_fun_app$t',axiom, 20.11/3.27 'fun_app$t'('fmb_Nat_nat_fun_ZF_set_fun$_1','fmb_Nat_nat_fun$_1') = 'fmb_ZF_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$i',type,'fun_app$i': ('ZF_set_set_ZF_set_bool_fun_fun$' * 'ZF_set_set$') > 'ZF_set_bool_fun$'). 20.11/3.27 tff('function_fun_app$i',axiom, 20.11/3.27 'fun_app$i'('fmb_ZF_set_set_ZF_set_bool_fun_fun$_1','fmb_ZF_set_set$_1') = 'fmb_ZF_set_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uup$',type,'uup$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'B$') > 'ZF_ZF_fun$'). 20.11/3.27 tff('function_uup$',axiom, 20.11/3.27 'uup$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_B$_1') = 'fmb_ZF_ZF_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_uwj$',type,'uwj$': ('Nat_ZF_set_fun$' * 'Nat_set$') > 'ZF_set_bool_fun$'). 20.11/3.27 tff('function_uwj$',axiom, 20.11/3.27 'uwj$'('fmb_Nat_ZF_set_fun$_1','fmb_Nat_set$_1') = 'fmb_ZF_set_bool_fun$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$ba',type,'image$ba': ('Nat_ZF_ZF_prod_set_fun$' * 'Nat_set$') > 'ZF_ZF_prod_set_set$'). 20.11/3.27 tff('function_image$ba',axiom, 20.11/3.27 'image$ba'('fmb_Nat_ZF_ZF_prod_set_fun$_1','fmb_Nat_set$_1') = 'fmb_ZF_ZF_prod_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$bk',type,'image$bk': ('ZF_set_ZF_bool_fun_fun$' * 'ZF_set_set$') > 'ZF_bool_fun_set$'). 20.11/3.27 tff('function_image$bk',axiom, 20.11/3.27 'image$bk'('fmb_ZF_set_ZF_bool_fun_fun$_1','fmb_ZF_set_set$_1') = 'fmb_ZF_bool_fun_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_image$ao',type,'image$ao': ('ZF_a_set_fun$' * 'ZF_set$') > 'A_set_set$'). 20.11/3.27 tff('function_image$ao',axiom, 20.11/3.27 'image$ao'('fmb_ZF_a_set_fun$_1','fmb_ZF_set$_1') = 'fmb_A_set_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_collect$a',type,'collect$a': ('ZF_ZF_prod_bool_fun$') > 'ZF_ZF_prod_set$'). 20.11/3.27 tff('function_collect$a',axiom, 20.11/3.27 'collect$a'('fmb_ZF_ZF_prod_bool_fun$_1') = 'fmb_ZF_ZF_prod_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_mor$',type,'mor$': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'B_set$'). 20.11/3.27 tff('function_mor$',axiom, 20.11/3.27 'mor$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_B_set$_1' 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_less_eq$e',type,'less_eq$e': ('ZF_ZF_prod_set$' * 'ZF_ZF_prod_set$') > $o). 20.11/3.27 tff('predicate_less_eq$e',axiom, 20.11/3.27 'less_eq$e'('fmb_ZF_ZF_prod_set$_1','fmb_ZF_ZF_prod_set$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_functorM$',type,'functorM$': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$') > $o). 20.11/3.27 tff('predicate_functorM$',axiom, 20.11/3.27 'functorM$'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$ak',type,'fun_app$ak': ('ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod$') > $o). 20.11/3.27 tff('predicate_fun_app$ak',axiom, 20.11/3.27 'fun_app$ak'('fmb_ZF_ZF_prod_bool_fun$_1','fmb_ZF_ZF_prod$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_less_eq$f',type,'less_eq$f': ('ZF_ZF_set_prod_set$' * 'ZF_ZF_set_prod_set$') > $o). 20.11/3.27 tff('predicate_less_eq$f',axiom, 20.11/3.27 'less_eq$f'('fmb_ZF_ZF_set_prod_set$_1','fmb_ZF_ZF_set_prod_set$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_lSCategory$',type,'lSCategory$': ('A_b_b_c_LSCategory_ext_Category_ext$') > $o). 20.11/3.27 tff('predicate_lSCategory$',axiom, 20.11/3.27 'lSCategory$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_less_eq$k',type,'less_eq$k': ('B_bool_fun$' * 'B_bool_fun$') > $o). 20.11/3.27 tff('predicate_less_eq$k',axiom, 20.11/3.27 'less_eq$k'('fmb_B_bool_fun$_1','fmb_B_bool_fun$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_member$l',type,'member$l': ('ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_ZF_fun_set$') > $o). 20.11/3.27 tff('predicate_member$l',axiom, 20.11/3.27 'member$l'('fmb_ZF_ZF_prod_ZF_fun$_1','fmb_ZF_ZF_prod_ZF_fun_set$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_category$a',type,'category$a': ('ZF_ZF_unit_Category_ext$') > $o). 20.11/3.27 tff('predicate_category$a',axiom, 20.11/3.27 'category$a'('fmb_ZF_ZF_unit_Category_ext$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_functorM$b',type,'functorM$b': ('ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$') > $o). 20.11/3.27 tff('predicate_functorM$b',axiom, 20.11/3.27 'functorM$b'('fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_category$',type,'category$': ('A_b_b_c_LSCategory_ext_Category_ext$') > $o). 20.11/3.27 tff('predicate_category$',axiom, 20.11/3.27 'category$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_functorM$a',type,'functorM$a': ('A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$') > $o). 20.11/3.27 tff('predicate_functorM$a',axiom, 20.11/3.27 'functorM$a'('fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$ck',type,'fun_app$ck': ('B_a_fun_bool_fun$' * 'B_a_fun$') > $o). 20.11/3.27 tff('predicate_fun_app$ck',axiom, 20.11/3.27 ~'fun_app$ck'('fmb_B_a_fun_bool_fun$_1','fmb_B_a_fun$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_less_eq$m',type,'less_eq$m': ('ZF_set_bool_fun$' * 'ZF_set_bool_fun$') > $o). 20.11/3.27 tff('predicate_less_eq$m',axiom, 20.11/3.27 'less_eq$m'('fmb_ZF_set_bool_fun$_1','fmb_ZF_set_bool_fun$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$h',type,'fun_app$h': ('ZF_set_bool_fun$' * 'ZF_set$') > $o). 20.11/3.27 tff('predicate_fun_app$h',axiom, 20.11/3.27 'fun_app$h'('fmb_ZF_set_bool_fun$_1','fmb_ZF_set$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_functor$b',type,'functor$b': ('ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$') > $o). 20.11/3.27 tff('predicate_functor$b',axiom, 20.11/3.27 'functor$b'('fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_functor$a',type,'functor$a': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$') > $o). 20.11/3.27 tff('predicate_functor$a',axiom, 20.11/3.27 'functor$a'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$f',type,'fun_app$f': ('ZF_bool_fun$' * 'ZF$') > $o). 20.11/3.27 tff('predicate_fun_app$f',axiom, 20.11/3.27 'fun_app$f'('fmb_ZF_bool_fun$_1','fmb_ZF$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_member$j',type,'member$j': ('B_b_prod$' * 'B_b_prod_set$') > $o). 20.11/3.27 tff('predicate_member$j',axiom, 20.11/3.27 'member$j'('fmb_B_b_prod$_1','fmb_B_b_prod_set$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_preFunctor$b',type,'preFunctor$b': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$') > $o). 20.11/3.27 tff('predicate_preFunctor$b',axiom, 20.11/3.27 ~'preFunctor$b'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_member$k',type,'member$k': ('B_b_prod_b_fun$' * 'B_b_prod_b_fun_set$') > $o). 20.11/3.27 tff('predicate_member$k',axiom, 20.11/3.27 ~'member$k'('fmb_B_b_prod_b_fun$_1','fmb_B_b_prod_b_fun_set$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_lSCategory_axioms$',type,'lSCategory_axioms$': ('A_b_b_c_LSCategory_ext_Category_ext$') > $o). 20.11/3.27 tff('predicate_lSCategory_axioms$',axiom, 20.11/3.27 'lSCategory_axioms$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_extCategory$a',type,'extCategory$a': ('A_b_b_c_LSCategory_ext_Category_ext$') > $o). 20.11/3.27 tff('predicate_extCategory$a',axiom, 20.11/3.27 ~'extCategory$a'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$ag',type,'fun_app$ag': ('Nat_bool_fun$' * 'Nat$') > $o). 20.11/3.27 tff('predicate_fun_app$ag',axiom, 20.11/3.27 'fun_app$ag'('fmb_Nat_bool_fun$_1','fmb_Nat$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_member$g',type,'member$g': ('B_ZF_fun$' * 'B_ZF_fun_set$') > $o). 20.11/3.27 tff('predicate_member$g',axiom, 20.11/3.27 'member$g'('fmb_B_ZF_fun$_1','fmb_B_ZF_fun_set$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_extCategory$',type,'extCategory$': ('ZF_ZF_unit_Category_ext$') > $o). 20.11/3.27 tff('predicate_extCategory$',axiom, 20.11/3.27 'extCategory$'('fmb_ZF_ZF_unit_Category_ext$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_less_eq$i',type,'less_eq$i': ('Nat_set$' * 'Nat_set$') > $o). 20.11/3.27 tff('predicate_less_eq$i',axiom, 20.11/3.27 ~'less_eq$i'('fmb_Nat_set$_1','fmb_Nat_set$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_category_axioms$',type,'category_axioms$': ('A_b_b_c_LSCategory_ext_Category_ext$') > $o). 20.11/3.27 tff('predicate_category_axioms$',axiom, 20.11/3.27 'category_axioms$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_functor_abbrev$',type,'functor_abbrev$': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$') > $o). 20.11/3.27 tff('predicate_functor_abbrev$',axiom, 20.11/3.27 'functor_abbrev$'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1','fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_ZF_ZF_unit_Category_ext$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_functorM$c',type,'functorM$c': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > $o). 20.11/3.27 tff('predicate_functorM$c',axiom, 20.11/3.27 'functorM$c'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_member$f',type,'member$f': ('ZF_ZF_fun$' * 'ZF_ZF_fun_set$') > $o). 20.11/3.27 tff('predicate_member$f',axiom, 20.11/3.27 'member$f'('fmb_ZF_ZF_fun$_1','fmb_ZF_ZF_fun_set$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_less_eq$',type,'less_eq$': ('A_set$' * 'A_set$') > $o). 20.11/3.27 tff('predicate_less_eq$',axiom, 20.11/3.27 'less_eq$'('fmb_A_set$_1','fmb_A_set$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_less_eq$j',type,'less_eq$j': ('A_bool_fun$' * 'A_bool_fun$') > $o). 20.11/3.27 tff('predicate_less_eq$j',axiom, 20.11/3.27 'less_eq$j'('fmb_A_bool_fun$_1','fmb_A_bool_fun$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_less_eq$a',type,'less_eq$a': ('B_set$' * 'B_set$') > $o). 20.11/3.27 tff('predicate_less_eq$a',axiom, 20.11/3.27 'less_eq$a'('fmb_B_set$_1','fmb_B_set$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$cl',type,'fun_app$cl': ('A_b_fun_bool_fun$' * 'A_b_fun$') > $o). 20.11/3.27 tff('predicate_fun_app$cl',axiom, 20.11/3.27 'fun_app$cl'('fmb_A_b_fun_bool_fun$_1','fmb_A_b_fun$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_sup$a',type,'sup$a': ('Bool_set$') > $o). 20.11/3.27 tff('predicate_sup$a',axiom, 20.11/3.27 'sup$a'('fmb_Bool_set$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_less_eq$l',type,'less_eq$l': ('ZF_bool_fun$' * 'ZF_bool_fun$') > $o). 20.11/3.27 tff('predicate_less_eq$l',axiom, 20.11/3.27 'less_eq$l'('fmb_ZF_bool_fun$_1','fmb_ZF_bool_fun$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$k',type,'fun_app$k': ('B_bool_fun$' * 'B$') > $o). 20.11/3.27 tff('predicate_fun_app$k',axiom, 20.11/3.27 'fun_app$k'('fmb_B_bool_fun$_1','fmb_B$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_member$i',type,'member$i': ('A_b_fun$' * 'A_b_fun_set$') > $o). 20.11/3.27 tff('predicate_member$i',axiom, 20.11/3.27 'member$i'('fmb_A_b_fun$_1','fmb_A_b_fun_set$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_less_eq$h',type,'less_eq$h': ('Nat_ZF_set_prod_set$' * 'Nat_ZF_set_prod_set$') > $o). 20.11/3.27 tff('predicate_less_eq$h',axiom, 20.11/3.27 'less_eq$h'('fmb_Nat_ZF_set_prod_set$_1','fmb_Nat_ZF_set_prod_set$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$al',type,'fun_app$al': ('B_b_prod_bool_fun$' * 'B_b_prod$') > $o). 20.11/3.27 tff('predicate_fun_app$al',axiom, 20.11/3.27 'fun_app$al'('fmb_B_b_prod_bool_fun$_1','fmb_B_b_prod$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_member$d',type,'member$d': ('ZF_ZF_prod$' * 'ZF_ZF_prod_set$') > $o). 20.11/3.27 tff('predicate_member$d',axiom, 20.11/3.27 'member$d'('fmb_ZF_ZF_prod$_1','fmb_ZF_ZF_prod_set$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_less_eq$d',type,'less_eq$d': ('ZF_set_ZF_set_prod_set$' * 'ZF_set_ZF_set_prod_set$') > $o). 20.11/3.27 tff('predicate_less_eq$d',axiom, 20.11/3.27 ~'less_eq$d'('fmb_ZF_set_ZF_set_prod_set$_1','fmb_ZF_set_ZF_set_prod_set$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_less_eq$g',type,'less_eq$g': ('ZF_ZF_prod_ZF_prod_set$' * 'ZF_ZF_prod_ZF_prod_set$') > $o). 20.11/3.27 tff('predicate_less_eq$g',axiom, 20.11/3.27 'less_eq$g'('fmb_ZF_ZF_prod_ZF_prod_set$_1','fmb_ZF_ZF_prod_ZF_prod_set$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_category_axioms$a',type,'category_axioms$a': ('ZF_ZF_unit_Category_ext$') > $o). 20.11/3.27 tff('predicate_category_axioms$a',axiom, 20.11/3.27 'category_axioms$a'('fmb_ZF_ZF_unit_Category_ext$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_preFunctor$a',type,'preFunctor$a': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > $o). 20.11/3.27 tff('predicate_preFunctor$a',axiom, 20.11/3.27 'preFunctor$a'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_functor$',type,'functor$': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > $o). 20.11/3.27 tff('predicate_functor$',axiom, 20.11/3.27 'functor$'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_less_eq$b',type,'less_eq$b': ('ZF_set_set$' * 'ZF_set_set$') > $o). 20.11/3.27 tff('predicate_less_eq$b',axiom, 20.11/3.27 'less_eq$b'('fmb_ZF_set_set$_1','fmb_ZF_set_set$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$n',type,'fun_app$n': ('A_bool_fun$' * 'A$') > $o). 20.11/3.27 tff('predicate_fun_app$n',axiom, 20.11/3.27 'fun_app$n'('fmb_A_bool_fun$_1','fmb_A$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_functor$c',type,'functor$c': ('ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$') > $o). 20.11/3.27 tff('predicate_functor$c',axiom, 20.11/3.27 'functor$c'('fmb_ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_member$e',type,'member$e': ('Nat$' * 'Nat_set$') > $o). 20.11/3.27 tff('predicate_member$e',axiom, 20.11/3.27 'member$e'('fmb_Nat$_1','fmb_Nat_set$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$j',type,'fun_app$j': ('ZF_set_set_bool_fun$' * 'ZF_set_set$') > $o). 20.11/3.27 tff('predicate_fun_app$j',axiom, 20.11/3.27 'fun_app$j'('fmb_ZF_set_set_bool_fun$_1','fmb_ZF_set_set$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$m',type,'fun_app$m': ('B_set_bool_fun$' * 'B_set$') > $o). 20.11/3.27 tff('predicate_fun_app$m',axiom, 20.11/3.27 'fun_app$m'('fmb_B_set_bool_fun$_1','fmb_B_set$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_preFunctor$',type,'preFunctor$': ('ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$') > $o). 20.11/3.27 tff('predicate_preFunctor$',axiom, 20.11/3.27 'preFunctor$'('fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_member$h',type,'member$h': ('B_a_fun$' * 'B_a_fun_set$') > $o). 20.11/3.27 tff('predicate_member$h',axiom, 20.11/3.27 ~'member$h'('fmb_B_a_fun$_1','fmb_B_a_fun_set$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$cj',type,'fun_app$cj': ('B_ZF_fun_bool_fun$' * 'B_ZF_fun$') > $o). 20.11/3.27 tff('predicate_fun_app$cj',axiom, 20.11/3.27 'fun_app$cj'('fmb_B_ZF_fun_bool_fun$_1','fmb_B_ZF_fun$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$p',type,'fun_app$p': ('A_set_bool_fun$' * 'A_set$') > $o). 20.11/3.27 tff('predicate_fun_app$p',axiom, 20.11/3.27 'fun_app$p'('fmb_A_set_bool_fun$_1','fmb_A_set$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 tff('declare_fun_app$ci',type,'fun_app$ci': ('ZF_ZF_fun_bool_fun$' * 'ZF_ZF_fun$') > $o). 20.11/3.27 tff('predicate_fun_app$ci',axiom, 20.11/3.27 'fun_app$ci'('fmb_ZF_ZF_fun_bool_fun$_1','fmb_ZF_ZF_fun$_1') 20.11/3.27 20.11/3.27 ). 20.11/3.27 20.11/3.27 % SZS output end FiniteModel for theBenchmark 20.11/3.27 % (14098)------------------------------ 20.11/3.27 % (14098)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 20.11/3.27 % (14098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 20.11/3.27 % (14098)Termination reason: Satisfiable 20.11/3.27 20.11/3.27 % (14098)Time elapsed: 2.763 s 20.11/3.27 % (14098)Peak memory usage: 90 MB 20.11/3.27 % (14098)Instructions burned: 11169 (million) 20.11/3.27 % (14098)------------------------------ 20.11/3.27 % (14098)------------------------------ 20.11/3.27 % (14096)Success in time 2.904 s 20.11/3.27 EOF