0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : run_vampire %s %d SAT 0.12/0.33 % Computer : n024.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 06:14:19 EDT 2025 0.12/0.33 % CPUTime : 0.12/0.35 This is a TFF_ problem 0.12/0.36 Running first-order model finding 0.12/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc --intent sat -m 16384 --cores 7 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.21/0.46 % (11108)Running in auto input_syntax mode. Trying TPTP 0.21/0.46 % (11114)ott+31_1_sil=16000:bce=on:lcm=predicate:newcnf=on:random_seed=4198876664:i=116_1199 on theBenchmark for (1199ds/116Mi) 0.21/0.46 % (11108)Running in auto input_syntax mode. Trying TPTP 0.21/0.46 % (11116)ott-3_16_to=lpo:sil=16000:sp=arity:abs=on:fd=off:rp=on:random_seed=4190873441:i=159:nicw=on:bs=unit_only:fsr=off:amm=off_1199 on theBenchmark for (1199ds/159Mi) 0.21/0.46 % (11108)Running in auto input_syntax mode. Trying TPTP 0.21/0.46 % (11115)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1300602802:i=131_1199 on theBenchmark for (1199ds/131Mi) 0.21/0.47 % (11108)Running in auto input_syntax mode. Trying TPTP 0.21/0.47 % (11113)dis+10_1_sil=32000:sp=arity:random_seed=3777390939:i=103:fgj=on_1199 on theBenchmark for (1199ds/103Mi) 0.21/0.47 % (11108)Running in auto input_syntax mode. Trying TPTP 0.21/0.47 % (11110)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2040228673_1199 on theBenchmark for (1199ds/0Mi) 0.21/0.48 % (11108)Running in auto input_syntax mode. Trying TPTP 0.21/0.48 % (11111)dis+11_61:31_drc=ordering:lsd=5:abs=on:bsr=unit_only:rp=on:newcnf=on:random_seed=1596162560:i=135531:add=off:rawr=on_1199 on theBenchmark for (1199ds/135531Mi) 0.21/0.49 % (11108)Running in auto input_syntax mode. Trying TPTP 0.21/0.49 % (11112)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3968845360:gsem=randomized:i=88024:add=on:uhcvi=off:rawr=on_1199 on theBenchmark for (1199ds/88024Mi) 0.21/0.50 % (11114)Instruction limit reached! 0.21/0.50 % (11114)------------------------------ 0.21/0.50 % (11114)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.21/0.50 % (11114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.21/0.50 % (11114)Termination reason: Instruction limit 0.21/0.50 % (11114)Termination phase: Saturation 0.21/0.50 0.21/0.50 % (11114)Time elapsed: 0.035 s 0.21/0.50 % (11114)Peak memory usage: 9 MB 0.21/0.50 % (11114)Instructions burned: 116 (million) 0.21/0.51 % (11113)Instruction limit reached! 0.21/0.51 % (11113)------------------------------ 0.21/0.51 % (11113)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.21/0.51 % (11113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.21/0.51 % (11113)Termination reason: Instruction limit 0.21/0.51 % (11113)Termination phase: Saturation 0.21/0.51 0.21/0.51 % (11113)Time elapsed: 0.037 s 0.21/0.51 % (11113)Peak memory usage: 10 MB 0.21/0.51 % (11113)Instructions burned: 104 (million) 0.21/0.52 % (11115)Instruction limit reached! 0.21/0.52 % (11115)------------------------------ 0.21/0.52 % (11115)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.21/0.52 % (11115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.21/0.52 % (11115)Termination reason: Instruction limit 0.21/0.52 % (11115)Termination phase: Saturation 0.21/0.52 0.21/0.52 % (11115)Time elapsed: 0.059 s 0.21/0.52 % (11115)Peak memory usage: 10 MB 0.21/0.52 % (11115)Instructions burned: 132 (million) 0.21/0.54 % (11116)Instruction limit reached! 0.21/0.54 % (11116)------------------------------ 0.21/0.54 % (11116)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.21/0.54 % (11116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.21/0.54 % (11116)Termination reason: Instruction limit 0.21/0.54 % (11116)Termination phase: Saturation 0.21/0.54 0.21/0.54 % (11116)Time elapsed: 0.077 s 0.21/0.54 % (11116)Peak memory usage: 11 MB 0.21/0.54 % (11116)Instructions burned: 161 (million) 0.21/0.55 % (11108)Running in auto input_syntax mode. Trying TPTP 0.21/0.55 % (11125)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1558660274:i=131:bd=preordered:fsd=on_1198 on theBenchmark for (1198ds/131Mi) 0.21/0.56 % (11108)Running in auto input_syntax mode. Trying TPTP 0.21/0.56 % (11124)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4200492694:i=714:nm=2_1198 on theBenchmark for (1198ds/714Mi) 0.21/0.57 % (11108)Running in auto input_syntax mode. Trying TPTP 0.21/0.57 % (11126)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=2433555924:i=684:slsql=off:nicw=on:bs=unit_only:rawr=on_1198 on theBenchmark for (1198ds/684Mi) 0.21/0.58 % (11108)Running in auto input_syntax mode. Trying TPTP 0.21/0.58 % (11127)ott-21_1_sil=16000:fs=off:random_seed=3619380471:i=180:av=off:fsr=off_1198 on theBenchmark for (1198ds/180Mi) 0.21/0.59 % (11125)Instruction limit reached! 0.21/0.59 % (11125)------------------------------ 0.21/0.59 % (11125)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.21/0.59 % (11125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.21/0.59 % (11125)Termination reason: Instruction limit 0.21/0.59 % (11125)Termination phase: Saturation 0.21/0.59 0.21/0.59 % (11125)Time elapsed: 0.034 s 0.21/0.59 % (11125)Peak memory usage: 10 MB 0.21/0.59 % (11125)Instructions burned: 132 (million) 1.63/0.63 % (11108)Running in auto input_syntax mode. Trying TPTP 1.63/0.63 % (11132)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3022866104:i=477:bd=all_1197 on theBenchmark for (1197ds/477Mi) 1.72/0.63 % (11127)Instruction limit reached! 1.72/0.63 % (11127)------------------------------ 1.72/0.63 % (11127)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.72/0.63 % (11127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.72/0.63 % (11127)Termination reason: Instruction limit 1.72/0.63 % (11127)Termination phase: Saturation 1.72/0.63 1.72/0.63 % (11127)Time elapsed: 0.048 s 1.72/0.63 % (11127)Peak memory usage: 10 MB 1.72/0.63 % (11127)Instructions burned: 182 (million) 1.72/0.68 % (11108)Running in auto input_syntax mode. Trying TPTP 1.72/0.68 % (11134)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2138257699:fmbsr=1.3:i=865:ins=25_1197 on theBenchmark for (1197ds/865Mi) 2.15/0.78 % (11126)Instruction limit reached! 2.15/0.78 % (11126)------------------------------ 2.15/0.78 % (11126)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.15/0.78 % (11126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.15/0.78 % (11126)Termination reason: Instruction limit 2.15/0.78 % (11126)Termination phase: Saturation 2.15/0.78 2.15/0.78 % (11126)Time elapsed: 0.209 s 2.15/0.78 % (11126)Peak memory usage: 16 MB 2.15/0.78 % (11126)Instructions burned: 685 (million) 2.49/0.80 % (11132)Instruction limit reached! 2.49/0.80 % (11132)------------------------------ 2.49/0.80 % (11132)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.49/0.80 % (11132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.49/0.80 % (11132)Termination reason: Instruction limit 2.49/0.80 % (11132)Termination phase: Saturation 2.49/0.80 2.49/0.80 % (11132)Time elapsed: 0.173 s 2.49/0.80 % (11132)Peak memory usage: 12 MB 2.49/0.80 % (11132)Instructions burned: 477 (million) 2.49/0.82 % (11108)Running in auto input_syntax mode. Trying TPTP 2.49/0.82 % (11136)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2047047842:i=1179_1195 on theBenchmark for (1195ds/1179Mi) 2.49/0.84 % (11124)Instruction limit reached! 2.49/0.84 % (11124)------------------------------ 2.49/0.84 % (11124)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.49/0.84 % (11124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.49/0.84 % (11124)Termination reason: Instruction limit 2.49/0.84 % (11124)Termination phase: Finite model building preprocessing 2.49/0.84 2.49/0.84 % (11124)Time elapsed: 0.280 s 2.49/0.84 % (11124)Peak memory usage: 16 MB 2.49/0.84 % (11124)Instructions burned: 714 (million) 3.03/0.87 % (11108)Running in auto input_syntax mode. Trying TPTP 3.03/0.87 % (11137)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=932358223:i=889:ins=1_1195 on theBenchmark for (1195ds/889Mi) 3.08/0.89 % (11108)Running in auto input_syntax mode. Trying TPTP 3.08/0.89 % (11139)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=3057163527: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) 3.48/1.04 % (11134)Instruction limit reached! 3.48/1.04 % (11134)------------------------------ 3.48/1.04 % (11134)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.48/1.04 % (11134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.48/1.04 % (11134)Termination reason: Instruction limit 3.48/1.04 % (11134)Termination phase: Finite model building preprocessing 3.48/1.04 3.48/1.04 % (11134)Time elapsed: 0.362 s 3.48/1.04 % (11134)Peak memory usage: 20 MB 3.48/1.04 % (11134)Instructions burned: 866 (million) 4.07/1.11 % (11108)Running in auto input_syntax mode. Trying TPTP 4.07/1.11 % (11142)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3528478125:i=879:kws=inv_precedence:fsr=off_1193 on theBenchmark for (1193ds/879Mi) 4.07/1.12 % (11139)Instruction limit reached! 4.07/1.12 % (11139)------------------------------ 4.07/1.12 % (11139)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 4.07/1.12 % (11139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.07/1.12 % (11139)Termination reason: Instruction limit 4.07/1.12 % (11139)Termination phase: Saturation 4.07/1.12 4.07/1.12 % (11139)Time elapsed: 0.235 s 4.07/1.12 % (11139)Peak memory usage: 18 MB 4.07/1.12 % (11139)Instructions burned: 694 (million) 4.07/1.17 % (11108)Running in auto input_syntax mode. Trying TPTP 4.07/1.17 % (11144)fmb+10_1_sil=64000:random_seed=1302770625:i=22061:nm=2:gsp=on_1192 on theBenchmark for (1192ds/22061Mi) 5.62/1.21 % (11137)Instruction limit reached! 5.62/1.21 % (11137)------------------------------ 5.62/1.21 % (11137)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 5.62/1.21 % (11137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.62/1.21 % (11137)Termination reason: Instruction limit 5.62/1.21 % (11137)Termination phase: Finite model building preprocessing 5.62/1.21 5.62/1.21 % (11137)Time elapsed: 0.336 s 5.62/1.21 % (11137)Peak memory usage: 20 MB 5.62/1.21 % (11137)Instructions burned: 889 (million) 5.90/1.26 % (11136)Instruction limit reached! 5.90/1.26 % (11136)------------------------------ 5.90/1.26 % (11136)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 5.90/1.26 % (11136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.90/1.26 % (11136)Termination reason: Instruction limit 5.90/1.26 % (11136)Termination phase: Saturation 5.90/1.26 5.90/1.26 % (11136)Time elapsed: 0.436 s 5.90/1.26 % (11136)Peak memory usage: 21 MB 5.90/1.26 % (11136)Instructions burned: 1179 (million) 5.90/1.29 % (11108)Running in auto input_syntax mode. Trying TPTP 5.90/1.29 % (11146)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3961660268:i=9515:nm=5_1191 on theBenchmark for (1191ds/9515Mi) 6.30/1.31 % (11108)Running in auto input_syntax mode. Trying TPTP 6.30/1.31 % (11147)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3260085910:fmbsr=1.7:i=920_1191 on theBenchmark for (1191ds/920Mi) 6.62/1.43 % (11142)Instruction limit reached! 6.62/1.43 % (11142)------------------------------ 6.62/1.43 % (11142)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.62/1.43 % (11142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.62/1.43 % (11142)Termination reason: Instruction limit 6.62/1.43 % (11142)Termination phase: Saturation 6.62/1.43 6.62/1.43 % (11142)Time elapsed: 0.319 s 6.62/1.43 % (11142)Peak memory usage: 14 MB 6.62/1.43 % (11142)Instructions burned: 881 (million) 7.18/1.50 % (11108)Running in auto input_syntax mode. Trying TPTP 7.18/1.50 % (11150)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=381676489:i=5131_1189 on theBenchmark for (1189ds/5131Mi) 7.34/1.58 % (11147)Instruction limit reached! 7.34/1.58 % (11147)------------------------------ 7.34/1.58 % (11147)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 7.34/1.58 % (11147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.34/1.58 % (11147)Termination reason: Instruction limit 7.34/1.58 % (11147)Termination phase: Finite model building preprocessing 7.34/1.58 7.34/1.58 % (11147)Time elapsed: 0.272 s 7.34/1.58 % (11147)Peak memory usage: 20 MB 7.34/1.58 % (11147)Instructions burned: 921 (million) 7.95/1.63 % (11108)Running in auto input_syntax mode. Trying TPTP 7.95/1.63 % (11152)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1659334876:i=1472:afp=4000:ins=7:aer=on:uhcvi=off:fdi=8:gsp=on_1187 on theBenchmark for (1187ds/1472Mi) 11.18/2.05 % (11152)Instruction limit reached! 11.18/2.05 % (11152)------------------------------ 11.18/2.05 % (11152)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 11.18/2.05 % (11152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.18/2.05 % (11152)Termination reason: Instruction limit 11.18/2.05 % (11152)Termination phase: Saturation 11.18/2.05 11.18/2.05 % (11152)Time elapsed: 0.423 s 11.18/2.05 % (11152)Peak memory usage: 21 MB 11.18/2.05 % (11152)Instructions burned: 1474 (million) 12.10/2.14 % (11108)Running in auto input_syntax mode. Trying TPTP 12.10/2.14 % (11154)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=152851572:i=6324_1183 on theBenchmark for (1183ds/6324Mi) 12.10/2.15 % TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] 12.10/2.16 % Finite Model Found! 12.10/2.16 % SZS status Satisfiable for theBenchmark 12.10/2.17 % (11144)First to succeed. 12.10/2.17 % (11144)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11108" 12.10/2.17 % (11108)Running in auto input_syntax mode. Trying TPTP 12.10/2.17 % SZS output start FiniteModel for theBenchmark 12.10/2.17 tff('declare_$i1',type,'fmb_$i_1':$i). 12.10/2.17 tff('finite_domain_$i',axiom, 12.10/2.17 ! [X:$i] : ( 12.10/2.17 X = 'fmb_$i_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_B_ZF_fun_set$',type,'B_ZF_fun_set$':$tType). 12.10/2.17 tff('declare_B_ZF_fun_set$1',type,'fmb_B_ZF_fun_set$_1':'B_ZF_fun_set$'). 12.10/2.17 tff('finite_domain_B_ZF_fun_set$',axiom, 12.10/2.17 ! [X:'B_ZF_fun_set$'] : ( 12.10/2.17 X = 'fmb_B_ZF_fun_set$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$',type,'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$':$tType). 12.10/2.17 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$'). 12.10/2.17 tff('finite_domain_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$',axiom, 12.10/2.17 ! [X:'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'] : ( 12.10/2.17 X = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_Unit_set$',type,'Unit_set$':$tType). 12.10/2.17 tff('declare_Unit_set$1',type,'fmb_Unit_set$_1':'Unit_set$'). 12.10/2.17 tff('finite_domain_Unit_set$',axiom, 12.10/2.17 ! [X:'Unit_set$'] : ( 12.10/2.17 X = 'fmb_Unit_set$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$',type,'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$':$tType). 12.10/2.17 tff('declare_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$1',type,'fmb_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$_1':'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$'). 12.10/2.17 tff('finite_domain_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$',axiom, 12.10/2.17 ! [X:'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$'] : ( 12.10/2.17 X = 'fmb_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$',type,'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$':$tType). 12.10/2.17 tff('declare_B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$1',type,'fmb_B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$_1':'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$'). 12.10/2.17 tff('finite_domain_B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$',axiom, 12.10/2.17 ! [X:'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$'] : ( 12.10/2.17 X = 'fmb_B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_ZF_set$',type,'ZF_set$':$tType). 12.10/2.17 tff('declare_ZF_set$1',type,'fmb_ZF_set$_1':'ZF_set$'). 12.10/2.17 tff('finite_domain_ZF_set$',axiom, 12.10/2.17 ! [X:'ZF_set$'] : ( 12.10/2.17 X = 'fmb_ZF_set$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$',type,'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$':$tType). 12.10/2.17 tff('declare_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$1',type,'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1':'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('finite_domain_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$',axiom, 12.10/2.17 ! [X:'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$'] : ( 12.10/2.17 X = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$',type,'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$':$tType). 12.10/2.17 tff('declare_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$1',type,'fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$_1':'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$'). 12.10/2.17 tff('finite_domain_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$',axiom, 12.10/2.17 ! [X:'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$'] : ( 12.10/2.17 X = 'fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 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). 12.10/2.17 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$'). 12.10/2.17 tff('finite_domain_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',axiom, 12.10/2.17 ! [X:'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'] : ( 12.10/2.17 X = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_Unit_unit_fun$',type,'Unit_unit_fun$':$tType). 12.10/2.17 tff('declare_Unit_unit_fun$1',type,'fmb_Unit_unit_fun$_1':'Unit_unit_fun$'). 12.10/2.17 tff('finite_domain_Unit_unit_fun$',axiom, 12.10/2.17 ! [X:'Unit_unit_fun$'] : ( 12.10/2.17 X = 'fmb_Unit_unit_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_A_b_b_c_LSCategory_ext_Category_ext$',type,'A_b_b_c_LSCategory_ext_Category_ext$':$tType). 12.10/2.17 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$'). 12.10/2.17 tff('finite_domain_A_b_b_c_LSCategory_ext_Category_ext$',axiom, 12.10/2.17 ! [X:'A_b_b_c_LSCategory_ext_Category_ext$'] : ( 12.10/2.17 X = 'fmb_A_b_b_c_LSCategory_ext_Category_ext$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_ZF_ZF_prod_set$',type,'ZF_ZF_prod_set$':$tType). 12.10/2.17 tff('declare_ZF_ZF_prod_set$1',type,'fmb_ZF_ZF_prod_set$_1':'ZF_ZF_prod_set$'). 12.10/2.17 tff('finite_domain_ZF_ZF_prod_set$',axiom, 12.10/2.17 ! [X:'ZF_ZF_prod_set$'] : ( 12.10/2.17 X = 'fmb_ZF_ZF_prod_set$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$',type,'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$':$tType). 12.10/2.17 tff('declare_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$1',type,'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$_1':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$'). 12.10/2.17 tff('finite_domain_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$',axiom, 12.10/2.17 ! [X:'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$'] : ( 12.10/2.17 X = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_ZF_set_set$',type,'ZF_set_set$':$tType). 12.10/2.17 tff('declare_ZF_set_set$1',type,'fmb_ZF_set_set$_1':'ZF_set_set$'). 12.10/2.17 tff('finite_domain_ZF_set_set$',axiom, 12.10/2.17 ! [X:'ZF_set_set$'] : ( 12.10/2.17 X = 'fmb_ZF_set_set$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$',type,'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$':$tType). 12.10/2.17 tff('declare_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$1',type,'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$_1':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$'). 12.10/2.17 tff('finite_domain_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$',axiom, 12.10/2.17 ! [X:'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$'] : ( 12.10/2.17 X = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_ZF_set_ZF_set_fun$',type,'ZF_set_ZF_set_fun$':$tType). 12.10/2.17 tff('declare_ZF_set_ZF_set_fun$1',type,'fmb_ZF_set_ZF_set_fun$_1':'ZF_set_ZF_set_fun$'). 12.10/2.17 tff('finite_domain_ZF_set_ZF_set_fun$',axiom, 12.10/2.17 ! [X:'ZF_set_ZF_set_fun$'] : ( 12.10/2.17 X = 'fmb_ZF_set_ZF_set_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$',type,'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$':$tType). 12.10/2.17 tff('declare_A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$1',type,'fmb_A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$_1':'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$'). 12.10/2.17 tff('finite_domain_A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$',axiom, 12.10/2.17 ! [X:'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$'] : ( 12.10/2.17 X = 'fmb_A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_ZF_ZF_set_fun$',type,'ZF_ZF_set_fun$':$tType). 12.10/2.17 tff('declare_ZF_ZF_set_fun$1',type,'fmb_ZF_ZF_set_fun$_1':'ZF_ZF_set_fun$'). 12.10/2.17 tff('finite_domain_ZF_ZF_set_fun$',axiom, 12.10/2.17 ! [X:'ZF_ZF_set_fun$'] : ( 12.10/2.17 X = 'fmb_ZF_ZF_set_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$',type,'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$':$tType). 12.10/2.17 tff('declare_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$1',type,'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('finite_domain_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$',axiom, 12.10/2.17 ! [X:'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'] : ( 12.10/2.17 X = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_A_b_fun_set$',type,'A_b_fun_set$':$tType). 12.10/2.17 tff('declare_A_b_fun_set$1',type,'fmb_A_b_fun_set$_1':'A_b_fun_set$'). 12.10/2.17 tff('finite_domain_A_b_fun_set$',axiom, 12.10/2.17 ! [X:'A_b_fun_set$'] : ( 12.10/2.17 X = 'fmb_A_b_fun_set$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_ZF_ZF_prod_ZF_fun$',type,'ZF_ZF_prod_ZF_fun$':$tType). 12.10/2.17 tff('declare_ZF_ZF_prod_ZF_fun$1',type,'fmb_ZF_ZF_prod_ZF_fun$_1':'ZF_ZF_prod_ZF_fun$'). 12.10/2.17 tff('finite_domain_ZF_ZF_prod_ZF_fun$',axiom, 12.10/2.17 ! [X:'ZF_ZF_prod_ZF_fun$'] : ( 12.10/2.17 X = 'fmb_ZF_ZF_prod_ZF_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$',type,'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$':$tType). 12.10/2.17 tff('declare_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$1',type,'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$_1':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$'). 12.10/2.17 tff('finite_domain_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$',axiom, 12.10/2.17 ! [X:'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$'] : ( 12.10/2.17 X = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_B_c_LSCategory_ext$',type,'B_c_LSCategory_ext$':$tType). 12.10/2.17 tff('declare_B_c_LSCategory_ext$1',type,'fmb_B_c_LSCategory_ext$_1':'B_c_LSCategory_ext$'). 12.10/2.17 tff('finite_domain_B_c_LSCategory_ext$',axiom, 12.10/2.17 ! [X:'B_c_LSCategory_ext$'] : ( 12.10/2.17 X = 'fmb_B_c_LSCategory_ext$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_B_b_fun$',type,'B_b_fun$':$tType). 12.10/2.17 tff('declare_B_b_fun$1',type,'fmb_B_b_fun$_1':'B_b_fun$'). 12.10/2.17 tff('finite_domain_B_b_fun$',axiom, 12.10/2.17 ! [X:'B_b_fun$'] : ( 12.10/2.17 X = 'fmb_B_b_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$',type,'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$':$tType). 12.10/2.17 tff('declare_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$1',type,'fmb_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$_1':'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('finite_domain_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$',axiom, 12.10/2.17 ! [X:'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$'] : ( 12.10/2.17 X = 'fmb_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$',type,'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$':$tType). 12.10/2.17 tff('declare_ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$1',type,'fmb_ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$_1':'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('finite_domain_ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$',axiom, 12.10/2.17 ! [X:'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$'] : ( 12.10/2.17 X = 'fmb_ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$',type,'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$':$tType). 12.10/2.17 tff('declare_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$1',type,'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$_1':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$'). 12.10/2.17 tff('finite_domain_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$',axiom, 12.10/2.17 ! [X:'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$'] : ( 12.10/2.17 X = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$',type,'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$':$tType). 12.10/2.17 tff('declare_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$1',type,'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$_1':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$'). 12.10/2.17 tff('finite_domain_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$',axiom, 12.10/2.17 ! [X:'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$'] : ( 12.10/2.17 X = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 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). 12.10/2.17 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$'). 12.10/2.17 tff('finite_domain_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$',axiom, 12.10/2.17 ! [X:'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'] : ( 12.10/2.17 X = 'fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$',type,'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$':$tType). 12.10/2.17 tff('declare_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$1',type,'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$_1':'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$'). 12.10/2.17 tff('finite_domain_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$',axiom, 12.10/2.17 ! [X:'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$'] : ( 12.10/2.17 X = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$',type,'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$':$tType). 12.10/2.17 tff('declare_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$1',type,'fmb_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$_1':'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$'). 12.10/2.17 tff('finite_domain_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$',axiom, 12.10/2.17 ! [X:'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$'] : ( 12.10/2.17 X = 'fmb_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_ZF_ZF_prod$',type,'ZF_ZF_prod$':$tType). 12.10/2.17 tff('declare_ZF_ZF_prod$1',type,'fmb_ZF_ZF_prod$_1':'ZF_ZF_prod$'). 12.10/2.17 tff('finite_domain_ZF_ZF_prod$',axiom, 12.10/2.17 ! [X:'ZF_ZF_prod$'] : ( 12.10/2.17 X = 'fmb_ZF_ZF_prod$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_B_b_prod_set$',type,'B_b_prod_set$':$tType). 12.10/2.17 tff('declare_B_b_prod_set$1',type,'fmb_B_b_prod_set$_1':'B_b_prod_set$'). 12.10/2.17 tff('finite_domain_B_b_prod_set$',axiom, 12.10/2.17 ! [X:'B_b_prod_set$'] : ( 12.10/2.17 X = 'fmb_B_b_prod_set$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_B$',type,'B$':$tType). 12.10/2.17 tff('declare_B$1',type,'fmb_B$_1':'B$'). 12.10/2.17 tff('finite_domain_B$',axiom, 12.10/2.17 ! [X:'B$'] : ( 12.10/2.17 X = 'fmb_B$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_A_ZF_fun_set$',type,'A_ZF_fun_set$':$tType). 12.10/2.17 tff('declare_A_ZF_fun_set$1',type,'fmb_A_ZF_fun_set$_1':'A_ZF_fun_set$'). 12.10/2.17 tff('finite_domain_A_ZF_fun_set$',axiom, 12.10/2.17 ! [X:'A_ZF_fun_set$'] : ( 12.10/2.17 X = 'fmb_A_ZF_fun_set$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_ZF_ZF_ZF_fun_fun$',type,'ZF_ZF_ZF_fun_fun$':$tType). 12.10/2.17 tff('declare_ZF_ZF_ZF_fun_fun$1',type,'fmb_ZF_ZF_ZF_fun_fun$_1':'ZF_ZF_ZF_fun_fun$'). 12.10/2.17 tff('finite_domain_ZF_ZF_ZF_fun_fun$',axiom, 12.10/2.17 ! [X:'ZF_ZF_ZF_fun_fun$'] : ( 12.10/2.17 X = 'fmb_ZF_ZF_ZF_fun_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$',type,'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$':$tType). 12.10/2.17 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$'). 12.10/2.17 tff('finite_domain_ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$',axiom, 12.10/2.17 ! [X:'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$'] : ( 12.10/2.17 X = 'fmb_ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_Unit_unit_unit_Category_ext$',type,'Unit_unit_unit_Category_ext$':$tType). 12.10/2.17 tff('declare_Unit_unit_unit_Category_ext$1',type,'fmb_Unit_unit_unit_Category_ext$_1':'Unit_unit_unit_Category_ext$'). 12.10/2.17 tff('finite_domain_Unit_unit_unit_Category_ext$',axiom, 12.10/2.17 ! [X:'Unit_unit_unit_Category_ext$'] : ( 12.10/2.17 X = 'fmb_Unit_unit_unit_Category_ext$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_C$',type,'C$':$tType). 12.10/2.17 tff('declare_C$1',type,'fmb_C$_1':'C$'). 12.10/2.17 tff('finite_domain_C$',axiom, 12.10/2.17 ! [X:'C$'] : ( 12.10/2.17 X = 'fmb_C$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_A_ZF_fun_bool_fun$',type,'A_ZF_fun_bool_fun$':$tType). 12.10/2.17 tff('declare_A_ZF_fun_bool_fun$1',type,'fmb_A_ZF_fun_bool_fun$_1':'A_ZF_fun_bool_fun$'). 12.10/2.17 tff('finite_domain_A_ZF_fun_bool_fun$',axiom, 12.10/2.17 ! [X:'A_ZF_fun_bool_fun$'] : ( 12.10/2.17 X = 'fmb_A_ZF_fun_bool_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_B_b_prod_bool_fun$',type,'B_b_prod_bool_fun$':$tType). 12.10/2.17 tff('declare_B_b_prod_bool_fun$1',type,'fmb_B_b_prod_bool_fun$_1':'B_b_prod_bool_fun$'). 12.10/2.17 tff('finite_domain_B_b_prod_bool_fun$',axiom, 12.10/2.17 ! [X:'B_b_prod_bool_fun$'] : ( 12.10/2.17 X = 'fmb_B_b_prod_bool_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_ZF_ZF_prod_ZF_fun_set$',type,'ZF_ZF_prod_ZF_fun_set$':$tType). 12.10/2.17 tff('declare_ZF_ZF_prod_ZF_fun_set$1',type,'fmb_ZF_ZF_prod_ZF_fun_set$_1':'ZF_ZF_prod_ZF_fun_set$'). 12.10/2.17 tff('finite_domain_ZF_ZF_prod_ZF_fun_set$',axiom, 12.10/2.17 ! [X:'ZF_ZF_prod_ZF_fun_set$'] : ( 12.10/2.17 X = 'fmb_ZF_ZF_prod_ZF_fun_set$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_ZF_ZF_fun$',type,'ZF_ZF_fun$':$tType). 12.10/2.17 tff('declare_ZF_ZF_fun$1',type,'fmb_ZF_ZF_fun$_1':'ZF_ZF_fun$'). 12.10/2.17 tff('finite_domain_ZF_ZF_fun$',axiom, 12.10/2.17 ! [X:'ZF_ZF_fun$'] : ( 12.10/2.17 X = 'fmb_ZF_ZF_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_ZF_ZF_prod_bool_fun$',type,'ZF_ZF_prod_bool_fun$':$tType). 12.10/2.17 tff('declare_ZF_ZF_prod_bool_fun$1',type,'fmb_ZF_ZF_prod_bool_fun$_1':'ZF_ZF_prod_bool_fun$'). 12.10/2.17 tff('finite_domain_ZF_ZF_prod_bool_fun$',axiom, 12.10/2.17 ! [X:'ZF_ZF_prod_bool_fun$'] : ( 12.10/2.17 X = 'fmb_ZF_ZF_prod_bool_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$',type,'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$':$tType). 12.10/2.17 tff('declare_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$1',type,'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$_1':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$'). 12.10/2.17 tff('finite_domain_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$',axiom, 12.10/2.17 ! [X:'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$'] : ( 12.10/2.17 X = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_ZF_ZF_fun_set$',type,'ZF_ZF_fun_set$':$tType). 12.10/2.17 tff('declare_ZF_ZF_fun_set$1',type,'fmb_ZF_ZF_fun_set$_1':'ZF_ZF_fun_set$'). 12.10/2.17 tff('finite_domain_ZF_ZF_fun_set$',axiom, 12.10/2.17 ! [X:'ZF_ZF_fun_set$'] : ( 12.10/2.17 X = 'fmb_ZF_ZF_fun_set$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_B_b_prod_b_fun_set$',type,'B_b_prod_b_fun_set$':$tType). 12.10/2.17 tff('declare_B_b_prod_b_fun_set$1',type,'fmb_B_b_prod_b_fun_set$_1':'B_b_prod_b_fun_set$'). 12.10/2.17 tff('finite_domain_B_b_prod_b_fun_set$',axiom, 12.10/2.17 ! [X:'B_b_prod_b_fun_set$'] : ( 12.10/2.17 X = 'fmb_B_b_prod_b_fun_set$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_B_a_fun$',type,'B_a_fun$':$tType). 12.10/2.17 tff('declare_B_a_fun$1',type,'fmb_B_a_fun$_1':'B_a_fun$'). 12.10/2.17 tff('finite_domain_B_a_fun$',axiom, 12.10/2.17 ! [X:'B_a_fun$'] : ( 12.10/2.17 X = 'fmb_B_a_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$',type,'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$':$tType). 12.10/2.17 tff('declare_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$1',type,'fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$_1':'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$'). 12.10/2.17 tff('finite_domain_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$',axiom, 12.10/2.17 ! [X:'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$'] : ( 12.10/2.17 X = 'fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_B_b_prod$',type,'B_b_prod$':$tType). 12.10/2.17 tff('declare_B_b_prod$1',type,'fmb_B_b_prod$_1':'B_b_prod$'). 12.10/2.17 tff('finite_domain_B_b_prod$',axiom, 12.10/2.17 ! [X:'B_b_prod$'] : ( 12.10/2.17 X = 'fmb_B_b_prod$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_ZF_ZF_fun_ZF_ZF_fun_fun$',type,'ZF_ZF_fun_ZF_ZF_fun_fun$':$tType). 12.10/2.17 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$'). 12.10/2.17 tff('finite_domain_ZF_ZF_fun_ZF_ZF_fun_fun$',axiom, 12.10/2.17 ! [X:'ZF_ZF_fun_ZF_ZF_fun_fun$'] : ( 12.10/2.17 X = 'fmb_ZF_ZF_fun_ZF_ZF_fun_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun$',type,'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun$':$tType). 12.10/2.17 tff('declare_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun$1',type,'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun$_1':'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun$'). 12.10/2.17 tff('finite_domain_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun$',axiom, 12.10/2.17 ! [X:'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun$'] : ( 12.10/2.17 X = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$',type,'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$':$tType). 12.10/2.17 tff('declare_ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$1',type,'fmb_ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$_1':'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$'). 12.10/2.17 tff('finite_domain_ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$',axiom, 12.10/2.17 ! [X:'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$'] : ( 12.10/2.17 X = 'fmb_ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_A_bool_fun$',type,'A_bool_fun$':$tType). 12.10/2.17 tff('declare_A_bool_fun$1',type,'fmb_A_bool_fun$_1':'A_bool_fun$'). 12.10/2.17 tff('finite_domain_A_bool_fun$',axiom, 12.10/2.17 ! [X:'A_bool_fun$'] : ( 12.10/2.17 X = 'fmb_A_bool_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_A_set$',type,'A_set$':$tType). 12.10/2.17 tff('declare_A_set$1',type,'fmb_A_set$_1':'A_set$'). 12.10/2.17 tff('finite_domain_A_set$',axiom, 12.10/2.17 ! [X:'A_set$'] : ( 12.10/2.17 X = 'fmb_A_set$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 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). 12.10/2.17 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$'). 12.10/2.17 tff('finite_domain_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$',axiom, 12.10/2.17 ! [X:'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'] : ( 12.10/2.17 X = 'fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_A_b_fun$',type,'A_b_fun$':$tType). 12.10/2.17 tff('declare_A_b_fun$1',type,'fmb_A_b_fun$_1':'A_b_fun$'). 12.10/2.17 tff('finite_domain_A_b_fun$',axiom, 12.10/2.17 ! [X:'A_b_fun$'] : ( 12.10/2.17 X = 'fmb_A_b_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$',type,'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$':$tType). 12.10/2.17 tff('declare_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$1',type,'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$_1':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$'). 12.10/2.17 tff('finite_domain_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$',axiom, 12.10/2.17 ! [X:'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$'] : ( 12.10/2.17 X = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_B_set$',type,'B_set$':$tType). 12.10/2.17 tff('declare_B_set$1',type,'fmb_B_set$_1':'B_set$'). 12.10/2.17 tff('finite_domain_B_set$',axiom, 12.10/2.17 ! [X:'B_set$'] : ( 12.10/2.17 X = 'fmb_B_set$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$',type,'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$':$tType). 12.10/2.17 tff('declare_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$1',type,'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$_1':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$'). 12.10/2.17 tff('finite_domain_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$',axiom, 12.10/2.17 ! [X:'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$'] : ( 12.10/2.17 X = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_A_b_fun_bool_fun$',type,'A_b_fun_bool_fun$':$tType). 12.10/2.17 tff('declare_A_b_fun_bool_fun$1',type,'fmb_A_b_fun_bool_fun$_1':'A_b_fun_bool_fun$'). 12.10/2.17 tff('finite_domain_A_b_fun_bool_fun$',axiom, 12.10/2.17 ! [X:'A_b_fun_bool_fun$'] : ( 12.10/2.17 X = 'fmb_A_b_fun_bool_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_A$',type,'A$':$tType). 12.10/2.17 tff('declare_A$1',type,'fmb_A$_1':'A$'). 12.10/2.17 tff('finite_domain_A$',axiom, 12.10/2.17 ! [X:'A$'] : ( 12.10/2.17 X = 'fmb_A$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_ZF_ZF_unit_Category_ext$',type,'ZF_ZF_unit_Category_ext$':$tType). 12.10/2.17 tff('declare_ZF_ZF_unit_Category_ext$1',type,'fmb_ZF_ZF_unit_Category_ext$_1':'ZF_ZF_unit_Category_ext$'). 12.10/2.17 tff('finite_domain_ZF_ZF_unit_Category_ext$',axiom, 12.10/2.17 ! [X:'ZF_ZF_unit_Category_ext$'] : ( 12.10/2.17 X = 'fmb_ZF_ZF_unit_Category_ext$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$',type,'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$':$tType). 12.10/2.17 tff('declare_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$1',type,'fmb_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1':'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('finite_domain_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$',axiom, 12.10/2.17 ! [X:'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'] : ( 12.10/2.17 X = 'fmb_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_B_b_prod_b_fun$',type,'B_b_prod_b_fun$':$tType). 12.10/2.17 tff('declare_B_b_prod_b_fun$1',type,'fmb_B_b_prod_b_fun$_1':'B_b_prod_b_fun$'). 12.10/2.17 tff('finite_domain_B_b_prod_b_fun$',axiom, 12.10/2.17 ! [X:'B_b_prod_b_fun$'] : ( 12.10/2.17 X = 'fmb_B_b_prod_b_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$',type,'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$':$tType). 12.10/2.17 tff('declare_A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$1',type,'fmb_A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$_1':'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$'). 12.10/2.17 tff('finite_domain_A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$',axiom, 12.10/2.17 ! [X:'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$'] : ( 12.10/2.17 X = 'fmb_A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_B_set_b_set_fun$',type,'B_set_b_set_fun$':$tType). 12.10/2.17 tff('declare_B_set_b_set_fun$1',type,'fmb_B_set_b_set_fun$_1':'B_set_b_set_fun$'). 12.10/2.17 tff('finite_domain_B_set_b_set_fun$',axiom, 12.10/2.17 ! [X:'B_set_b_set_fun$'] : ( 12.10/2.17 X = 'fmb_B_set_b_set_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$',type,'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$':$tType). 12.10/2.17 tff('declare_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$1',type,'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$_1':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$'). 12.10/2.17 tff('finite_domain_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$',axiom, 12.10/2.17 ! [X:'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$'] : ( 12.10/2.17 X = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_ZF_bool_fun$',type,'ZF_bool_fun$':$tType). 12.10/2.17 tff('declare_ZF_bool_fun$1',type,'fmb_ZF_bool_fun$_1':'ZF_bool_fun$'). 12.10/2.17 tff('finite_domain_ZF_bool_fun$',axiom, 12.10/2.17 ! [X:'ZF_bool_fun$'] : ( 12.10/2.17 X = 'fmb_ZF_bool_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$',type,'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$':$tType). 12.10/2.17 tff('declare_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$1',type,'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$_1':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$'). 12.10/2.17 tff('finite_domain_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$',axiom, 12.10/2.17 ! [X:'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$'] : ( 12.10/2.17 X = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_B_b_b_fun_fun$',type,'B_b_b_fun_fun$':$tType). 12.10/2.17 tff('declare_B_b_b_fun_fun$1',type,'fmb_B_b_b_fun_fun$_1':'B_b_b_fun_fun$'). 12.10/2.17 tff('finite_domain_B_b_b_fun_fun$',axiom, 12.10/2.17 ! [X:'B_b_b_fun_fun$'] : ( 12.10/2.17 X = 'fmb_B_b_b_fun_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 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). 12.10/2.17 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$'). 12.10/2.17 tff('finite_domain_ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$',axiom, 12.10/2.17 ! [X:'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$'] : ( 12.10/2.17 X = 'fmb_ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_A_ZF_fun$',type,'A_ZF_fun$':$tType). 12.10/2.17 tff('declare_A_ZF_fun$1',type,'fmb_A_ZF_fun$_1':'A_ZF_fun$'). 12.10/2.17 tff('finite_domain_A_ZF_fun$',axiom, 12.10/2.17 ! [X:'A_ZF_fun$'] : ( 12.10/2.17 X = 'fmb_A_ZF_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_Unit$',type,'Unit$':$tType). 12.10/2.17 tff('declare_Unit$1',type,'fmb_Unit$_1':'Unit$'). 12.10/2.17 tff('finite_domain_Unit$',axiom, 12.10/2.17 ! [X:'Unit$'] : ( 12.10/2.17 X = 'fmb_Unit$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_ZF$',type,'ZF$':$tType). 12.10/2.17 tff('declare_ZF$1',type,'fmb_ZF$_1':'ZF$'). 12.10/2.17 tff('finite_domain_ZF$',axiom, 12.10/2.17 ! [X:'ZF$'] : ( 12.10/2.17 X = 'fmb_ZF$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_B_ZF_fun$',type,'B_ZF_fun$':$tType). 12.10/2.17 tff('declare_B_ZF_fun$1',type,'fmb_B_ZF_fun$_1':'B_ZF_fun$'). 12.10/2.17 tff('finite_domain_B_ZF_fun$',axiom, 12.10/2.17 ! [X:'B_ZF_fun$'] : ( 12.10/2.17 X = 'fmb_B_ZF_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_B_a_fun_set$',type,'B_a_fun_set$':$tType). 12.10/2.17 tff('declare_B_a_fun_set$1',type,'fmb_B_a_fun_set$_1':'B_a_fun_set$'). 12.10/2.17 tff('finite_domain_B_a_fun_set$',axiom, 12.10/2.17 ! [X:'B_a_fun_set$'] : ( 12.10/2.17 X = 'fmb_B_a_fun_set$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_B_a_fun_bool_fun$',type,'B_a_fun_bool_fun$':$tType). 12.10/2.17 tff('declare_B_a_fun_bool_fun$1',type,'fmb_B_a_fun_bool_fun$_1':'B_a_fun_bool_fun$'). 12.10/2.17 tff('finite_domain_B_a_fun_bool_fun$',axiom, 12.10/2.17 ! [X:'B_a_fun_bool_fun$'] : ( 12.10/2.17 X = 'fmb_B_a_fun_bool_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_B_bool_fun$',type,'B_bool_fun$':$tType). 12.10/2.17 tff('declare_B_bool_fun$1',type,'fmb_B_bool_fun$_1':'B_bool_fun$'). 12.10/2.17 tff('finite_domain_B_bool_fun$',axiom, 12.10/2.17 ! [X:'B_bool_fun$'] : ( 12.10/2.17 X = 'fmb_B_bool_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_B_ZF_fun_bool_fun$',type,'B_ZF_fun_bool_fun$':$tType). 12.10/2.17 tff('declare_B_ZF_fun_bool_fun$1',type,'fmb_B_ZF_fun_bool_fun$_1':'B_ZF_fun_bool_fun$'). 12.10/2.17 tff('finite_domain_B_ZF_fun_bool_fun$',axiom, 12.10/2.17 ! [X:'B_ZF_fun_bool_fun$'] : ( 12.10/2.17 X = 'fmb_B_ZF_fun_bool_fun$_1' 12.10/2.17 ) ). 12.10/2.17 12.10/2.17 tff('declare_makeCat$a',type,'makeCat$a':'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$'). 12.10/2.17 tff('makeCat$a_definition',axiom,'makeCat$a' = 'fmb_A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$_1'). 12.10/2.17 tff('declare_c$',type,'c$':'A_b_b_c_LSCategory_ext_Category_ext$'). 12.10/2.17 tff('c$_definition',axiom,'c$' = 'fmb_A_b_b_c_LSCategory_ext_Category_ext$_1'). 12.10/2.17 tff('declare_natTrans$',type,'natTrans$':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$'). 12.10/2.17 tff('natTrans$_definition',axiom,'natTrans$' = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$_1'). 12.10/2.17 tff('declare_top$',type,'top$':'ZF_set$'). 12.10/2.17 tff('top$_definition',axiom,'top$' = 'fmb_ZF_set$_1'). 12.10/2.17 tff('declare_oppositeCategory$',type,'oppositeCategory$':'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$'). 12.10/2.17 tff('oppositeCategory$_definition',axiom,'oppositeCategory$' = 'fmb_A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$_1'). 12.10/2.17 tff('declare_f$',type,'f$':'B$'). 12.10/2.17 tff('f$_definition',axiom,'f$' = 'fmb_B$_1'). 12.10/2.17 tff('declare_equivalence_axioms$',type,'equivalence_axioms$':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$'). 12.10/2.17 tff('equivalence_axioms$_definition',axiom,'equivalence_axioms$' = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$_1'). 12.10/2.17 tff('declare_idNatTrans$d',type,'idNatTrans$d':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$'). 12.10/2.17 tff('idNatTrans$d_definition',axiom,'idNatTrans$d' = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$_1'). 12.10/2.17 tff('declare_uut$',type,'uut$':'ZF_bool_fun$'). 12.10/2.17 tff('uut$_definition',axiom,'uut$' = 'fmb_ZF_bool_fun$_1'). 12.10/2.17 tff('declare_functorM$a',type,'functorM$a':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$'). 12.10/2.17 tff('functorM$a_definition',axiom,'functorM$a' = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$_1'). 12.10/2.17 tff('declare_set$',type,'set$':'ZF_ZF_unit_Category_ext$'). 12.10/2.17 tff('set$_definition',axiom,'set$' = 'fmb_ZF_ZF_unit_Category_ext$_1'). 12.10/2.17 tff('declare_unity$',type,'unity$':'Unit$'). 12.10/2.17 tff('unity$_definition',axiom,'unity$' = 'fmb_Unit$_1'). 12.10/2.17 tff('declare_oppositeCategory$b',type,'oppositeCategory$b':'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$'). 12.10/2.17 tff('oppositeCategory$b_definition',axiom,'oppositeCategory$b' = 'fmb_ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$_1'). 12.10/2.17 tff('declare_zFfunCod$',type,'zFfunCod$':'ZF_ZF_fun$'). 12.10/2.17 tff('zFfunCod$_definition',axiom,'zFfunCod$' = 'fmb_ZF_ZF_fun$_1'). 12.10/2.17 tff('declare_nTDom$',type,'nTDom$':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$'). 12.10/2.17 tff('nTDom$_definition',axiom,'nTDom$' = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$_1'). 12.10/2.17 tff('declare_set$a',type,'set$a':'ZF_ZF_unit_Category_ext$'). 12.10/2.17 tff('set$a_definition',axiom,'set$a' = 'fmb_ZF_ZF_unit_Category_ext$_1'). 12.10/2.17 tff('declare_equivalence$a',type,'equivalence$a':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$'). 12.10/2.17 tff('equivalence$a_definition',axiom,'equivalence$a' = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$_1'). 12.10/2.17 tff('declare_zFfunComp$',type,'zFfunComp$':'ZF_ZF_ZF_fun_fun$'). 12.10/2.17 tff('zFfunComp$_definition',axiom,'zFfunComp$' = 'fmb_ZF_ZF_ZF_fun_fun$_1'). 12.10/2.17 tff('declare_functor$',type,'functor$':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$'). 12.10/2.17 tff('functor$_definition',axiom,'functor$' = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$_1'). 12.10/2.17 tff('declare_makeFtor$',type,'makeFtor$':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$'). 12.10/2.17 tff('makeFtor$_definition',axiom,'makeFtor$' = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$_1'). 12.10/2.17 tff('declare_natTransExt$a',type,'natTransExt$a':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$'). 12.10/2.17 tff('natTransExt$a_definition',axiom,'natTransExt$a' = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$_1'). 12.10/2.17 tff('declare_nTCod$',type,'nTCod$':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$'). 12.10/2.17 tff('nTCod$_definition',axiom,'nTCod$' = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$_1'). 12.10/2.17 tff('declare_uuv$',type,'uuv$':'ZF_ZF_fun$'). 12.10/2.17 tff('uuv$_definition',axiom,'uuv$' = 'fmb_ZF_ZF_fun$_1'). 12.10/2.17 tff('declare_functorExt$a',type,'functorExt$a':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$'). 12.10/2.17 tff('functorExt$a_definition',axiom,'functorExt$a' = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$_1'). 12.10/2.17 tff('declare_zFfunDom$',type,'zFfunDom$':'ZF_ZF_fun$'). 12.10/2.17 tff('zFfunDom$_definition',axiom,'zFfunDom$' = 'fmb_ZF_ZF_fun$_1'). 12.10/2.17 tff('declare_natTransP$a',type,'natTransP$a':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$'). 12.10/2.17 tff('natTransP$a_definition',axiom,'natTransP$a' = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$_1'). 12.10/2.17 tff('declare_zFfunApp$',type,'zFfunApp$':'ZF_ZF_ZF_fun_fun$'). 12.10/2.17 tff('zFfunApp$_definition',axiom,'zFfunApp$' = 'fmb_ZF_ZF_ZF_fun_fun$_1'). 12.10/2.17 tff('declare_functorM_axioms$a',type,'functorM_axioms$a':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$'). 12.10/2.17 tff('functorM_axioms$a_definition',axiom,'functorM_axioms$a' = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$_1'). 12.10/2.17 tff('declare_makeCat$',type,'makeCat$':'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$'). 12.10/2.17 tff('makeCat$_definition',axiom,'makeCat$' = 'fmb_ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$_1'). 12.10/2.17 tff('declare_uuu$',type,'uuu$':'ZF_ZF_fun$'). 12.10/2.17 tff('uuu$_definition',axiom,'uuu$' = 'fmb_ZF_ZF_fun$_1'). 12.10/2.17 tff('declare_preFunctor$',type,'preFunctor$':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$'). 12.10/2.17 tff('preFunctor$_definition',axiom,'preFunctor$' = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$_1'). 12.10/2.17 tff('declare_explode$',type,'explode$':'ZF_ZF_set_fun$'). 12.10/2.17 tff('explode$_definition',axiom,'explode$' = 'fmb_ZF_ZF_set_fun$_1'). 12.10/2.17 tff('declare_isZFfun$',type,'isZFfun$':'ZF_bool_fun$'). 12.10/2.17 tff('isZFfun$_definition',axiom,'isZFfun$' = 'fmb_ZF_bool_fun$_1'). 12.10/2.17 tff('declare_natTransComp$c',type,'natTransComp$c':'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$'). 12.10/2.17 tff('natTransComp$c_definition',axiom,'natTransComp$c' = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$_1'). 12.10/2.17 tff('declare_functorComp$a',type,'functorComp$a': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'). 12.10/2.17 tff('function_functorComp$a',axiom, 12.10/2.17 'functorComp$a'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1','fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_collect$e',type,'collect$e': ('B_ZF_fun_bool_fun$') > 'B_ZF_fun_set$'). 12.10/2.17 tff('function_collect$e',axiom, 12.10/2.17 'collect$e'('fmb_B_ZF_fun_bool_fun$_1') = 'fmb_B_ZF_fun_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_more_update$',type,'more_update$': ('Unit_unit_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_more_update$',axiom, 12.10/2.17 'more_update$'('fmb_Unit_unit_fun$_1','fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_id$',type,'id$': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'A_b_fun$'). 12.10/2.17 tff('function_id$',axiom, 12.10/2.17 'id$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_A_b_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_restrict$c',type,'restrict$c': ('A_ZF_fun$' * 'A_set$') > 'A_ZF_fun$'). 12.10/2.17 tff('function_restrict$c',axiom, 12.10/2.17 'restrict$c'('fmb_A_ZF_fun$_1','fmb_A_set$_1') = 'fmb_A_ZF_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_functorComp$',type,'functorComp$': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'). 12.10/2.17 tff('function_functorComp$',axiom, 12.10/2.17 'functorComp$'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1','fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_catDom$a',type,'catDom$a': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > 'ZF_ZF_unit_Category_ext$'). 12.10/2.17 tff('function_catDom$a',axiom, 12.10/2.17 'catDom$a'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1') = 'fmb_ZF_ZF_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_extensional$c',type,'extensional$c': ('B_set$') > 'B_a_fun_set$'). 12.10/2.17 tff('function_extensional$c',axiom, 12.10/2.17 'extensional$c'('fmb_B_set$_1') = 'fmb_B_a_fun_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_uun$',type,'uun$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$'). 12.10/2.17 tff('function_uun$',axiom, 12.10/2.17 'uun$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_collect$',type,'collect$': ('ZF_ZF_prod_bool_fun$') > 'ZF_ZF_prod_set$'). 12.10/2.17 tff('function_collect$',axiom, 12.10/2.17 'collect$'('fmb_ZF_ZF_prod_bool_fun$_1') = 'fmb_ZF_ZF_prod_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_mor_update$a',type,'mor_update$a': ('B_set_b_set_fun$') > 'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$'). 12.10/2.17 tff('function_mor_update$a',axiom, 12.10/2.17 'mor_update$a'('fmb_B_set_b_set_fun$_1') = 'fmb_A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_uum$',type,'uum$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'B$') > 'A_ZF_fun$'). 12.10/2.17 tff('function_uum$',axiom, 12.10/2.17 'uum$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_B$_1') = 'fmb_A_ZF_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTCod$c',type,'nTCod$c': ('ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$') > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'). 12.10/2.17 tff('function_nTCod$c',axiom, 12.10/2.17 'nTCod$c'('fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$_1') = 'fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_uuq$',type,'uuq$': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$') > 'ZF_bool_fun$'). 12.10/2.17 tff('function_uuq$',axiom, 12.10/2.17 'uuq$'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1','fmb_A$_1') = 'fmb_ZF_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nt_abbrev$a',type,'nt_abbrev$a': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$'). 12.10/2.17 tff('function_nt_abbrev$a',axiom, 12.10/2.17 'nt_abbrev$a'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1','fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_fun_app$s',type,'fun_app$s': ('A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$' * 'A_b_b_c_LSCategory_ext_Category_ext$') > 'A_b_b_c_LSCategory_ext_Category_ext$'). 12.10/2.17 tff('function_fun_app$s',axiom, 12.10/2.17 'fun_app$s'('fmb_A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$_1','fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_A_b_b_c_LSCategory_ext_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_more$b',type,'more$b': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$') > 'Unit$'). 12.10/2.17 tff('function_more$b',axiom, 12.10/2.17 'more$b'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1') = 'fmb_Unit$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_unitFunctor$',type,'unitFunctor$': ('ZF_ZF_unit_Category_ext$') > 'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$'). 12.10/2.17 tff('function_unitFunctor$',axiom, 12.10/2.17 'unitFunctor$'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_natTransMap$d',type,'natTransMap$d': ('A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$') > 'A_b_fun$'). 12.10/2.17 tff('function_natTransMap$d',axiom, 12.10/2.17 'natTransMap$d'('fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$_1') = 'fmb_A_b_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_natTrans_ext$a',type,'natTrans_ext$a': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_fun$' * 'Unit$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_natTrans_ext$a',axiom, 12.10/2.17 'natTrans_ext$a'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1','fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1','fmb_A_ZF_fun$_1','fmb_Unit$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_catExp$c',type,'catExp$c': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$'). 12.10/2.17 tff('function_catExp$c',axiom, 12.10/2.17 'catExp$c'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_the$a',type,'the$a': ('B_bool_fun$') > 'B$'). 12.10/2.17 tff('function_the$a',axiom, 12.10/2.17 'the$a'('fmb_B_bool_fun$_1') = 'fmb_B$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_mapsTo$',type,'mapsTo$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'B$' * 'A$') > 'A_bool_fun$'). 12.10/2.17 tff('function_mapsTo$',axiom, 12.10/2.17 'mapsTo$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_B$_1','fmb_A$_1') = 'fmb_A_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_obj$a',type,'obj$a': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'A_set$'). 12.10/2.17 tff('function_obj$a',axiom, 12.10/2.17 'obj$a'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_A_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_uuz$',type,'uuz$': ('ZF_ZF_unit_Category_ext$') > 'ZF_ZF_ZF_fun_fun$'). 12.10/2.17 tff('function_uuz$',axiom, 12.10/2.17 'uuz$'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_ZF_fun_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_case_prod$',type,'case_prod$': ('ZF_ZF_ZF_fun_fun$') > 'ZF_ZF_prod_ZF_fun$'). 12.10/2.17 tff('function_case_prod$',axiom, 12.10/2.17 'case_prod$'('fmb_ZF_ZF_ZF_fun_fun$_1') = 'fmb_ZF_ZF_prod_ZF_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_catCod$d',type,'catCod$d': ('A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$') > 'A_b_b_c_LSCategory_ext_Category_ext$'). 12.10/2.17 tff('function_catCod$d',axiom, 12.10/2.17 'catCod$d'('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' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_catDom$c',type,'catDom$c': ('ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$') > 'ZF_ZF_unit_Category_ext$'). 12.10/2.17 tff('function_catDom$c',axiom, 12.10/2.17 'catDom$c'('fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$_1') = 'fmb_ZF_ZF_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_fun_app$n',type,'fun_app$n': ('A_ZF_fun$' * 'A$') > 'ZF$'). 12.10/2.17 tff('function_fun_app$n',axiom, 12.10/2.17 'fun_app$n'('fmb_A_ZF_fun$_1','fmb_A$_1') = 'fmb_ZF$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_uua$',type,'uua$': ('ZF_set$') > 'ZF_bool_fun$'). 12.10/2.17 tff('function_uua$',axiom, 12.10/2.17 'uua$'('fmb_ZF_set$_1') = 'fmb_ZF_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_uup$',type,'uup$': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$') > 'A_ZF_fun$'). 12.10/2.17 tff('function_uup$',axiom, 12.10/2.17 'uup$'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1','fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1') = 'fmb_A_ZF_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_extensional$d',type,'extensional$d': ('ZF_ZF_prod_set$') > 'ZF_ZF_prod_ZF_fun_set$'). 12.10/2.17 tff('function_extensional$d',axiom, 12.10/2.17 'extensional$d'('fmb_ZF_ZF_prod_set$_1') = 'fmb_ZF_ZF_prod_ZF_fun_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_obj_update$',type,'obj_update$': ('ZF_set_ZF_set_fun$') > 'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$'). 12.10/2.17 tff('function_obj_update$',axiom, 12.10/2.17 'obj_update$'('fmb_ZF_set_ZF_set_fun$_1') = 'fmb_ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_catDom_update$a',type,'catDom_update$a': ('A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$'). 12.10/2.17 tff('function_catDom_update$a',axiom, 12.10/2.17 'catDom_update$a'('fmb_A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_catCod$',type,'catCod$': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$') > 'ZF_ZF_unit_Category_ext$'). 12.10/2.17 tff('function_catCod$',axiom, 12.10/2.17 'catCod$'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1') = 'fmb_ZF_ZF_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTCatDom$f',type,'nTCatDom$f': ('ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$') > 'ZF_ZF_unit_Category_ext$'). 12.10/2.17 tff('function_nTCatDom$f',axiom, 12.10/2.17 'nTCatDom$f'('fmb_ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$_1') = 'fmb_ZF_ZF_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_restrict$a',type,'restrict$a': ('B_b_prod_b_fun$' * 'B_b_prod_set$' * 'B_b_prod$') > 'B$'). 12.10/2.17 tff('function_restrict$a',axiom, 12.10/2.17 'restrict$a'('fmb_B_b_prod_b_fun$_1','fmb_B_b_prod_set$_1','fmb_B_b_prod$_1') = 'fmb_B$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_mapM$a',type,'mapM$a': ('ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$' * 'ZF$') > 'Unit$'). 12.10/2.17 tff('function_mapM$a',axiom, 12.10/2.17 'mapM$a'('fmb_ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$_1','fmb_ZF$_1') = 'fmb_Unit$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_catExp$',type,'catExp$': ('ZF_ZF_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$'). 12.10/2.17 tff('function_catExp$',axiom, 12.10/2.17 'catExp$'('fmb_ZF_ZF_unit_Category_ext$_1','fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_more$c',type,'more$c': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'C$'). 12.10/2.17 tff('function_more$c',axiom, 12.10/2.17 'more$c'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_C$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_fun_app$r',type,'fun_app$r': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'). 12.10/2.17 tff('function_fun_app$r',axiom, 12.10/2.17 'fun_app$r'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$_1','fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTDom$a',type,'nTDom$a': ('ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'). 12.10/2.17 tff('function_nTDom$a',axiom, 12.10/2.17 'nTDom$a'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_mapO$b',type,'mapO$b': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > 'ZF_ZF_fun$'). 12.10/2.17 tff('function_mapO$b',axiom, 12.10/2.17 'mapO$b'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1') = 'fmb_ZF_ZF_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_natTransComp$g',type,'natTransComp$g': ('A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * 'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$') > 'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_natTransComp$g',axiom, 12.10/2.17 'natTransComp$g'('fmb_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1','fmb_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1') = 'fmb_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTCompDefined$a',type,'nTCompDefined$a': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$'). 12.10/2.17 tff('function_nTCompDefined$a',axiom, 12.10/2.17 'nTCompDefined$a'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_uus$',type,'uus$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF$') > 'B_bool_fun$'). 12.10/2.17 tff('function_uus$',axiom, 12.10/2.17 'uus$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_ZF$_1') = 'fmb_B_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_uud$',type,'uud$': ('B_a_fun_set$') > 'B_a_fun_bool_fun$'). 12.10/2.17 tff('function_uud$',axiom, 12.10/2.17 'uud$'('fmb_B_a_fun_set$_1') = 'fmb_B_a_fun_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_natTransComp$d',type,'natTransComp$d': ('ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' * 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$') > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$'). 12.10/2.17 tff('function_natTransComp$d',axiom, 12.10/2.17 'natTransComp$d'('fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$_1','fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$_1') = 'fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_fun_app$ab',type,'fun_app$ab': ('B_a_fun$' * 'B$') > 'A$'). 12.10/2.17 tff('function_fun_app$ab',axiom, 12.10/2.17 'fun_app$ab'('fmb_B_a_fun$_1','fmb_B$_1') = 'fmb_A$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTCatDom$d',type,'nTCatDom$d': ('A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$') > 'A_b_b_c_LSCategory_ext_Category_ext$'). 12.10/2.17 tff('function_nTCatDom$d',axiom, 12.10/2.17 'nTCatDom$d'('fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$_1') = 'fmb_A_b_b_c_LSCategory_ext_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_mapO$f',type,'mapO$f': ('A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'). 12.10/2.17 tff('function_mapO$f',axiom, 12.10/2.17 'mapO$f'('fmb_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$_1','fmb_A$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_collect$a',type,'collect$a': ('B_b_prod_bool_fun$') > 'B_b_prod_set$'). 12.10/2.17 tff('function_collect$a',axiom, 12.10/2.17 'collect$a'('fmb_B_b_prod_bool_fun$_1') = 'fmb_B_b_prod_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTCod$e',type,'nTCod$e': ('ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$') > 'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$'). 12.10/2.17 tff('function_nTCod$e',axiom, 12.10/2.17 'nTCod$e'('fmb_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$_1') = 'fmb_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_mor$c',type,'mor$c': ('Unit_unit_unit_Category_ext$') > 'Unit_set$'). 12.10/2.17 tff('function_mor$c',axiom, 12.10/2.17 'mor$c'('fmb_Unit_unit_unit_Category_ext$_1') = 'fmb_Unit_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_pair$a',type,'pair$a': ('B$' * 'B$') > 'B_b_prod$'). 12.10/2.17 tff('function_pair$a',axiom, 12.10/2.17 'pair$a'('fmb_B$_1','fmb_B$_1') = 'fmb_B_b_prod$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_dom_update$',type,'dom_update$': ('ZF_ZF_fun_ZF_ZF_fun_fun$') > 'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$'). 12.10/2.17 tff('function_dom_update$',axiom, 12.10/2.17 'dom_update$'('fmb_ZF_ZF_fun_ZF_ZF_fun_fun$_1') = 'fmb_ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_fun_app$u',type,'fun_app$u': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'). 12.10/2.17 tff('function_fun_app$u',axiom, 12.10/2.17 'fun_app$u'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun$_1','fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_uuk$',type,'uuk$': ('ZF_ZF_unit_Category_ext$') > 'ZF_ZF_ZF_fun_fun$'). 12.10/2.17 tff('function_uuk$',axiom, 12.10/2.17 'uuk$'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_ZF_fun_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_comp_update$',type,'comp_update$': ('ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$') > 'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$'). 12.10/2.17 tff('function_comp_update$',axiom, 12.10/2.17 'comp_update$'('fmb_ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$_1') = 'fmb_ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_case_prod$a',type,'case_prod$a': ('B_b_b_fun_fun$') > 'B_b_prod_b_fun$'). 12.10/2.17 tff('function_case_prod$a',axiom, 12.10/2.17 'case_prod$a'('fmb_B_b_b_fun_fun$_1') = 'fmb_B_b_prod_b_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTCatDom$b',type,'nTCatDom$b': ('ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$') > 'ZF_ZF_unit_Category_ext$'). 12.10/2.17 tff('function_nTCatDom$b',axiom, 12.10/2.17 'nTCatDom$b'('fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$_1') = 'fmb_ZF_ZF_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_natTransComp$f',type,'natTransComp$f': ('ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$' * 'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$') > 'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_natTransComp$f',axiom, 12.10/2.17 'natTransComp$f'('fmb_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$_1','fmb_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$_1') = 'fmb_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_uu$',type,'uu$': ('B_set$') > 'B_bool_fun$'). 12.10/2.17 tff('function_uu$',axiom, 12.10/2.17 'uu$'('fmb_B_set$_1') = 'fmb_B_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTCatCod$d',type,'nTCatCod$d': ('A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$') > 'A_b_b_c_LSCategory_ext_Category_ext$'). 12.10/2.17 tff('function_nTCatCod$d',axiom, 12.10/2.17 'nTCatCod$d'('fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$_1') = 'fmb_A_b_b_c_LSCategory_ext_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_mapM$d',type,'mapM$d': ('A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'B$') > 'B$'). 12.10/2.17 tff('function_mapM$d',axiom, 12.10/2.17 'mapM$d'('fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$_1','fmb_B$_1') = 'fmb_B$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_uuo$',type,'uuo$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$'). 12.10/2.17 tff('function_uuo$',axiom, 12.10/2.17 'uuo$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_uur$',type,'uur$': ('ZF$') > 'ZF_ZF_ZF_fun_fun$'). 12.10/2.17 tff('function_uur$',axiom, 12.10/2.17 'uur$'('fmb_ZF$_1') = 'fmb_ZF_ZF_ZF_fun_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_fun_app$z',type,'fun_app$z': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$'). 12.10/2.17 tff('function_fun_app$z',axiom, 12.10/2.17 'fun_app$z'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$_1','fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTDom$f',type,'nTDom$f': ('A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$') > 'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$'). 12.10/2.17 tff('function_nTDom$f',axiom, 12.10/2.17 'nTDom$f'('fmb_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1') = 'fmb_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_uuy$',type,'uuy$': ('ZF_ZF_unit_Category_ext$') > 'ZF_ZF_prod_bool_fun$'). 12.10/2.17 tff('function_uuy$',axiom, 12.10/2.17 'uuy$'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_prod_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_natTransComp$',type,'natTransComp$': ('ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_natTransComp$',axiom, 12.10/2.17 'natTransComp$'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1','fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_fun_app$l',type,'fun_app$l': ('B_b_fun$' * 'B$') > 'B$'). 12.10/2.17 tff('function_fun_app$l',axiom, 12.10/2.17 'fun_app$l'('fmb_B_b_fun$_1','fmb_B$_1') = 'fmb_B$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_mor2ZF$',type,'mor2ZF$': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'B_ZF_fun$'). 12.10/2.17 tff('function_mor2ZF$',axiom, 12.10/2.17 'mor2ZF$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_B_ZF_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_idNatTrans$b',type,'idNatTrans$b': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_idNatTrans$b',axiom, 12.10/2.17 'idNatTrans$b'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_natTransMap$c',type,'natTransMap$c': ('ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$' * 'ZF$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_natTransMap$c',axiom, 12.10/2.17 'natTransMap$c'('fmb_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$_1','fmb_ZF$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_catDom$',type,'catDom$': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$') > 'A_b_b_c_LSCategory_ext_Category_ext$'). 12.10/2.17 tff('function_catDom$',axiom, 12.10/2.17 'catDom$'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1') = 'fmb_A_b_b_c_LSCategory_ext_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_zFfun$',type,'zFfun$': ('ZF$' * 'ZF$' * 'ZF_ZF_fun$') > 'ZF$'). 12.10/2.17 tff('function_zFfun$',axiom, 12.10/2.17 'zFfun$'('fmb_ZF$_1','fmb_ZF$_1','fmb_ZF_ZF_fun$_1') = 'fmb_ZF$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_catDom_update$',type,'catDom_update$': ('ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun$'). 12.10/2.17 tff('function_catDom_update$',axiom, 12.10/2.17 'catDom_update$'('fmb_ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_inverse_rel$',type,'inverse_rel$': ('ZF_ZF_unit_Category_ext$' * 'ZF$') > 'ZF_bool_fun$'). 12.10/2.17 tff('function_inverse_rel$',axiom, 12.10/2.17 'inverse_rel$'('fmb_ZF_ZF_unit_Category_ext$_1','fmb_ZF$_1') = 'fmb_ZF_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_extensional$b',type,'extensional$b': ('B_set$') > 'B_ZF_fun_set$'). 12.10/2.17 tff('function_extensional$b',axiom, 12.10/2.17 'extensional$b'('fmb_B_set$_1') = 'fmb_B_ZF_fun_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_fun_app$p',type,'fun_app$p': ('A_b_fun$' * 'A$') > 'B$'). 12.10/2.17 tff('function_fun_app$p',axiom, 12.10/2.17 'fun_app$p'('fmb_A_b_fun$_1','fmb_A$_1') = 'fmb_B$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_idNatTrans$',type,'idNatTrans$': ('ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$') > 'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_idNatTrans$',axiom, 12.10/2.17 'idNatTrans$'('fmb_ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$_1') = 'fmb_ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_idNatTrans$c',type,'idNatTrans$c': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_idNatTrans$c',axiom, 12.10/2.17 'idNatTrans$c'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_more$a',type,'more$a': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$') > 'Unit$'). 12.10/2.17 tff('function_more$a',axiom, 12.10/2.17 'more$a'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1') = 'fmb_Unit$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_more$',type,'more$': ('ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$') > 'Unit$'). 12.10/2.17 tff('function_more$',axiom, 12.10/2.17 'more$'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1') = 'fmb_Unit$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTCatCod$',type,'nTCatCod$': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$') > 'ZF_ZF_unit_Category_ext$'). 12.10/2.17 tff('function_nTCatCod$',axiom, 12.10/2.17 'nTCatCod$'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1') = 'fmb_ZF_ZF_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTCod$f',type,'nTCod$f': ('A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$') > 'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$'). 12.10/2.17 tff('function_nTCod$f',axiom, 12.10/2.17 'nTCod$f'('fmb_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1') = 'fmb_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_mapM$e',type,'mapM$e': ('ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' * 'ZF$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_mapM$e',axiom, 12.10/2.17 'mapM$e'('fmb_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$_1','fmb_ZF$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTCatCod$a',type,'nTCatCod$a': ('ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$') > 'ZF_ZF_unit_Category_ext$'). 12.10/2.17 tff('function_nTCatCod$a',axiom, 12.10/2.17 'nTCatCod$a'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1') = 'fmb_ZF_ZF_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_fun_app$ac',type,'fun_app$ac': ('ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun$') > 'ZF_ZF_fun$'). 12.10/2.17 tff('function_fun_app$ac',axiom, 12.10/2.17 'fun_app$ac'('fmb_ZF_ZF_fun_ZF_ZF_fun_fun$_1','fmb_ZF_ZF_fun$_1') = 'fmb_ZF_ZF_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_natTransMap$e',type,'natTransMap$e': ('A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * 'A$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_natTransMap$e',axiom, 12.10/2.17 'natTransMap$e'('fmb_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1','fmb_A$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_natTransMap$b',type,'natTransMap$b': ('ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' * 'ZF$') > 'B$'). 12.10/2.17 tff('function_natTransMap$b',axiom, 12.10/2.17 'natTransMap$b'('fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$_1','fmb_ZF$_1') = 'fmb_B$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_fun_app$k',type,'fun_app$k': ('ZF_ZF_ZF_fun_fun$' * 'ZF$') > 'ZF_ZF_fun$'). 12.10/2.17 tff('function_fun_app$k',axiom, 12.10/2.17 'fun_app$k'('fmb_ZF_ZF_ZF_fun_fun$_1','fmb_ZF$_1') = 'fmb_ZF_ZF_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 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$'). 12.10/2.17 tff('function_homFtor$',axiom, 12.10/2.17 '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' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 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$') > 'A_b_b_c_LSCategory_ext_Category_ext$'). 12.10/2.17 tff('function_category_ext$',axiom, 12.10/2.17 'category_ext$'('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' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_catDom$b',type,'catDom$b': ('ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$') > 'ZF_ZF_unit_Category_ext$'). 12.10/2.17 tff('function_catDom$b',axiom, 12.10/2.17 'catDom$b'('fmb_ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$_1') = 'fmb_ZF_ZF_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTDom$e',type,'nTDom$e': ('ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$') > 'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$'). 12.10/2.17 tff('function_nTDom$e',axiom, 12.10/2.17 'nTDom$e'('fmb_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$_1') = 'fmb_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_more$e',type,'more$e': ('ZF_ZF_unit_Category_ext$') > 'Unit$'). 12.10/2.17 tff('function_more$e',axiom, 12.10/2.17 'more$e'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_Unit$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_catDom$f',type,'catDom$f': ('A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$') > 'A_b_b_c_LSCategory_ext_Category_ext$'). 12.10/2.17 tff('function_catDom$f',axiom, 12.10/2.17 'catDom$f'('fmb_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$_1') = 'fmb_A_b_b_c_LSCategory_ext_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_idNatTrans$e',type,'idNatTrans$e': ('ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$') > 'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_idNatTrans$e',axiom, 12.10/2.17 'idNatTrans$e'('fmb_ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$_1') = 'fmb_ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTDom$c',type,'nTDom$c': ('ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$') > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'). 12.10/2.17 tff('function_nTDom$c',axiom, 12.10/2.17 'nTDom$c'('fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$_1') = 'fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_compDefined$',type,'compDefined$': ('ZF_ZF_unit_Category_ext$' * 'ZF$') > 'ZF_bool_fun$'). 12.10/2.17 tff('function_compDefined$',axiom, 12.10/2.17 'compDefined$'('fmb_ZF_ZF_unit_Category_ext$_1','fmb_ZF$_1') = 'fmb_ZF_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_makeCat$c',type,'makeCat$c': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$'). 12.10/2.17 tff('function_makeCat$c',axiom, 12.10/2.17 'makeCat$c'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_extensional$f',type,'extensional$f': ('B_b_prod_set$') > 'B_b_prod_b_fun_set$'). 12.10/2.17 tff('function_extensional$f',axiom, 12.10/2.17 'extensional$f'('fmb_B_b_prod_set$_1') = 'fmb_B_b_prod_b_fun_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_restrict$d',type,'restrict$d': ('B_a_fun$' * 'B_set$') > 'B_a_fun$'). 12.10/2.17 tff('function_restrict$d',axiom, 12.10/2.17 'restrict$d'('fmb_B_a_fun$_1','fmb_B_set$_1') = 'fmb_B_a_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_mapM$',type,'mapM$': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$') > 'B_ZF_fun$'). 12.10/2.17 tff('function_mapM$',axiom, 12.10/2.17 'mapM$'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1') = 'fmb_B_ZF_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_collect$d',type,'collect$d': ('A_bool_fun$') > 'A_set$'). 12.10/2.17 tff('function_collect$d',axiom, 12.10/2.17 'collect$d'('fmb_A_bool_fun$_1') = 'fmb_A_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_natTrans_ext$',type,'natTrans_ext$': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' * 'ZF_ZF_fun$' * 'Unit$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_natTrans_ext$',axiom, 12.10/2.17 'natTrans_ext$'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1','fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1','fmb_ZF_ZF_fun$_1','fmb_Unit$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_catExp$a',type,'catExp$a': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$'). 12.10/2.17 tff('function_catExp$a',axiom, 12.10/2.17 'catExp$a'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_dom$b',type,'dom$b': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'). 12.10/2.17 tff('function_dom$b',axiom, 12.10/2.17 'dom$b'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$_1','fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_fun_app$m',type,'fun_app$m': ('B_b_b_fun_fun$' * 'B$') > 'B_b_fun$'). 12.10/2.17 tff('function_fun_app$m',axiom, 12.10/2.17 'fun_app$m'('fmb_B_b_b_fun_fun$_1','fmb_B$_1') = 'fmb_B_b_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTCod_update$a',type,'nTCod_update$a': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_nTCod_update$a',axiom, 12.10/2.17 'nTCod_update$a'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$_1','fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_catCod$c',type,'catCod$c': ('ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$') > 'A_b_b_c_LSCategory_ext_Category_ext$'). 12.10/2.17 tff('function_catCod$c',axiom, 12.10/2.17 'catCod$c'('fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$_1') = 'fmb_A_b_b_c_LSCategory_ext_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_restrict$f',type,'restrict$f': ('ZF_ZF_fun$' * 'ZF_set$') > 'ZF_ZF_fun$'). 12.10/2.17 tff('function_restrict$f',axiom, 12.10/2.17 'restrict$f'('fmb_ZF_ZF_fun$_1','fmb_ZF_set$_1') = 'fmb_ZF_ZF_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_natTransMap$',type,'natTransMap$': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$') > 'A_ZF_fun$'). 12.10/2.17 tff('function_natTransMap$',axiom, 12.10/2.17 'natTransMap$'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1') = 'fmb_A_ZF_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_natTransMap$f',type,'natTransMap$f': ('ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$' * 'ZF$') > 'Unit$'). 12.10/2.17 tff('function_natTransMap$f',axiom, 12.10/2.17 'natTransMap$f'('fmb_ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$_1','fmb_ZF$_1') = 'fmb_Unit$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_oppositeCategory$a',type,'oppositeCategory$a': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$'). 12.10/2.17 tff('function_oppositeCategory$a',axiom, 12.10/2.17 'oppositeCategory$a'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_functor_ext$',type,'functor_ext$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'B_ZF_fun$' * 'Unit$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'). 12.10/2.17 tff('function_functor_ext$',axiom, 12.10/2.17 'functor_ext$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_ZF_ZF_unit_Category_ext$_1','fmb_B_ZF_fun$_1','fmb_Unit$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 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$'). 12.10/2.17 tff('function_homFtorContra$a',axiom, 12.10/2.17 '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' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 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$'). 12.10/2.17 tff('function_homFtorContra$',axiom, 12.10/2.17 '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' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTCod$a',type,'nTCod$a': ('ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'). 12.10/2.17 tff('function_nTCod$a',axiom, 12.10/2.17 'nTCod$a'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_extensional$e',type,'extensional$e': ('A_set$') > 'A_b_fun_set$'). 12.10/2.17 tff('function_extensional$e',axiom, 12.10/2.17 'extensional$e'('fmb_A_set$_1') = 'fmb_A_b_fun_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_collect$b',type,'collect$b': ('B_bool_fun$') > 'B_set$'). 12.10/2.17 tff('function_collect$b',axiom, 12.10/2.17 'collect$b'('fmb_B_bool_fun$_1') = 'fmb_B_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_cod$b',type,'cod$b': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'). 12.10/2.17 tff('function_cod$b',axiom, 12.10/2.17 'cod$b'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$_1','fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_compDefined$a',type,'compDefined$a': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'B$') > 'B_bool_fun$'). 12.10/2.17 tff('function_compDefined$a',axiom, 12.10/2.17 'compDefined$a'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_B$_1') = 'fmb_B_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_inverse_rel$a',type,'inverse_rel$a': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'B$') > 'B_bool_fun$'). 12.10/2.17 tff('function_inverse_rel$a',axiom, 12.10/2.17 'inverse_rel$a'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_B$_1') = 'fmb_B_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_the$',type,'the$': ('ZF_bool_fun$') > 'ZF$'). 12.10/2.17 tff('function_the$',axiom, 12.10/2.17 'the$'('fmb_ZF_bool_fun$_1') = 'fmb_ZF$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTCatDom$c',type,'nTCatDom$c': ('ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$') > 'ZF_ZF_unit_Category_ext$'). 12.10/2.17 tff('function_nTCatDom$c',axiom, 12.10/2.17 'nTCatDom$c'('fmb_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$_1') = 'fmb_ZF_ZF_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_catCod$e',type,'catCod$e': ('ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$'). 12.10/2.17 tff('function_catCod$e',axiom, 12.10/2.17 'catCod$e'('fmb_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_catCod$b',type,'catCod$b': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > 'ZF_ZF_unit_Category_ext$'). 12.10/2.17 tff('function_catCod$b',axiom, 12.10/2.17 'catCod$b'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1') = 'fmb_ZF_ZF_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_constFunctor$a',type,'constFunctor$a': ('ZF_ZF_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'). 12.10/2.17 tff('function_constFunctor$a',axiom, 12.10/2.17 'constFunctor$a'('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' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_uuf$',type,'uuf$': ('A_b_fun_set$') > 'A_b_fun_bool_fun$'). 12.10/2.17 tff('function_uuf$',axiom, 12.10/2.17 'uuf$'('fmb_A_b_fun_set$_1') = 'fmb_A_b_fun_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTDom_update$',type,'nTDom_update$': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_nTDom_update$',axiom, 12.10/2.17 'nTDom_update$'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$_1','fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_catCod$f',type,'catCod$f': ('A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$'). 12.10/2.17 tff('function_catCod$f',axiom, 12.10/2.17 'catCod$f'('fmb_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_objIso$',type,'objIso$': ('ZF_ZF_unit_Category_ext$' * 'ZF$') > 'ZF_bool_fun$'). 12.10/2.17 tff('function_objIso$',axiom, 12.10/2.17 'objIso$'('fmb_ZF_ZF_unit_Category_ext$_1','fmb_ZF$_1') = 'fmb_ZF_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_oppositeCategory$c',type,'oppositeCategory$c': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$'). 12.10/2.17 tff('function_oppositeCategory$c',axiom, 12.10/2.17 'oppositeCategory$c'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_cod_update$',type,'cod_update$': ('ZF_ZF_fun_ZF_ZF_fun_fun$') > 'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$'). 12.10/2.17 tff('function_cod_update$',axiom, 12.10/2.17 'cod_update$'('fmb_ZF_ZF_fun_ZF_ZF_fun_fun$_1') = 'fmb_ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_lSCategory_ext$',type,'lSCategory_ext$': ('B_ZF_fun$' * 'C$') > 'B_c_LSCategory_ext$'). 12.10/2.17 tff('function_lSCategory_ext$',axiom, 12.10/2.17 'lSCategory_ext$'('fmb_B_ZF_fun$_1','fmb_C$_1') = 'fmb_B_c_LSCategory_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_identityFunctor$a',type,'identityFunctor$a': ('ZF_ZF_unit_Category_ext$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'). 12.10/2.17 tff('function_identityFunctor$a',axiom, 12.10/2.17 'identityFunctor$a'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_collect$h',type,'collect$h': ('A_b_fun_bool_fun$') > 'A_b_fun_set$'). 12.10/2.17 tff('function_collect$h',axiom, 12.10/2.17 'collect$h'('fmb_A_b_fun_bool_fun$_1') = 'fmb_A_b_fun_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_natTransComp$b',type,'natTransComp$b': ('ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_natTransComp$b',axiom, 12.10/2.17 'natTransComp$b'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1','fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_comp$b',type,'comp$b': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_comp$b',axiom, 12.10/2.17 'comp$b'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$_1','fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1','fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_mor_update$',type,'mor_update$': ('ZF_set_ZF_set_fun$') > 'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$'). 12.10/2.17 tff('function_mor_update$',axiom, 12.10/2.17 'mor_update$'('fmb_ZF_set_ZF_set_fun$_1') = 'fmb_ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_catCod$a',type,'catCod$a': ('ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$') > 'Unit_unit_unit_Category_ext$'). 12.10/2.17 tff('function_catCod$a',axiom, 12.10/2.17 'catCod$a'('fmb_ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$_1') = 'fmb_Unit_unit_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_natTransMap$a',type,'natTransMap$a': ('ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$') > 'ZF_ZF_fun$'). 12.10/2.17 tff('function_natTransMap$a',axiom, 12.10/2.17 'natTransMap$a'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1') = 'fmb_ZF_ZF_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_cod$a',type,'cod$a': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'B_a_fun$'). 12.10/2.17 tff('function_cod$a',axiom, 12.10/2.17 'cod$a'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_B_a_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_functor_ext$a',type,'functor_ext$a': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'Unit$') > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$'). 12.10/2.17 tff('function_functor_ext$a',axiom, 12.10/2.17 'functor_ext$a'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$_1','fmb_B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$_1','fmb_Unit$_1') = 'fmb_A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTCatCod$e',type,'nTCatCod$e': ('A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$'). 12.10/2.17 tff('function_nTCatCod$e',axiom, 12.10/2.17 'nTCatCod$e'('fmb_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_fun_app$w',type,'fun_app$w': ('ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$' * 'ZF_ZF_unit_Category_ext$') > 'ZF_ZF_unit_Category_ext$'). 12.10/2.17 tff('function_fun_app$w',axiom, 12.10/2.17 'fun_app$w'('fmb_ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$_1','fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_mapO$',type,'mapO$': ('ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'ZF$') > 'A$'). 12.10/2.17 tff('function_mapO$',axiom, 12.10/2.17 'mapO$'('fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$_1','fmb_ZF$_1') = 'fmb_A$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTDom$b',type,'nTDom$b': ('ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$') > 'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$'). 12.10/2.17 tff('function_nTDom$b',axiom, 12.10/2.17 'nTDom$b'('fmb_ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$_1') = 'fmb_ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_uul$',type,'uul$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'A$') > 'B_ZF_fun$'). 12.10/2.17 tff('function_uul$',axiom, 12.10/2.17 'uul$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_A$_1') = 'fmb_B_ZF_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_identityFunctor$',type,'identityFunctor$': ('ZF_ZF_unit_Category_ext$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'). 12.10/2.17 tff('function_identityFunctor$',axiom, 12.10/2.17 'identityFunctor$'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_restrict$e',type,'restrict$e': ('A_b_fun$' * 'A_set$') > 'A_b_fun$'). 12.10/2.17 tff('function_restrict$e',axiom, 12.10/2.17 'restrict$e'('fmb_A_b_fun$_1','fmb_A_set$_1') = 'fmb_A_b_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 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$') > 'ZF_ZF_unit_Category_ext$'). 12.10/2.17 tff('function_category_ext$a',axiom, 12.10/2.17 'category_ext$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' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_constFunctor$',type,'constFunctor$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'). 12.10/2.17 tff('function_constFunctor$',axiom, 12.10/2.17 'constFunctor$'('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' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_homFtorMap$',type,'homFtorMap$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'A$') > 'B_ZF_fun$'). 12.10/2.17 tff('function_homFtorMap$',axiom, 12.10/2.17 'homFtorMap$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_A$_1') = 'fmb_B_ZF_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_collect$f',type,'collect$f': ('B_a_fun_bool_fun$') > 'B_a_fun_set$'). 12.10/2.17 tff('function_collect$f',axiom, 12.10/2.17 'collect$f'('fmb_B_a_fun_bool_fun$_1') = 'fmb_B_a_fun_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_makeNT$a',type,'makeNT$a': ('ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_makeNT$a',axiom, 12.10/2.17 'makeNT$a'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_inverse$',type,'inverse$': ('ZF_ZF_unit_Category_ext$') > 'ZF_ZF_fun$'). 12.10/2.17 tff('function_inverse$',axiom, 12.10/2.17 'inverse$'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_restrict$',type,'restrict$': ('ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_prod$') > 'ZF$'). 12.10/2.17 tff('function_restrict$',axiom, 12.10/2.17 'restrict$'('fmb_ZF_ZF_prod_ZF_fun$_1','fmb_ZF_ZF_prod_set$_1','fmb_ZF_ZF_prod$_1') = 'fmb_ZF$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_fun_app$t',type,'fun_app$t': ('B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'B$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_fun_app$t',axiom, 12.10/2.17 'fun_app$t'('fmb_B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$_1','fmb_B$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_extensional$a',type,'extensional$a': ('A_set$') > 'A_ZF_fun_set$'). 12.10/2.17 tff('function_extensional$a',axiom, 12.10/2.17 'extensional$a'('fmb_A_set$_1') = 'fmb_A_ZF_fun_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTCatDom$a',type,'nTCatDom$a': ('ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$') > 'ZF_ZF_unit_Category_ext$'). 12.10/2.17 tff('function_nTCatDom$a',axiom, 12.10/2.17 'nTCatDom$a'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1') = 'fmb_ZF_ZF_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_zF2mor$',type,'zF2mor$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF$') > 'B$'). 12.10/2.17 tff('function_zF2mor$',axiom, 12.10/2.17 'zF2mor$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_ZF$_1') = 'fmb_B$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_fun_app$x',type,'fun_app$x': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_fun_app$x',axiom, 12.10/2.17 'fun_app$x'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$_1','fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_collect$j',type,'collect$j': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$'). 12.10/2.17 tff('function_collect$j',axiom, 12.10/2.17 'collect$j'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_uub$',type,'uub$': ('A_set$') > 'A_bool_fun$'). 12.10/2.17 tff('function_uub$',axiom, 12.10/2.17 'uub$'('fmb_A_set$_1') = 'fmb_A_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_fun_app$af',type,'fun_app$af': ('ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' * 'ZF_ZF_ZF_fun_fun$') > 'ZF_ZF_ZF_fun_fun$'). 12.10/2.17 tff('function_fun_app$af',axiom, 12.10/2.17 'fun_app$af'('fmb_ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$_1','fmb_ZF_ZF_ZF_fun_fun$_1') = 'fmb_ZF_ZF_ZF_fun_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_uux$',type,'uux$': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'B_b_b_fun_fun$'). 12.10/2.17 tff('function_uux$',axiom, 12.10/2.17 'uux$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_B_b_b_fun_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_uui$',type,'uui$': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$'). 12.10/2.17 tff('function_uui$',axiom, 12.10/2.17 'uui$'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_category_ext$b',type,'category_ext$b': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$' * 'Unit$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$'). 12.10/2.17 tff('function_category_ext$b',axiom, 12.10/2.17 'category_ext$b'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$_1','fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$_1','fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$_1','fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$_1','fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$_1','fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$_1','fmb_Unit$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_dom$',type,'dom$': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'B_a_fun$'). 12.10/2.17 tff('function_dom$',axiom, 12.10/2.17 'dom$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_B_a_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_more$d',type,'more$d': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'B_c_LSCategory_ext$'). 12.10/2.17 tff('function_more$d',axiom, 12.10/2.17 'more$d'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_B_c_LSCategory_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_collect$c',type,'collect$c': ('ZF_bool_fun$') > 'ZF_set$'). 12.10/2.17 tff('function_collect$c',axiom, 12.10/2.17 'collect$c'('fmb_ZF_bool_fun$_1') = 'fmb_ZF_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_fun_app$ae',type,'fun_app$ae': ('B_set_b_set_fun$' * 'B_set$') > 'B_set$'). 12.10/2.17 tff('function_fun_app$ae',axiom, 12.10/2.17 'fun_app$ae'('fmb_B_set_b_set_fun$_1','fmb_B_set$_1') = 'fmb_B_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_mapM$f',type,'mapM$f': ('A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'B$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_mapM$f',axiom, 12.10/2.17 'mapM$f'('fmb_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$_1','fmb_B$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_isomorphism$a',type,'isomorphism$a': ('ZF_ZF_unit_Category_ext$') > 'ZF_bool_fun$'). 12.10/2.17 tff('function_isomorphism$a',axiom, 12.10/2.17 'isomorphism$a'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTCod_update$',type,'nTCod_update$': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_nTCod_update$',axiom, 12.10/2.17 'nTCod_update$'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun$_1','fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_hOMCollection$',type,'hOMCollection$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A$') > 'ZF_set$'). 12.10/2.17 tff('function_hOMCollection$',axiom, 12.10/2.17 'hOMCollection$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_A$_1','fmb_A$_1') = 'fmb_ZF_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_uuw$',type,'uuw$': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'B_b_prod_bool_fun$'). 12.10/2.17 tff('function_uuw$',axiom, 12.10/2.17 'uuw$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_B_b_prod_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_uuh$',type,'uuh$': ('B_b_prod_set$') > 'B_b_prod_bool_fun$'). 12.10/2.17 tff('function_uuh$',axiom, 12.10/2.17 'uuh$'('fmb_B_b_prod_set$_1') = 'fmb_B_b_prod_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_comp$',type,'comp$': ('ZF_ZF_unit_Category_ext$') > 'ZF_ZF_ZF_fun_fun$'). 12.10/2.17 tff('function_comp$',axiom, 12.10/2.17 'comp$'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_ZF_fun_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_isomorphism$',type,'isomorphism$': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'B_bool_fun$'). 12.10/2.17 tff('function_isomorphism$',axiom, 12.10/2.17 'isomorphism$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_B_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_makeNT$',type,'makeNT$': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_makeNT$',axiom, 12.10/2.17 'makeNT$'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_fun_app$o',type,'fun_app$o': ('B_ZF_fun$' * 'B$') > 'ZF$'). 12.10/2.17 tff('function_fun_app$o',axiom, 12.10/2.17 'fun_app$o'('fmb_B_ZF_fun$_1','fmb_B$_1') = 'fmb_ZF$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_catDom$e',type,'catDom$e': ('ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$') > 'ZF_ZF_unit_Category_ext$'). 12.10/2.17 tff('function_catDom$e',axiom, 12.10/2.17 'catDom$e'('fmb_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$_1') = 'fmb_ZF_ZF_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_inverse$a',type,'inverse$a': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'B$') > 'B$'). 12.10/2.17 tff('function_inverse$a',axiom, 12.10/2.17 'inverse$a'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_B$_1') = 'fmb_B$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_mapM$b',type,'mapM$b': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > 'ZF_ZF_fun$'). 12.10/2.17 tff('function_mapM$b',axiom, 12.10/2.17 'mapM$b'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1') = 'fmb_ZF_ZF_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_fun_app$ad',type,'fun_app$ad': ('ZF_set_ZF_set_fun$' * 'ZF_set$') > 'ZF_set$'). 12.10/2.17 tff('function_fun_app$ad',axiom, 12.10/2.17 'fun_app$ad'('fmb_ZF_set_ZF_set_fun$_1','fmb_ZF_set$_1') = 'fmb_ZF_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_fun_app$aa',type,'fun_app$aa': ('Unit_unit_fun$' * 'Unit$') > 'Unit$'). 12.10/2.17 tff('function_fun_app$aa',axiom, 12.10/2.17 'fun_app$aa'('fmb_Unit_unit_fun$_1','fmb_Unit$_1') = 'fmb_Unit$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_obj$',type,'obj$': ('ZF_ZF_unit_Category_ext$') > 'ZF_set$'). 12.10/2.17 tff('function_obj$',axiom, 12.10/2.17 'obj$'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_homFtorMapContra$',type,'homFtorMapContra$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'B$') > 'A_ZF_fun$'). 12.10/2.17 tff('function_homFtorMapContra$',axiom, 12.10/2.17 'homFtorMapContra$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_B$_1') = 'fmb_A_ZF_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_elem$',type,'elem$': ('ZF$') > 'ZF_bool_fun$'). 12.10/2.17 tff('function_elem$',axiom, 12.10/2.17 'elem$'('fmb_ZF$_1') = 'fmb_ZF_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_comp$a',type,'comp$a': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'B_b_b_fun_fun$'). 12.10/2.17 tff('function_comp$a',axiom, 12.10/2.17 'comp$a'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_B_b_b_fun_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_yFtorNT$',type,'yFtorNT$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'B$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_yFtorNT$',axiom, 12.10/2.17 'yFtorNT$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_B$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTCatCod$f',type,'nTCatCod$f': ('ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$') > 'Unit_unit_unit_Category_ext$'). 12.10/2.17 tff('function_nTCatCod$f',axiom, 12.10/2.17 'nTCatCod$f'('fmb_ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$_1') = 'fmb_Unit_unit_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_fun_app$v',type,'fun_app$v': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'). 12.10/2.17 tff('function_fun_app$v',axiom, 12.10/2.17 'fun_app$v'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$_1','fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTDom$d',type,'nTDom$d': ('A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$') > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'). 12.10/2.17 tff('function_nTDom$d',axiom, 12.10/2.17 'nTDom$d'('fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$_1') = 'fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_catExp$b',type,'catExp$b': ('ZF_ZF_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$'). 12.10/2.17 tff('function_catExp$b',axiom, 12.10/2.17 'catExp$b'('fmb_ZF_ZF_unit_Category_ext$_1','fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_more_update$a',type,'more_update$a': ('Unit_unit_fun$') > 'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$'). 12.10/2.17 tff('function_more_update$a',axiom, 12.10/2.17 'more_update$a'('fmb_Unit_unit_fun$_1') = 'fmb_ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_catDom$d',type,'catDom$d': ('A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$') > 'A_b_b_c_LSCategory_ext_Category_ext$'). 12.10/2.17 tff('function_catDom$d',axiom, 12.10/2.17 'catDom$d'('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' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_fun_app$',type,'fun_app$': ('ZF_ZF_fun$' * 'ZF$') > 'ZF$'). 12.10/2.17 tff('function_fun_app$',axiom, 12.10/2.17 'fun_app$'('fmb_ZF_ZF_fun$_1','fmb_ZF$_1') = 'fmb_ZF$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_comp$d',type,'comp$d': ('ZF_ZF_fun$') > 'ZF_ZF_fun_ZF_ZF_fun_fun$'). 12.10/2.17 tff('function_comp$d',axiom, 12.10/2.17 'comp$d'('fmb_ZF_ZF_fun$_1') = 'fmb_ZF_ZF_fun_ZF_ZF_fun_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_mapO$c',type,'mapO$c': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$') > 'A_ZF_fun$'). 12.10/2.17 tff('function_mapO$c',axiom, 12.10/2.17 'mapO$c'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1') = 'fmb_A_ZF_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_constFunctor$b',type,'constFunctor$b': ('ZF_ZF_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'). 12.10/2.17 tff('function_constFunctor$b',axiom, 12.10/2.17 'constFunctor$b'('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' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_collect$i',type,'collect$i': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$'). 12.10/2.17 tff('function_collect$i',axiom, 12.10/2.17 'collect$i'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_yFtorNT$a',type,'yFtorNT$a': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$'). 12.10/2.17 tff('function_yFtorNT$a',axiom, 12.10/2.17 'yFtorNT$a'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_mapsTo$a',type,'mapsTo$a': ('ZF_ZF_unit_Category_ext$' * 'ZF$' * 'ZF$') > 'ZF_bool_fun$'). 12.10/2.17 tff('function_mapsTo$a',axiom, 12.10/2.17 'mapsTo$a'('fmb_ZF_ZF_unit_Category_ext$_1','fmb_ZF$_1','fmb_ZF$_1') = 'fmb_ZF_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_mapM$c',type,'mapM$c': ('ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'ZF$') > 'B$'). 12.10/2.17 tff('function_mapM$c',axiom, 12.10/2.17 'mapM$c'('fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$_1','fmb_ZF$_1') = 'fmb_B$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_mor$a',type,'mor$a': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$'). 12.10/2.17 tff('function_mor$a',axiom, 12.10/2.17 'mor$a'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_extensional$',type,'extensional$': ('ZF_set$') > 'ZF_ZF_fun_set$'). 12.10/2.17 tff('function_extensional$',axiom, 12.10/2.17 'extensional$'('fmb_ZF_set$_1') = 'fmb_ZF_ZF_fun_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_natTransComp$a',type,'natTransComp$a': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_natTransComp$a',axiom, 12.10/2.17 'natTransComp$a'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1','fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_uug$',type,'uug$': ('ZF_ZF_prod_set$') > 'ZF_ZF_prod_bool_fun$'). 12.10/2.17 tff('function_uug$',axiom, 12.10/2.17 'uug$'('fmb_ZF_ZF_prod_set$_1') = 'fmb_ZF_ZF_prod_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_id$a',type,'id$a': ('ZF_ZF_unit_Category_ext$') > 'ZF_ZF_fun$'). 12.10/2.17 tff('function_id$a',axiom, 12.10/2.17 'id$a'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_image$',type,'image$': ('ZF_ZF_set_fun$' * 'ZF_set$') > 'ZF_set_set$'). 12.10/2.17 tff('function_image$',axiom, 12.10/2.17 'image$'('fmb_ZF_ZF_set_fun$_1','fmb_ZF_set$_1') = 'fmb_ZF_set_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_restrict$b',type,'restrict$b': ('B_ZF_fun$' * 'B_set$') > 'B_ZF_fun$'). 12.10/2.17 tff('function_restrict$b',axiom, 12.10/2.17 'restrict$b'('fmb_B_ZF_fun$_1','fmb_B_set$_1') = 'fmb_B_ZF_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_uuj$',type,'uuj$': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'B_b_b_fun_fun$'). 12.10/2.17 tff('function_uuj$',axiom, 12.10/2.17 'uuj$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_B_b_b_fun_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_id_update$',type,'id_update$': ('ZF_ZF_fun_ZF_ZF_fun_fun$') > 'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$'). 12.10/2.17 tff('function_id_update$',axiom, 12.10/2.17 'id_update$'('fmb_ZF_ZF_fun_ZF_ZF_fun_fun$_1') = 'fmb_ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_yFtor$',type,'yFtor$': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$'). 12.10/2.17 tff('function_yFtor$',axiom, 12.10/2.17 'yFtor$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 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$'). 12.10/2.17 tff('function_homFtor$a',axiom, 12.10/2.17 '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' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_idNatTrans$a',type,'idNatTrans$a': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_idNatTrans$a',axiom, 12.10/2.17 'idNatTrans$a'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_cod$',type,'cod$': ('ZF_ZF_unit_Category_ext$') > 'ZF_ZF_fun$'). 12.10/2.17 tff('function_cod$',axiom, 12.10/2.17 'cod$'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_pair$',type,'pair$': ('ZF$' * 'ZF$') > 'ZF_ZF_prod$'). 12.10/2.17 tff('function_pair$',axiom, 12.10/2.17 'pair$'('fmb_ZF$_1','fmb_ZF$_1') = 'fmb_ZF_ZF_prod$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTCod$d',type,'nTCod$d': ('A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$') > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'). 12.10/2.17 tff('function_nTCod$d',axiom, 12.10/2.17 'nTCod$d'('fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$_1') = 'fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_makeCat$b',type,'makeCat$b': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$'). 12.10/2.17 tff('function_makeCat$b',axiom, 12.10/2.17 'makeCat$b'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTCod$b',type,'nTCod$b': ('ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$') > 'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$'). 12.10/2.17 tff('function_nTCod$b',axiom, 12.10/2.17 'nTCod$b'('fmb_ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$_1') = 'fmb_ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_homSet$',type,'homSet$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'A$') > 'A_ZF_fun$'). 12.10/2.17 tff('function_homSet$',axiom, 12.10/2.17 'homSet$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1','fmb_A$_1') = 'fmb_A_ZF_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_uue$',type,'uue$': ('A_ZF_fun_set$') > 'A_ZF_fun_bool_fun$'). 12.10/2.17 tff('function_uue$',axiom, 12.10/2.17 'uue$'('fmb_A_ZF_fun_set$_1') = 'fmb_A_ZF_fun_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_collect$g',type,'collect$g': ('A_ZF_fun_bool_fun$') > 'A_ZF_fun_set$'). 12.10/2.17 tff('function_collect$g',axiom, 12.10/2.17 'collect$g'('fmb_A_ZF_fun_bool_fun$_1') = 'fmb_A_ZF_fun_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTCatDom$',type,'nTCatDom$': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$') > 'A_b_b_c_LSCategory_ext_Category_ext$'). 12.10/2.17 tff('function_nTCatDom$',axiom, 12.10/2.17 'nTCatDom$'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1') = 'fmb_A_b_b_c_LSCategory_ext_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_fun_app$y',type,'fun_app$y': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'). 12.10/2.17 tff('function_fun_app$y',axiom, 12.10/2.17 'fun_app$y'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$_1','fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1') = 'fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_mapO$d',type,'mapO$d': ('ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$' * 'ZF$') > 'Unit$'). 12.10/2.17 tff('function_mapO$d',axiom, 12.10/2.17 'mapO$d'('fmb_ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$_1','fmb_ZF$_1') = 'fmb_Unit$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_mor$b',type,'mor$b': ('ZF_ZF_unit_Category_ext$') > 'ZF_set$'). 12.10/2.17 tff('function_mor$b',axiom, 12.10/2.17 'mor$b'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTCatCod$c',type,'nTCatCod$c': ('ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$'). 12.10/2.17 tff('function_nTCatCod$c',axiom, 12.10/2.17 'nTCatCod$c'('fmb_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_natTransComp$e',type,'natTransComp$e': ('A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' * 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$') > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$'). 12.10/2.17 tff('function_natTransComp$e',axiom, 12.10/2.17 'natTransComp$e'('fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$_1','fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$_1') = 'fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_uuc$',type,'uuc$': ('B_ZF_fun_set$') > 'B_ZF_fun_bool_fun$'). 12.10/2.17 tff('function_uuc$',axiom, 12.10/2.17 'uuc$'('fmb_B_ZF_fun_set$_1') = 'fmb_B_ZF_fun_bool_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTCatCod$b',type,'nTCatCod$b': ('ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$') > 'A_b_b_c_LSCategory_ext_Category_ext$'). 12.10/2.17 tff('function_nTCatCod$b',axiom, 12.10/2.17 'nTCatCod$b'('fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$_1') = 'fmb_A_b_b_c_LSCategory_ext_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_dom$a',type,'dom$a': ('ZF_ZF_unit_Category_ext$') > 'ZF_ZF_fun$'). 12.10/2.17 tff('function_dom$a',axiom, 12.10/2.17 'dom$a'('fmb_ZF_ZF_unit_Category_ext$_1') = 'fmb_ZF_ZF_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_nTCatDom$e',type,'nTCatDom$e': ('A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$') > 'A_b_b_c_LSCategory_ext_Category_ext$'). 12.10/2.17 tff('function_nTCatDom$e',axiom, 12.10/2.17 'nTCatDom$e'('fmb_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1') = 'fmb_A_b_b_c_LSCategory_ext_Category_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_comp$c',type,'comp$c': ('Unit_unit_unit_Category_ext$' * 'Unit$') > 'Unit_unit_fun$'). 12.10/2.17 tff('function_comp$c',axiom, 12.10/2.17 'comp$c'('fmb_Unit_unit_unit_Category_ext$_1','fmb_Unit$_1') = 'fmb_Unit_unit_fun$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_mapO$a',type,'mapO$a': ('A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A$') > 'A$'). 12.10/2.17 tff('function_mapO$a',axiom, 12.10/2.17 'mapO$a'('fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$_1','fmb_A$_1') = 'fmb_A$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_mapO$e',type,'mapO$e': ('ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' * 'ZF$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'). 12.10/2.17 tff('function_mapO$e',axiom, 12.10/2.17 'mapO$e'('fmb_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$_1','fmb_ZF$_1') = 'fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_mor$',type,'mor$': ('A_b_b_c_LSCategory_ext_Category_ext$') > 'B_set$'). 12.10/2.17 tff('function_mor$',axiom, 12.10/2.17 'mor$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') = 'fmb_B_set$_1' 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_member$j',type,'member$j': ('ZF_ZF_fun$' * 'ZF_ZF_fun_set$') > $o). 12.10/2.17 tff('predicate_member$j',axiom, 12.10/2.17 'member$j'('fmb_ZF_ZF_fun$_1','fmb_ZF_ZF_fun_set$_1') 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_member$n',type,'member$n': ('B_b_prod_b_fun$' * 'B_b_prod_b_fun_set$') > $o). 12.10/2.17 tff('predicate_member$n',axiom, 12.10/2.17 ~'member$n'('fmb_B_b_prod_b_fun$_1','fmb_B_b_prod_b_fun_set$_1') 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_fun_app$e',type,'fun_app$e': ('B_ZF_fun_bool_fun$' * 'B_ZF_fun$') > $o). 12.10/2.17 tff('predicate_fun_app$e',axiom, 12.10/2.17 'fun_app$e'('fmb_B_ZF_fun_bool_fun$_1','fmb_B_ZF_fun$_1') 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_extCategory$',type,'extCategory$': ('A_b_b_c_LSCategory_ext_Category_ext$') > $o). 12.10/2.17 tff('predicate_extCategory$',axiom, 12.10/2.17 ~'extCategory$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') 12.10/2.17 12.10/2.17 ). 12.10/2.17 12.10/2.17 tff('declare_functor_comp_def$c',type,'functor_comp_def$c': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > $o). 12.10/2.17 tff('predicate_functor_comp_def$c',axiom, 12.10/2.17 'functor_comp_def$c'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1','fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_lSCategory$',type,'lSCategory$': ('A_b_b_c_LSCategory_ext_Category_ext$') > $o). 12.10/2.18 tff('predicate_lSCategory$',axiom, 12.10/2.18 'lSCategory$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_fun_app$a',type,'fun_app$a': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$') > $o). 12.10/2.18 tff('predicate_fun_app$a',axiom, 12.10/2.18 'fun_app$a'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$_1','fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_member$f',type,'member$f': ('A_ZF_fun$' * 'A_ZF_fun_set$') > $o). 12.10/2.18 tff('predicate_member$f',axiom, 12.10/2.18 'member$f'('fmb_A_ZF_fun$_1','fmb_A_ZF_fun_set$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_functor_comp_def$b',type,'functor_comp_def$b': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > $o). 12.10/2.18 tff('predicate_functor_comp_def$b',axiom, 12.10/2.18 'functor_comp_def$b'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1','fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_natTransP$f',type,'natTransP$f': ('A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$') > $o). 12.10/2.18 tff('predicate_natTransP$f',axiom, 12.10/2.18 ~'natTransP$f'('fmb_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_fun_app$q',type,'fun_app$q': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$') > $o). 12.10/2.18 tff('predicate_fun_app$q',axiom, 12.10/2.18 'fun_app$q'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$_1','fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_fun_app$b',type,'fun_app$b': ('ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod$') > $o). 12.10/2.18 tff('predicate_fun_app$b',axiom, 12.10/2.18 'fun_app$b'('fmb_ZF_ZF_prod_bool_fun$_1','fmb_ZF_ZF_prod$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_category$a',type,'category$a': ('ZF_ZF_unit_Category_ext$') > $o). 12.10/2.18 tff('predicate_category$a',axiom, 12.10/2.18 'category$a'('fmb_ZF_ZF_unit_Category_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_functor_comp_def$a',type,'functor_comp_def$a': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' * 'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$') > $o). 12.10/2.18 tff('predicate_functor_comp_def$a',axiom, 12.10/2.18 'functor_comp_def$a'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1','fmb_ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_category$b',type,'category$b': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$') > $o). 12.10/2.18 tff('predicate_category$b',axiom, 12.10/2.18 'category$b'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_functorM_axioms$',type,'functorM_axioms$': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > $o). 12.10/2.18 tff('predicate_functorM_axioms$',axiom, 12.10/2.18 'functorM_axioms$'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_functorExt$',type,'functorExt$': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > $o). 12.10/2.18 tff('predicate_functorExt$',axiom, 12.10/2.18 'functorExt$'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_category$',type,'category$': ('A_b_b_c_LSCategory_ext_Category_ext$') > $o). 12.10/2.18 tff('predicate_category$',axiom, 12.10/2.18 'category$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_nTCompDefined$',type,'nTCompDefined$': ('ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$') > $o). 12.10/2.18 tff('predicate_nTCompDefined$',axiom, 12.10/2.18 'nTCompDefined$'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1','fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_equivalence$',type,'equivalence$': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > $o). 12.10/2.18 tff('predicate_equivalence$',axiom, 12.10/2.18 ~'equivalence$'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_member$m',type,'member$m': ('ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_ZF_fun_set$') > $o). 12.10/2.18 tff('predicate_member$m',axiom, 12.10/2.18 'member$m'('fmb_ZF_ZF_prod_ZF_fun$_1','fmb_ZF_ZF_prod_ZF_fun_set$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_natTrans$a',type,'natTrans$a': ('ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$') > $o). 12.10/2.18 tff('predicate_natTrans$a',axiom, 12.10/2.18 'natTrans$a'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_fun_app$d',type,'fun_app$d': ('ZF_bool_fun$' * 'ZF$') > $o). 12.10/2.18 tff('predicate_fun_app$d',axiom, 12.10/2.18 'fun_app$d'('fmb_ZF_bool_fun$_1','fmb_ZF$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_natTransP$e',type,'natTransP$e': ('ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$') > $o). 12.10/2.18 tff('predicate_natTransP$e',axiom, 12.10/2.18 ~'natTransP$e'('fmb_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_nTCompDefined$b',type,'nTCompDefined$b': ('ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' * 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$') > $o). 12.10/2.18 tff('predicate_nTCompDefined$b',axiom, 12.10/2.18 ~'nTCompDefined$b'('fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$_1','fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_member$c',type,'member$c': ('ZF$' * 'ZF_set$') > $o). 12.10/2.18 tff('predicate_member$c',axiom, 12.10/2.18 'member$c'('fmb_ZF$_1','fmb_ZF_set$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_member$g',type,'member$g': ('A_b_fun$' * 'A_b_fun_set$') > $o). 12.10/2.18 tff('predicate_member$g',axiom, 12.10/2.18 ~'member$g'('fmb_A_b_fun$_1','fmb_A_b_fun_set$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_compDefined$c',type,'compDefined$c': ('Unit_unit_unit_Category_ext$' * 'Unit$' * 'Unit$') > $o). 12.10/2.18 tff('predicate_compDefined$c',axiom, 12.10/2.18 'compDefined$c'('fmb_Unit_unit_unit_Category_ext$_1','fmb_Unit$_1','fmb_Unit$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_natTransP$b',type,'natTransP$b': ('ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$') > $o). 12.10/2.18 tff('predicate_natTransP$b',axiom, 12.10/2.18 'natTransP$b'('fmb_ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_functor_comp_def$',type,'functor_comp_def$': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$') > $o). 12.10/2.18 tff('predicate_functor_comp_def$',axiom, 12.10/2.18 'functor_comp_def$'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1','fmb_ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_functor$d',type,'functor$d': ('A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$') > $o). 12.10/2.18 tff('predicate_functor$d',axiom, 12.10/2.18 ~'functor$d'('fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_functor$f',type,'functor$f': ('A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$') > $o). 12.10/2.18 tff('predicate_functor$f',axiom, 12.10/2.18 ~'functor$f'('fmb_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_category_axioms$b',type,'category_axioms$b': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$') > $o). 12.10/2.18 tff('predicate_category_axioms$b',axiom, 12.10/2.18 'category_axioms$b'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_lSCategory_axioms$',type,'lSCategory_axioms$': ('A_b_b_c_LSCategory_ext_Category_ext$') > $o). 12.10/2.18 tff('predicate_lSCategory_axioms$',axiom, 12.10/2.18 'lSCategory_axioms$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_member$e',type,'member$e': ('B_a_fun$' * 'B_a_fun_set$') > $o). 12.10/2.18 tff('predicate_member$e',axiom, 12.10/2.18 ~'member$e'('fmb_B_a_fun$_1','fmb_B_a_fun_set$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_nTCompDefined$e',type,'nTCompDefined$e': ('A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * 'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$') > $o). 12.10/2.18 tff('predicate_nTCompDefined$e',axiom, 12.10/2.18 ~'nTCompDefined$e'('fmb_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1','fmb_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_fun_app$c',type,'fun_app$c': ('B_b_prod_bool_fun$' * 'B_b_prod$') > $o). 12.10/2.18 tff('predicate_fun_app$c',axiom, 12.10/2.18 'fun_app$c'('fmb_B_b_prod_bool_fun$_1','fmb_B_b_prod$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_natTrans$e',type,'natTrans$e': ('ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$') > $o). 12.10/2.18 tff('predicate_natTrans$e',axiom, 12.10/2.18 ~'natTrans$e'('fmb_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_functor_abbrev$b',type,'functor_abbrev$b': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$') > $o). 12.10/2.18 tff('predicate_functor_abbrev$b',axiom, 12.10/2.18 'functor_abbrev$b'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1','fmb_ZF_ZF_unit_Category_ext$_1','fmb_ZF_ZF_unit_Category_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_nt_abbrev$b',type,'nt_abbrev$b': ('ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' * 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$') > $o). 12.10/2.18 tff('predicate_nt_abbrev$b',axiom, 12.10/2.18 ~'nt_abbrev$b'('fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$_1','fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$_1','fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_fun_app$g',type,'fun_app$g': ('A_ZF_fun_bool_fun$' * 'A_ZF_fun$') > $o). 12.10/2.18 tff('predicate_fun_app$g',axiom, 12.10/2.18 'fun_app$g'('fmb_A_ZF_fun_bool_fun$_1','fmb_A_ZF_fun$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_extCategory$a',type,'extCategory$a': ('ZF_ZF_unit_Category_ext$') > $o). 12.10/2.18 tff('predicate_extCategory$a',axiom, 12.10/2.18 'extCategory$a'('fmb_ZF_ZF_unit_Category_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_category_axioms$',type,'category_axioms$': ('A_b_b_c_LSCategory_ext_Category_ext$') > $o). 12.10/2.18 tff('predicate_category_axioms$',axiom, 12.10/2.18 'category_axioms$'('fmb_A_b_b_c_LSCategory_ext_Category_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 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$') > $o). 12.10/2.18 tff('predicate_functor_abbrev$',axiom, 12.10/2.18 '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') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_natTransExt$',type,'natTransExt$': ('ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$') > $o). 12.10/2.18 tff('predicate_natTransExt$',axiom, 12.10/2.18 'natTransExt$'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_functorM$',type,'functorM$': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > $o). 12.10/2.18 tff('predicate_functorM$',axiom, 12.10/2.18 'functorM$'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_natTransP$d',type,'natTransP$d': ('A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$') > $o). 12.10/2.18 tff('predicate_natTransP$d',axiom, 12.10/2.18 ~'natTransP$d'('fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_natTrans$b',type,'natTrans$b': ('ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$') > $o). 12.10/2.18 tff('predicate_natTrans$b',axiom, 12.10/2.18 'natTrans$b'('fmb_ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_mapsTo$c',type,'mapsTo$c': ('Unit_unit_unit_Category_ext$' * 'Unit$' * 'Unit$' * 'Unit$') > $o). 12.10/2.18 tff('predicate_mapsTo$c',axiom, 12.10/2.18 'mapsTo$c'('fmb_Unit_unit_unit_Category_ext$_1','fmb_Unit$_1','fmb_Unit$_1','fmb_Unit$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_natTrans$c',type,'natTrans$c': ('ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$') > $o). 12.10/2.18 tff('predicate_natTrans$c',axiom, 12.10/2.18 ~'natTrans$c'('fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_fun_app$j',type,'fun_app$j': ('A_bool_fun$' * 'A$') > $o). 12.10/2.18 tff('predicate_fun_app$j',axiom, 12.10/2.18 'fun_app$j'('fmb_A_bool_fun$_1','fmb_A$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_functor$b',type,'functor$b': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > $o). 12.10/2.18 tff('predicate_functor$b',axiom, 12.10/2.18 'functor$b'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_compDefined$b',type,'compDefined$b': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$') > $o). 12.10/2.18 tff('predicate_compDefined$b',axiom, 12.10/2.18 'compDefined$b'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$_1','fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1','fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_functor_abbrev$a',type,'functor_abbrev$a': ('ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$' * 'ZF_ZF_unit_Category_ext$' * 'Unit_unit_unit_Category_ext$') > $o). 12.10/2.18 tff('predicate_functor_abbrev$a',axiom, 12.10/2.18 'functor_abbrev$a'('fmb_ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$_1','fmb_ZF_ZF_unit_Category_ext$_1','fmb_Unit_unit_unit_Category_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_functor$e',type,'functor$e': ('ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$') > $o). 12.10/2.18 tff('predicate_functor$e',axiom, 12.10/2.18 ~'functor$e'('fmb_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_natTrans$d',type,'natTrans$d': ('A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$') > $o). 12.10/2.18 tff('predicate_natTrans$d',axiom, 12.10/2.18 ~'natTrans$d'('fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_member$h',type,'member$h': ('B$' * 'B_set$') > $o). 12.10/2.18 tff('predicate_member$h',axiom, 12.10/2.18 'member$h'('fmb_B$_1','fmb_B_set$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_member$a',type,'member$a': ('ZF_ZF_prod$' * 'ZF_ZF_prod_set$') > $o). 12.10/2.18 tff('predicate_member$a',axiom, 12.10/2.18 'member$a'('fmb_ZF_ZF_prod$_1','fmb_ZF_ZF_prod_set$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_member$i',type,'member$i': ('A$' * 'A_set$') > $o). 12.10/2.18 tff('predicate_member$i',axiom, 12.10/2.18 'member$i'('fmb_A$_1','fmb_A_set$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_natTrans$f',type,'natTrans$f': ('A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$') > $o). 12.10/2.18 tff('predicate_natTrans$f',axiom, 12.10/2.18 ~'natTrans$f'('fmb_A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_nTCompDefined$c',type,'nTCompDefined$c': ('ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$' * 'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$') > $o). 12.10/2.18 tff('predicate_nTCompDefined$c',axiom, 12.10/2.18 ~'nTCompDefined$c'('fmb_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$_1','fmb_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_natTransP$c',type,'natTransP$c': ('ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$') > $o). 12.10/2.18 tff('predicate_natTransP$c',axiom, 12.10/2.18 ~'natTransP$c'('fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_nTCompDefined$d',type,'nTCompDefined$d': ('A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' * 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$') > $o). 12.10/2.18 tff('predicate_nTCompDefined$d',axiom, 12.10/2.18 ~'nTCompDefined$d'('fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$_1','fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_fun_app$f',type,'fun_app$f': ('B_a_fun_bool_fun$' * 'B_a_fun$') > $o). 12.10/2.18 tff('predicate_fun_app$f',axiom, 12.10/2.18 ~'fun_app$f'('fmb_B_a_fun_bool_fun$_1','fmb_B_a_fun$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_category_axioms$a',type,'category_axioms$a': ('ZF_ZF_unit_Category_ext$') > $o). 12.10/2.18 tff('predicate_category_axioms$a',axiom, 12.10/2.18 'category_axioms$a'('fmb_ZF_ZF_unit_Category_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_nt_abbrev$c',type,'nt_abbrev$c': ('A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' * 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$') > $o). 12.10/2.18 tff('predicate_nt_abbrev$c',axiom, 12.10/2.18 ~'nt_abbrev$c'('fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$_1','fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$_1','fmb_A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_preFunctor$a',type,'preFunctor$a': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > $o). 12.10/2.18 tff('predicate_preFunctor$a',axiom, 12.10/2.18 'preFunctor$a'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_member$b',type,'member$b': ('B_b_prod$' * 'B_b_prod_set$') > $o). 12.10/2.18 tff('predicate_member$b',axiom, 12.10/2.18 'member$b'('fmb_B_b_prod$_1','fmb_B_b_prod_set$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_fun_app$i',type,'fun_app$i': ('B_bool_fun$' * 'B$') > $o). 12.10/2.18 tff('predicate_fun_app$i',axiom, 12.10/2.18 'fun_app$i'('fmb_B_bool_fun$_1','fmb_B$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_member$',type,'member$': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$') > $o). 12.10/2.18 tff('predicate_member$',axiom, 12.10/2.18 'member$'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_1','fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_mapsTo$b',type,'mapsTo$b': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > $o). 12.10/2.18 tff('predicate_mapsTo$b',axiom, 12.10/2.18 ~'mapsTo$b'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$_1','fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1','fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1','fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_fun_app$h',type,'fun_app$h': ('A_b_fun_bool_fun$' * 'A_b_fun$') > $o). 12.10/2.18 tff('predicate_fun_app$h',axiom, 12.10/2.18 ~'fun_app$h'('fmb_A_b_fun_bool_fun$_1','fmb_A_b_fun$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_member$k',type,'member$k': ('Unit$' * 'Unit_set$') > $o). 12.10/2.18 tff('predicate_member$k',axiom, 12.10/2.18 'member$k'('fmb_Unit$_1','fmb_Unit_set$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_natTransP$',type,'natTransP$': ('ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$') > $o). 12.10/2.18 tff('predicate_natTransP$',axiom, 12.10/2.18 'natTransP$'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_nt_abbrev$',type,'nt_abbrev$': ('ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > $o). 12.10/2.18 tff('predicate_nt_abbrev$',axiom, 12.10/2.18 'nt_abbrev$'('fmb_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$_1','fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1','fmb_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_member$d',type,'member$d': ('B_ZF_fun$' * 'B_ZF_fun_set$') > $o). 12.10/2.18 tff('predicate_member$d',axiom, 12.10/2.18 'member$d'('fmb_B_ZF_fun$_1','fmb_B_ZF_fun_set$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_functor$a',type,'functor$a': ('ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$') > $o). 12.10/2.18 tff('predicate_functor$a',axiom, 12.10/2.18 'functor$a'('fmb_ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_functor$c',type,'functor$c': ('ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$') > $o). 12.10/2.18 tff('predicate_functor$c',axiom, 12.10/2.18 ~'functor$c'('fmb_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_member$l',type,'member$l': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$') > $o). 12.10/2.18 tff('predicate_member$l',axiom, 12.10/2.18 ~'member$l'('fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_1','fmb_A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 tff('declare_member$o',type,'member$o': ('ZF_set$' * 'ZF_set_set$') > $o). 12.10/2.18 tff('predicate_member$o',axiom, 12.10/2.18 'member$o'('fmb_ZF_set$_1','fmb_ZF_set_set$_1') 12.10/2.18 12.10/2.18 ). 12.10/2.18 12.10/2.18 % SZS output end FiniteModel for theBenchmark 12.10/2.18 % (11144)------------------------------ 12.10/2.18 % (11144)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 12.10/2.18 % (11144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.10/2.18 % (11144)Termination reason: Satisfiable 12.10/2.18 12.10/2.18 % (11144)Time elapsed: 0.999 s 12.10/2.18 % (11144)Peak memory usage: 39 MB 12.10/2.18 % (11144)Instructions burned: 3530 (million) 12.10/2.18 % (11144)------------------------------ 12.10/2.18 % (11144)------------------------------ 12.10/2.18 % (11108)Success in time 1.814 s 12.10/2.18 EOF