0.08/0.16 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.16 % Command : run_vampire %s %d SAT 0.08/0.40 % Computer : n024.cluster.edu 0.08/0.40 % Model : x86_64 x86_64 0.08/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.40 % Memory : 8042.1875MB 0.08/0.40 % OS : Linux 3.10.0-693.el7.x86_64 0.08/0.40 % CPULimit : 960 0.08/0.40 % WCLimit : 120 0.08/0.40 % DateTime : Wed Jul 30 06:19:19 EDT 2025 0.08/0.40 % CPUTime : 0.08/0.41 This is a TFF_ problem 0.08/0.42 Running first-order model finding 0.08/0.42 Running /export/starexec/sandbox/solver/bin/vampire --mode casc --intent sat -m 16384 --cores 7 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.15/0.50 % (17134)Running in auto input_syntax mode. Trying TPTP 0.15/0.50 % (17140)ott+31_1_sil=16000:bce=on:lcm=predicate:newcnf=on:random_seed=2470626357:i=116_1199 on theBenchmark for (1199ds/116Mi) 0.15/0.52 % (17134)Running in auto input_syntax mode. Trying TPTP 0.15/0.52 % (17141)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3814711645:i=131_1199 on theBenchmark for (1199ds/131Mi) 0.15/0.52 % (17134)Running in auto input_syntax mode. Trying TPTP 0.15/0.52 % (17137)dis+11_61:31_drc=ordering:lsd=5:abs=on:bsr=unit_only:rp=on:newcnf=on:random_seed=718216162:i=135531:add=off:rawr=on_1199 on theBenchmark for (1199ds/135531Mi) 0.15/0.52 % (17134)Running in auto input_syntax mode. Trying TPTP 0.15/0.52 % (17139)dis+10_1_sil=32000:sp=arity:random_seed=740029140:i=103:fgj=on_1199 on theBenchmark for (1199ds/103Mi) 0.15/0.52 % (17134)Running in auto input_syntax mode. Trying TPTP 0.15/0.52 % (17142)ott-3_16_to=lpo:sil=16000:sp=arity:abs=on:fd=off:rp=on:random_seed=2819761276:i=159:nicw=on:bs=unit_only:fsr=off:amm=off_1199 on theBenchmark for (1199ds/159Mi) 0.15/0.52 % (17134)Running in auto input_syntax mode. Trying TPTP 0.15/0.52 % (17138)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1126622589:gsem=randomized:i=88024:add=on:uhcvi=off:rawr=on_1199 on theBenchmark for (1199ds/88024Mi) 0.15/0.52 % (17134)Running in auto input_syntax mode. Trying TPTP 0.15/0.52 % (17136)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2462207964_1199 on theBenchmark for (1199ds/0Mi) 0.15/0.54 % (17140)Instruction limit reached! 0.15/0.54 % (17140)------------------------------ 0.15/0.54 % (17140)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.15/0.54 % (17140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.15/0.54 % (17140)Termination reason: Instruction limit 0.15/0.54 % (17140)Termination phase: Saturation 0.15/0.54 0.15/0.54 % (17140)Time elapsed: 0.034 s 0.15/0.54 % (17140)Peak memory usage: 10 MB 0.15/0.54 % (17140)Instructions burned: 117 (million) 0.93/0.57 % (17139)Instruction limit reached! 0.93/0.57 % (17139)------------------------------ 0.93/0.57 % (17139)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.93/0.57 % (17139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.93/0.57 % (17139)Termination reason: Instruction limit 0.93/0.57 % (17139)Termination phase: Saturation 0.93/0.57 0.93/0.57 % (17139)Time elapsed: 0.053 s 0.93/0.57 % (17139)Peak memory usage: 10 MB 0.93/0.57 % (17139)Instructions burned: 105 (million) 0.93/0.58 % (17141)Instruction limit reached! 0.93/0.58 % (17141)------------------------------ 0.93/0.58 % (17141)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.93/0.58 % (17141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.93/0.58 % (17141)Termination reason: Instruction limit 0.93/0.58 % (17141)Termination phase: Saturation 0.93/0.58 0.93/0.58 % (17141)Time elapsed: 0.064 s 0.93/0.58 % (17141)Peak memory usage: 10 MB 0.93/0.58 % (17141)Instructions burned: 131 (million) 0.93/0.59 % (17134)Running in auto input_syntax mode. Trying TPTP 0.93/0.59 % (17150)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2596012138:i=714:nm=2_1198 on theBenchmark for (1198ds/714Mi) 0.93/0.60 % (17142)Instruction limit reached! 0.93/0.60 % (17142)------------------------------ 0.93/0.60 % (17142)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.93/0.60 % (17142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.93/0.60 % (17142)Termination reason: Instruction limit 0.93/0.60 % (17142)Termination phase: Saturation 0.93/0.60 0.93/0.60 % (17142)Time elapsed: 0.084 s 0.93/0.60 % (17142)Peak memory usage: 11 MB 0.93/0.60 % (17142)Instructions burned: 159 (million) 1.21/0.64 % (17134)Running in auto input_syntax mode. Trying TPTP 1.21/0.64 % (17151)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=103355261:i=131:bd=preordered:fsd=on_1198 on theBenchmark for (1198ds/131Mi) 1.21/0.65 % (17134)Running in auto input_syntax mode. Trying TPTP 1.21/0.65 % (17152)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=3568031236:i=684:slsql=off:nicw=on:bs=unit_only:rawr=on_1198 on theBenchmark for (1198ds/684Mi) 1.33/0.67 % (17134)Running in auto input_syntax mode. Trying TPTP 1.33/0.67 % (17154)ott-21_1_sil=16000:fs=off:random_seed=3038171952:i=180:av=off:fsr=off_1198 on theBenchmark for (1198ds/180Mi) 1.33/0.71 % (17151)Instruction limit reached! 1.33/0.71 % (17151)------------------------------ 1.33/0.71 % (17151)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.33/0.71 % (17151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.33/0.71 % (17151)Termination reason: Instruction limit 1.33/0.71 % (17151)Termination phase: Saturation 1.33/0.71 1.33/0.71 % (17151)Time elapsed: 0.067 s 1.33/0.71 % (17151)Peak memory usage: 10 MB 1.33/0.71 % (17151)Instructions burned: 132 (million) 1.80/0.73 % TRYING [1] 1.80/0.74 % Finite Model Found! 1.80/0.74 % SZS status Satisfiable for theBenchmark 1.80/0.75 % (17150)First to succeed. 1.80/0.75 % (17150)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17134" 1.80/0.75 % (17134)Running in auto input_syntax mode. Trying TPTP 1.80/0.75 % SZS output start FiniteModel for theBenchmark 1.80/0.75 tff('declare_$i1',type,'fmb_$i_1':$i). 1.80/0.75 tff('finite_domain_$i',axiom, 1.80/0.75 ! [X:$i] : ( 1.80/0.75 X = 'fmb_$i_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',type,'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$1',type,'fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1':'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_A_ell2_a_ell2_cblinfun$',type,'A_ell2_a_ell2_cblinfun$':$tType). 1.80/0.75 tff('declare_A_ell2_a_ell2_cblinfun$1',type,'fmb_A_ell2_a_ell2_cblinfun$_1':'A_ell2_a_ell2_cblinfun$'). 1.80/0.75 tff('finite_domain_A_ell2_a_ell2_cblinfun$',axiom, 1.80/0.75 ! [X:'A_ell2_a_ell2_cblinfun$'] : ( 1.80/0.75 X = 'fmb_A_ell2_a_ell2_cblinfun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$',type,'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$1',type,'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$_1':'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,'fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1':'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$',type,'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$1',type,'fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$_1':'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_B_ell2_b_ell2_cblinfun$',type,'B_ell2_b_ell2_cblinfun$':$tType). 1.80/0.75 tff('declare_B_ell2_b_ell2_cblinfun$1',type,'fmb_B_ell2_b_ell2_cblinfun$_1':'B_ell2_b_ell2_cblinfun$'). 1.80/0.75 tff('finite_domain_B_ell2_b_ell2_cblinfun$',axiom, 1.80/0.75 ! [X:'B_ell2_b_ell2_cblinfun$'] : ( 1.80/0.75 X = 'fmb_B_ell2_b_ell2_cblinfun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_set_fun$',type,'A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_set_fun$':$tType). 1.80/0.75 tff('declare_A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_set_fun$1',type,'fmb_A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_set_fun$_1':'A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_set_fun$'). 1.80/0.75 tff('finite_domain_A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_set_fun$',axiom, 1.80/0.75 ! [X:'A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_set_fun$'] : ( 1.80/0.75 X = 'fmb_A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_set_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$',type,'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$1',type,'fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1':'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$',type,'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$1',type,'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1':'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$',type,'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$1',type,'fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$_1':'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_Nat_set_nat_fun$',type,'Nat_set_nat_fun$':$tType). 1.80/0.75 tff('declare_Nat_set_nat_fun$1',type,'fmb_Nat_set_nat_fun$_1':'Nat_set_nat_fun$'). 1.80/0.75 tff('finite_domain_Nat_set_nat_fun$',axiom, 1.80/0.75 ! [X:'Nat_set_nat_fun$'] : ( 1.80/0.75 X = 'fmb_Nat_set_nat_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_set$',type,'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_set$':$tType). 1.80/0.75 tff('declare_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_set$1',type,'fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_set$_1':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_set$'). 1.80/0.75 tff('finite_domain_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_set$',axiom, 1.80/0.75 ! [X:'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_set$'] : ( 1.80/0.75 X = 'fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_set$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_A_b_prod_ell2_a_b_prod_ell2_cblinfun_set$',type,'A_b_prod_ell2_a_b_prod_ell2_cblinfun_set$':$tType). 1.80/0.75 tff('declare_A_b_prod_ell2_a_b_prod_ell2_cblinfun_set$1',type,'fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_set$_1':'A_b_prod_ell2_a_b_prod_ell2_cblinfun_set$'). 1.80/0.75 tff('finite_domain_A_b_prod_ell2_a_b_prod_ell2_cblinfun_set$',axiom, 1.80/0.75 ! [X:'A_b_prod_ell2_a_b_prod_ell2_cblinfun_set$'] : ( 1.80/0.75 X = 'fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_set$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$',type,'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$1',type,'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$_1':'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_Nat_nat_fun_set$',type,'Nat_nat_fun_set$':$tType). 1.80/0.75 tff('declare_Nat_nat_fun_set$1',type,'fmb_Nat_nat_fun_set$_1':'Nat_nat_fun_set$'). 1.80/0.75 tff('finite_domain_Nat_nat_fun_set$',axiom, 1.80/0.75 ! [X:'Nat_nat_fun_set$'] : ( 1.80/0.75 X = 'fmb_Nat_nat_fun_set$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_set$',type,'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_set$':$tType). 1.80/0.75 tff('declare_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_set$1',type,'fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_set$_1':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_set$'). 1.80/0.75 tff('finite_domain_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_set$',axiom, 1.80/0.75 ! [X:'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_set$'] : ( 1.80/0.75 X = 'fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_set$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$',type,'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$1',type,'fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$_1':'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_C_ell2_c_ell2_cblinfun$',type,'C_ell2_c_ell2_cblinfun$':$tType). 1.80/0.75 tff('declare_C_ell2_c_ell2_cblinfun$1',type,'fmb_C_ell2_c_ell2_cblinfun$_1':'C_ell2_c_ell2_cblinfun$'). 1.80/0.75 tff('finite_domain_C_ell2_c_ell2_cblinfun$',axiom, 1.80/0.75 ! [X:'C_ell2_c_ell2_cblinfun$'] : ( 1.80/0.75 X = 'fmb_C_ell2_c_ell2_cblinfun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_C_ell2_c_ell2_cblinfun_bool_fun$',type,'C_ell2_c_ell2_cblinfun_bool_fun$':$tType). 1.80/0.75 tff('declare_C_ell2_c_ell2_cblinfun_bool_fun$1',type,'fmb_C_ell2_c_ell2_cblinfun_bool_fun$_1':'C_ell2_c_ell2_cblinfun_bool_fun$'). 1.80/0.75 tff('finite_domain_C_ell2_c_ell2_cblinfun_bool_fun$',axiom, 1.80/0.75 ! [X:'C_ell2_c_ell2_cblinfun_bool_fun$'] : ( 1.80/0.75 X = 'fmb_C_ell2_c_ell2_cblinfun_bool_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$',type,'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$1',type,'fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$_1':'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$',type,'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$1',type,'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$_1':'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$',type,'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$1',type,'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1':'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_Nat_nat_fun_nat_nat_fun_fun$',type,'Nat_nat_fun_nat_nat_fun_fun$':$tType). 1.80/0.75 tff('declare_Nat_nat_fun_nat_nat_fun_fun$1',type,'fmb_Nat_nat_fun_nat_nat_fun_fun$_1':'Nat_nat_fun_nat_nat_fun_fun$'). 1.80/0.75 tff('finite_domain_Nat_nat_fun_nat_nat_fun_fun$',axiom, 1.80/0.75 ! [X:'Nat_nat_fun_nat_nat_fun_fun$'] : ( 1.80/0.75 X = 'fmb_Nat_nat_fun_nat_nat_fun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$',type,'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$1',type,'fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$_1':'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_Nat_nat_fun$',type,'Nat_nat_fun$':$tType). 1.80/0.75 tff('declare_Nat_nat_fun$1',type,'fmb_Nat_nat_fun$_1':'Nat_nat_fun$'). 1.80/0.75 tff('finite_domain_Nat_nat_fun$',axiom, 1.80/0.75 ! [X:'Nat_nat_fun$'] : ( 1.80/0.75 X = 'fmb_Nat_nat_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,'fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1':'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$',type,'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$1',type,'fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1':'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_fun$',type,'B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_fun$1',type,'fmb_B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_fun$_1':'B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$',type,'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$1',type,'fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$_1':'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_Nat$',type,'Nat$':$tType). 1.80/0.75 tff('declare_Nat$1',type,'fmb_Nat$_1':'Nat$'). 1.80/0.75 tff('finite_domain_Nat$',axiom, 1.80/0.75 ! [X:'Nat$'] : ( 1.80/0.75 X = 'fmb_Nat$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_fun$',type,'A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_fun$1',type,'fmb_A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_fun$_1':'A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_A_ell2_a_ell2_cblinfun_bool_fun$',type,'A_ell2_a_ell2_cblinfun_bool_fun$':$tType). 1.80/0.75 tff('declare_A_ell2_a_ell2_cblinfun_bool_fun$1',type,'fmb_A_ell2_a_ell2_cblinfun_bool_fun$_1':'A_ell2_a_ell2_cblinfun_bool_fun$'). 1.80/0.75 tff('finite_domain_A_ell2_a_ell2_cblinfun_bool_fun$',axiom, 1.80/0.75 ! [X:'A_ell2_a_ell2_cblinfun_bool_fun$'] : ( 1.80/0.75 X = 'fmb_A_ell2_a_ell2_cblinfun_bool_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$',type,'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$1',type,'fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$_1':'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1':'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$',type,'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$1',type,'fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1':'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,'fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$',type,'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$1',type,'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1':'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun$',type,'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun$':$tType). 1.80/0.75 tff('declare_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun$1',type,'fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun$_1':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun$'). 1.80/0.75 tff('finite_domain_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun$',axiom, 1.80/0.75 ! [X:'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun$'] : ( 1.80/0.75 X = 'fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',type,'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$1',type,'fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1':'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_B_ell2_b_ell2_cblinfun_set$',type,'B_ell2_b_ell2_cblinfun_set$':$tType). 1.80/0.75 tff('declare_B_ell2_b_ell2_cblinfun_set$1',type,'fmb_B_ell2_b_ell2_cblinfun_set$_1':'B_ell2_b_ell2_cblinfun_set$'). 1.80/0.75 tff('finite_domain_B_ell2_b_ell2_cblinfun_set$',axiom, 1.80/0.75 ! [X:'B_ell2_b_ell2_cblinfun_set$'] : ( 1.80/0.75 X = 'fmb_B_ell2_b_ell2_cblinfun_set$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$',type,'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$1',type,'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$_1':'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_A_ell2_a_ell2_cblinfun_set$',type,'A_ell2_a_ell2_cblinfun_set$':$tType). 1.80/0.75 tff('declare_A_ell2_a_ell2_cblinfun_set$1',type,'fmb_A_ell2_a_ell2_cblinfun_set$_1':'A_ell2_a_ell2_cblinfun_set$'). 1.80/0.75 tff('finite_domain_A_ell2_a_ell2_cblinfun_set$',axiom, 1.80/0.75 ! [X:'A_ell2_a_ell2_cblinfun_set$'] : ( 1.80/0.75 X = 'fmb_A_ell2_a_ell2_cblinfun_set$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$',type,'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$1',type,'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$_1':'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$',type,'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$1',type,'fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1':'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$',type,'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$1',type,'fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$_1':'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1':'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun$',type,'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun$':$tType). 1.80/0.75 tff('declare_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun$1',type,'fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun$_1':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun$'). 1.80/0.75 tff('finite_domain_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun$',axiom, 1.80/0.75 ! [X:'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun$'] : ( 1.80/0.75 X = 'fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$',type,'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$1',type,'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$_1':'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$',type,'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$1',type,'fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$_1':'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$',type,'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$1',type,'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$_1':'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$',type,'C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$1',type,'fmb_C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$_1':'C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',type,'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$1',type,'fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun$',type,'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun$':$tType). 1.80/0.75 tff('declare_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun$1',type,'fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun$_1':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun$'). 1.80/0.75 tff('finite_domain_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun$',axiom, 1.80/0.75 ! [X:'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun$'] : ( 1.80/0.75 X = 'fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,'fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1':'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_set$',type,'B_b_prod_ell2_b_b_prod_ell2_cblinfun_set$':$tType). 1.80/0.75 tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_set$1',type,'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_set$_1':'B_b_prod_ell2_b_b_prod_ell2_cblinfun_set$'). 1.80/0.75 tff('finite_domain_B_b_prod_ell2_b_b_prod_ell2_cblinfun_set$',axiom, 1.80/0.75 ! [X:'B_b_prod_ell2_b_b_prod_ell2_cblinfun_set$'] : ( 1.80/0.75 X = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_set$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_B_a_prod_ell2_b_a_prod_ell2_cblinfun_set$',type,'B_a_prod_ell2_b_a_prod_ell2_cblinfun_set$':$tType). 1.80/0.75 tff('declare_B_a_prod_ell2_b_a_prod_ell2_cblinfun_set$1',type,'fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_set$_1':'B_a_prod_ell2_b_a_prod_ell2_cblinfun_set$'). 1.80/0.75 tff('finite_domain_B_a_prod_ell2_b_a_prod_ell2_cblinfun_set$',axiom, 1.80/0.75 ! [X:'B_a_prod_ell2_b_a_prod_ell2_cblinfun_set$'] : ( 1.80/0.75 X = 'fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_set$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_A_a_prod_ell2_a_a_prod_ell2_cblinfun_set$',type,'A_a_prod_ell2_a_a_prod_ell2_cblinfun_set$':$tType). 1.80/0.75 tff('declare_A_a_prod_ell2_a_a_prod_ell2_cblinfun_set$1',type,'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_set$_1':'A_a_prod_ell2_a_a_prod_ell2_cblinfun_set$'). 1.80/0.75 tff('finite_domain_A_a_prod_ell2_a_a_prod_ell2_cblinfun_set$',axiom, 1.80/0.75 ! [X:'A_a_prod_ell2_a_a_prod_ell2_cblinfun_set$'] : ( 1.80/0.75 X = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_set$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,'fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1':'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',type,'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$1',type,'fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1':'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$',type,'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$1',type,'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1':'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_B_ell2_b_ell2_cblinfun_bool_fun$',type,'B_ell2_b_ell2_cblinfun_bool_fun$':$tType). 1.80/0.75 tff('declare_B_ell2_b_ell2_cblinfun_bool_fun$1',type,'fmb_B_ell2_b_ell2_cblinfun_bool_fun$_1':'B_ell2_b_ell2_cblinfun_bool_fun$'). 1.80/0.75 tff('finite_domain_B_ell2_b_ell2_cblinfun_bool_fun$',axiom, 1.80/0.75 ! [X:'B_ell2_b_ell2_cblinfun_bool_fun$'] : ( 1.80/0.75 X = 'fmb_B_ell2_b_ell2_cblinfun_bool_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_B_a_prod_ell2_b_a_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$',type,'B_a_prod_ell2_b_a_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_B_a_prod_ell2_b_a_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$1',type,'fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$_1':'B_a_prod_ell2_b_a_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_B_a_prod_ell2_b_a_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'B_a_prod_ell2_b_a_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_Nat_set$',type,'Nat_set$':$tType). 1.80/0.75 tff('declare_Nat_set$1',type,'fmb_Nat_set$_1':'Nat_set$'). 1.80/0.75 tff('finite_domain_Nat_set$',axiom, 1.80/0.75 ! [X:'Nat_set$'] : ( 1.80/0.75 X = 'fmb_Nat_set$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$',type,'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$1',type,'fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$_1':'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',type,'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$1',type,'fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1':'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_C_ell2_c_ell2_cblinfun_set$',type,'C_ell2_c_ell2_cblinfun_set$':$tType). 1.80/0.75 tff('declare_C_ell2_c_ell2_cblinfun_set$1',type,'fmb_C_ell2_c_ell2_cblinfun_set$_1':'C_ell2_c_ell2_cblinfun_set$'). 1.80/0.75 tff('finite_domain_C_ell2_c_ell2_cblinfun_set$',axiom, 1.80/0.75 ! [X:'C_ell2_c_ell2_cblinfun_set$'] : ( 1.80/0.75 X = 'fmb_C_ell2_c_ell2_cblinfun_set$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$',type,'C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$1',type,'fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$_1':'C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1':'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun$',type,'B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun$':$tType). 1.80/0.75 tff('declare_B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun$1',type,'fmb_B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun$_1':'B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun$'). 1.80/0.75 tff('finite_domain_B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun$',axiom, 1.80/0.75 ! [X:'B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun$'] : ( 1.80/0.75 X = 'fmb_B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',type,'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$':$tType). 1.80/0.75 tff('declare_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$1',type,'fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1':'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'). 1.80/0.75 tff('finite_domain_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',axiom, 1.80/0.75 ! [X:'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ( 1.80/0.75 X = 'fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' 1.80/0.75 ) ). 1.80/0.75 1.80/0.75 tff('declare_top$i',type,'top$i':'C_ell2_c_ell2_cblinfun_bool_fun$'). 1.80/0.75 tff('top$i_definition',axiom,'top$i' = 'fmb_C_ell2_c_ell2_cblinfun_bool_fun$_1'). 1.80/0.75 tff('declare_top$d',type,'top$d':'B_ell2_b_ell2_cblinfun_bool_fun$'). 1.80/0.75 tff('top$d_definition',axiom,'top$d' = 'fmb_B_ell2_b_ell2_cblinfun_bool_fun$_1'). 1.80/0.75 tff('declare_f$',type,'f$':'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'). 1.80/0.75 tff('f$_definition',axiom,'f$' = 'fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1'). 1.80/0.75 tff('declare_top$c',type,'top$c':'A_ell2_a_ell2_cblinfun_bool_fun$'). 1.80/0.75 tff('top$c_definition',axiom,'top$c' = 'fmb_A_ell2_a_ell2_cblinfun_bool_fun$_1'). 1.80/0.75 tff('declare_id$a',type,'id$a':'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'). 1.80/0.75 tff('id$a_definition',axiom,'id$a' = 'fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1'). 1.80/0.75 tff('declare_id$g',type,'id$g':'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('id$g_definition',axiom,'id$g' = 'fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$_1'). 1.80/0.75 tff('declare_id$f',type,'id$f':'B_a_prod_ell2_b_a_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('id$f_definition',axiom,'id$f' = 'fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$_1'). 1.80/0.75 tff('declare_id$j',type,'id$j':'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'). 1.80/0.75 tff('id$j_definition',axiom,'id$j' = 'fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1'). 1.80/0.75 tff('declare_top$j',type,'top$j':'A_a_prod_ell2_a_a_prod_ell2_cblinfun_set$'). 1.80/0.75 tff('top$j_definition',axiom,'top$j' = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_set$_1'). 1.80/0.75 tff('declare_id$c',type,'id$c':'A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_set_fun$'). 1.80/0.75 tff('id$c_definition',axiom,'id$c' = 'fmb_A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_set_fun$_1'). 1.80/0.75 tff('declare_top$a',type,'top$a':'B_ell2_b_ell2_cblinfun_set$'). 1.80/0.75 tff('top$a_definition',axiom,'top$a' = 'fmb_B_ell2_b_ell2_cblinfun_set$_1'). 1.80/0.75 tff('declare_top$g',type,'top$g':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_set$'). 1.80/0.75 tff('top$g_definition',axiom,'top$g' = 'fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_set$_1'). 1.80/0.75 tff('declare_id$e',type,'id$e':'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('id$e_definition',axiom,'id$e' = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1'). 1.80/0.75 tff('declare_i$',type,'i$':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'). 1.80/0.75 tff('i$_definition',axiom,'i$' = 'fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1'). 1.80/0.75 tff('declare_top$m',type,'top$m':'B_b_prod_ell2_b_b_prod_ell2_cblinfun_set$'). 1.80/0.75 tff('top$m_definition',axiom,'top$m' = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_set$_1'). 1.80/0.75 tff('declare_top$l',type,'top$l':'B_a_prod_ell2_b_a_prod_ell2_cblinfun_set$'). 1.80/0.75 tff('top$l_definition',axiom,'top$l' = 'fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_set$_1'). 1.80/0.75 tff('declare_id$i',type,'id$i':'Nat_nat_fun_nat_nat_fun_fun$'). 1.80/0.75 tff('id$i_definition',axiom,'id$i' = 'fmb_Nat_nat_fun_nat_nat_fun_fun$_1'). 1.80/0.75 tff('declare_id_cblinfun$',type,'id_cblinfun$':'B_ell2_b_ell2_cblinfun$'). 1.80/0.75 tff('id_cblinfun$_definition',axiom,'id_cblinfun$' = 'fmb_B_ell2_b_ell2_cblinfun$_1'). 1.80/0.75 tff('declare_top$b',type,'top$b':'C_ell2_c_ell2_cblinfun_set$'). 1.80/0.75 tff('top$b_definition',axiom,'top$b' = 'fmb_C_ell2_c_ell2_cblinfun_set$_1'). 1.80/0.75 tff('declare_g$',type,'g$':'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'). 1.80/0.75 tff('g$_definition',axiom,'g$' = 'fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1'). 1.80/0.75 tff('declare_id$b',type,'id$b':'B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun$'). 1.80/0.75 tff('id$b_definition',axiom,'id$b' = 'fmb_B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun$_1'). 1.80/0.75 tff('declare_top$f',type,'top$f':'Nat_nat_fun_set$'). 1.80/0.75 tff('top$f_definition',axiom,'top$f' = 'fmb_Nat_nat_fun_set$_1'). 1.80/0.75 tff('declare_j$',type,'j$':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'). 1.80/0.75 tff('j$_definition',axiom,'j$' = 'fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1'). 1.80/0.75 tff('declare_id_cblinfun$a',type,'id_cblinfun$a':'A_ell2_a_ell2_cblinfun$'). 1.80/0.75 tff('id_cblinfun$a_definition',axiom,'id_cblinfun$a' = 'fmb_A_ell2_a_ell2_cblinfun$_1'). 1.80/0.75 tff('declare_id$d',type,'id$d':'Nat_nat_fun$'). 1.80/0.75 tff('id$d_definition',axiom,'id$d' = 'fmb_Nat_nat_fun$_1'). 1.80/0.75 tff('declare_top$e',type,'top$e':'Nat_set$'). 1.80/0.75 tff('top$e_definition',axiom,'top$e' = 'fmb_Nat_set$_1'). 1.80/0.75 tff('declare_top$k',type,'top$k':'A_b_prod_ell2_a_b_prod_ell2_cblinfun_set$'). 1.80/0.75 tff('top$k_definition',axiom,'top$k' = 'fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_set$_1'). 1.80/0.75 tff('declare_suc$',type,'suc$':'Nat_nat_fun$'). 1.80/0.75 tff('suc$_definition',axiom,'suc$' = 'fmb_Nat_nat_fun$_1'). 1.80/0.75 tff('declare_top$h',type,'top$h':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_set$'). 1.80/0.75 tff('top$h_definition',axiom,'top$h' = 'fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_set$_1'). 1.80/0.75 tff('declare_id$',type,'id$':'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'). 1.80/0.75 tff('id$_definition',axiom,'id$' = 'fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1'). 1.80/0.75 tff('declare_top$',type,'top$':'A_ell2_a_ell2_cblinfun_set$'). 1.80/0.75 tff('top$_definition',axiom,'top$' = 'fmb_A_ell2_a_ell2_cblinfun_set$_1'). 1.80/0.75 tff('declare_id$h',type,'id$h':'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('id$h_definition',axiom,'id$h' = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$_1'). 1.80/0.75 tff('declare_register_tensor$v',type,'register_tensor$v': ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$v',axiom, 1.80/0.75 'register_tensor$v'('fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_image$b',type,'image$b': ('C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$') > 'C_ell2_c_ell2_cblinfun_set$'). 1.80/0.75 tff('function_image$b',axiom, 1.80/0.75 'image$b'('fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_set$_1') = 'fmb_C_ell2_c_ell2_cblinfun_set$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inv_into$n',type,'inv_into$n': ('A_b_prod_ell2_a_b_prod_ell2_cblinfun_set$' * 'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$') > 'C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_inv_into$n',axiom, 1.80/0.75 'inv_into$n'('fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_set$_1','fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$_1') = 'fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$af',type,'comp$af': ('A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$' * 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$') > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$af',axiom, 1.80/0.75 'comp$af'('fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1','fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inv_into$d',type,'inv_into$d': ('Nat_set$' * 'Nat_nat_fun$') > 'Nat_nat_fun$'). 1.80/0.75 tff('function_inv_into$d',axiom, 1.80/0.75 'inv_into$d'('fmb_Nat_set$_1','fmb_Nat_nat_fun$_1') = 'fmb_Nat_nat_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_image$',type,'image$': ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$') > 'C_ell2_c_ell2_cblinfun_set$'). 1.80/0.75 tff('function_image$',axiom, 1.80/0.75 'image$'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_set$_1') = 'fmb_C_ell2_c_ell2_cblinfun_set$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$f',type,'register_tensor$f': ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$f',axiom, 1.80/0.75 'register_tensor$f'('fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inv_into$',type,'inv_into$': ('A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_inv_into$',axiom, 1.80/0.75 'inv_into$'('fmb_A_ell2_a_ell2_cblinfun_set$_1','fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_fun_app$o',type,'fun_app$o': ('A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_set_fun$' * 'A_ell2_a_ell2_cblinfun_set$') > 'A_ell2_a_ell2_cblinfun_set$'). 1.80/0.75 tff('function_fun_app$o',axiom, 1.80/0.75 'fun_app$o'('fmb_A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_set_fun$_1','fmb_A_ell2_a_ell2_cblinfun_set$_1') = 'fmb_A_ell2_a_ell2_cblinfun_set$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_fun_app$k',type,'fun_app$k': ('Nat_nat_fun_nat_nat_fun_fun$' * 'Nat_nat_fun$') > 'Nat_nat_fun$'). 1.80/0.75 tff('function_fun_app$k',axiom, 1.80/0.75 'fun_app$k'('fmb_Nat_nat_fun_nat_nat_fun_fun$_1','fmb_Nat_nat_fun$_1') = 'fmb_Nat_nat_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inv_into$b',type,'inv_into$b': ('A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_inv_into$b',axiom, 1.80/0.75 'inv_into$b'('fmb_A_ell2_a_ell2_cblinfun_set$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_fun_app$b',type,'fun_app$b': ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$') > 'C_ell2_c_ell2_cblinfun$'). 1.80/0.75 tff('function_fun_app$b',axiom, 1.80/0.75 'fun_app$b'('fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun$_1') = 'fmb_C_ell2_c_ell2_cblinfun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$h',type,'register_tensor$h': ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$h',axiom, 1.80/0.75 'register_tensor$h'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_image$h',type,'image$h': ('C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$') > 'A_ell2_a_ell2_cblinfun_set$'). 1.80/0.75 tff('function_image$h',axiom, 1.80/0.75 'image$h'('fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_set$_1') = 'fmb_A_ell2_a_ell2_cblinfun_set$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$h',type,'comp$h': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$h',axiom, 1.80/0.75 'comp$h'('fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$p',type,'comp$p': ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$p',axiom, 1.80/0.75 'comp$p'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inv_into$g',type,'inv_into$g': ('B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_inv_into$g',axiom, 1.80/0.75 'inv_into$g'('fmb_B_ell2_b_ell2_cblinfun_set$_1','fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inv_into$f',type,'inv_into$f': ('C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_inv_into$f',axiom, 1.80/0.75 'inv_into$f'('fmb_C_ell2_c_ell2_cblinfun_set$_1','fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$e',type,'register_tensor$e': ('C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$e',axiom, 1.80/0.75 'register_tensor$e'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$d',type,'register_tensor$d': ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$d',axiom, 1.80/0.75 'register_tensor$d'('fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$e',type,'comp$e': ('C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$e',axiom, 1.80/0.75 'comp$e'('fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inv_into$e',type,'inv_into$e': ('C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_inv_into$e',axiom, 1.80/0.75 'inv_into$e'('fmb_C_ell2_c_ell2_cblinfun_set$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$ae',type,'comp$ae': ('A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$' * 'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$') > 'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$ae',axiom, 1.80/0.75 'comp$ae'('fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1','fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$_1') = 'fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_fun_app$l',type,'fun_app$l': ('C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$') > 'A_ell2_a_ell2_cblinfun$'). 1.80/0.75 tff('function_fun_app$l',axiom, 1.80/0.75 'fun_app$l'('fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun$_1') = 'fmb_A_ell2_a_ell2_cblinfun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_fun_app$t',type,'fun_app$t': ('A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$') > 'A_ell2_a_ell2_cblinfun$'). 1.80/0.75 tff('function_fun_app$t',axiom, 1.80/0.75 'fun_app$t'('fmb_A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_set$_1') = 'fmb_A_ell2_a_ell2_cblinfun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$u',type,'register_tensor$u': ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$u',axiom, 1.80/0.75 'register_tensor$u'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_image$a',type,'image$a': ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$') > 'C_ell2_c_ell2_cblinfun_set$'). 1.80/0.75 tff('function_image$a',axiom, 1.80/0.75 'image$a'('fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_set$_1') = 'fmb_C_ell2_c_ell2_cblinfun_set$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$j',type,'comp$j': ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$j',axiom, 1.80/0.75 'comp$j'('fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_fun_app$h',type,'fun_app$h': ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$') > 'A_ell2_a_ell2_cblinfun$'). 1.80/0.75 tff('function_fun_app$h',axiom, 1.80/0.75 'fun_app$h'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun$_1') = 'fmb_A_ell2_a_ell2_cblinfun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$m',type,'register_tensor$m': ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$m',axiom, 1.80/0.75 'register_tensor$m'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_collect$',type,'collect$': ('C_ell2_c_ell2_cblinfun_bool_fun$') > 'C_ell2_c_ell2_cblinfun_set$'). 1.80/0.75 tff('function_collect$',axiom, 1.80/0.75 'collect$'('fmb_C_ell2_c_ell2_cblinfun_bool_fun$_1') = 'fmb_C_ell2_c_ell2_cblinfun_set$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$b',type,'register_tensor$b': ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$b',axiom, 1.80/0.75 'register_tensor$b'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$a',type,'register_tensor$a': ('C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$a',axiom, 1.80/0.75 'register_tensor$a'('fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$ai',type,'comp$ai': ('B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$' * 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$') > 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$ai',axiom, 1.80/0.75 'comp$ai'('fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1','fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$g',type,'comp$g': ('C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$g',axiom, 1.80/0.75 'comp$g'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inv_into$r',type,'inv_into$r': ('B_b_prod_ell2_b_b_prod_ell2_cblinfun_set$' * 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$') > 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_inv_into$r',axiom, 1.80/0.75 'inv_into$r'('fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_set$_1','fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_fun_app$f',type,'fun_app$f': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_fun_app$f',axiom, 1.80/0.75 'fun_app$f'('fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$i',type,'register_tensor$i': ('C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$i',axiom, 1.80/0.75 'register_tensor$i'('fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$',type,'comp$': ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun$'). 1.80/0.75 tff('function_comp$',axiom, 1.80/0.75 'comp$'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$ag',type,'comp$ag': ('A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$' * 'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$') > 'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$ag',axiom, 1.80/0.75 'comp$ag'('fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$_1','fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$_1') = 'fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_image$g',type,'image$g': ('Nat_nat_fun$' * 'Nat_set$') > 'Nat_set$'). 1.80/0.75 tff('function_image$g',axiom, 1.80/0.75 'image$g'('fmb_Nat_nat_fun$_1','fmb_Nat_set$_1') = 'fmb_Nat_set$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$ad',type,'comp$ad': ('B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$' * 'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$') > 'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$ad',axiom, 1.80/0.75 'comp$ad'('fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$_1','fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$_1') = 'fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$n',type,'comp$n': ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$n',axiom, 1.80/0.75 'comp$n'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_collect$a',type,'collect$a': ('A_ell2_a_ell2_cblinfun_bool_fun$') > 'A_ell2_a_ell2_cblinfun_set$'). 1.80/0.75 tff('function_collect$a',axiom, 1.80/0.75 'collect$a'('fmb_A_ell2_a_ell2_cblinfun_bool_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_set$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$q',type,'comp$q': ('C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$q',axiom, 1.80/0.75 'comp$q'('fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inv_into$m',type,'inv_into$m': ('B_b_prod_ell2_b_b_prod_ell2_cblinfun_set$' * 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$') > 'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_inv_into$m',axiom, 1.80/0.75 'inv_into$m'('fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_set$_1','fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1') = 'fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$s',type,'register_tensor$s': ('B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'B_a_prod_ell2_b_a_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$s',axiom, 1.80/0.75 'register_tensor$s'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_commutant$a',type,'commutant$a': ('A_ell2_a_ell2_cblinfun_set$') > 'A_ell2_a_ell2_cblinfun_set$'). 1.80/0.75 tff('function_commutant$a',axiom, 1.80/0.75 'commutant$a'('fmb_A_ell2_a_ell2_cblinfun_set$_1') = 'fmb_A_ell2_a_ell2_cblinfun_set$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$s',type,'comp$s': ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$s',axiom, 1.80/0.75 'comp$s'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$l',type,'register_tensor$l': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$l',axiom, 1.80/0.75 'register_tensor$l'('fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_commutant$',type,'commutant$': ('C_ell2_c_ell2_cblinfun_set$') > 'C_ell2_c_ell2_cblinfun_set$'). 1.80/0.75 tff('function_commutant$',axiom, 1.80/0.75 'commutant$'('fmb_C_ell2_c_ell2_cblinfun_set$_1') = 'fmb_C_ell2_c_ell2_cblinfun_set$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_fun_app$e',type,'fun_app$e': ('B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$') > 'B_ell2_b_ell2_cblinfun$'). 1.80/0.75 tff('function_fun_app$e',axiom, 1.80/0.75 'fun_app$e'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun$_1') = 'fmb_B_ell2_b_ell2_cblinfun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$r',type,'comp$r': ('C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$r',axiom, 1.80/0.75 'comp$r'('fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_image$c',type,'image$c': ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_set_fun$'). 1.80/0.75 tff('function_image$c',axiom, 1.80/0.75 'image$c'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_set_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_fun_app$i',type,'fun_app$i': ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_fun_app$i',axiom, 1.80/0.75 'fun_app$i'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inv_into$k',type,'inv_into$k': ('A_b_prod_ell2_a_b_prod_ell2_cblinfun_set$' * 'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$') > 'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_inv_into$k',axiom, 1.80/0.75 'inv_into$k'('fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_set$_1','fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1') = 'fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$a',type,'comp$a': ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun$'). 1.80/0.75 tff('function_comp$a',axiom, 1.80/0.75 'comp$a'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_fun_app$s',type,'fun_app$s': ('B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$') > 'B_ell2_b_ell2_cblinfun$'). 1.80/0.75 tff('function_fun_app$s',axiom, 1.80/0.75 'fun_app$s'('fmb_B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_set$_1') = 'fmb_B_ell2_b_ell2_cblinfun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_fun_app$c',type,'fun_app$c': ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$') > 'C_ell2_c_ell2_cblinfun$'). 1.80/0.75 tff('function_fun_app$c',axiom, 1.80/0.75 'fun_app$c'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun$_1') = 'fmb_C_ell2_c_ell2_cblinfun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$aa',type,'comp$aa': ('B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$' * 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$') > 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$aa',axiom, 1.80/0.75 'comp$aa'('fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1','fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$w',type,'comp$w': ('B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$w',axiom, 1.80/0.75 'comp$w'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$w',type,'register_tensor$w': ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$w',axiom, 1.80/0.75 'register_tensor$w'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_fun_app$j',type,'fun_app$j': ('Nat_nat_fun$' * 'Nat$') > 'Nat$'). 1.80/0.75 tff('function_fun_app$j',axiom, 1.80/0.75 'fun_app$j'('fmb_Nat_nat_fun$_1','fmb_Nat$_1') = 'fmb_Nat$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inv_into$l',type,'inv_into$l': ('B_a_prod_ell2_b_a_prod_ell2_cblinfun_set$' * 'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$') > 'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_inv_into$l',axiom, 1.80/0.75 'inv_into$l'('fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_set$_1','fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1') = 'fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$',type,'register_tensor$': ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$',axiom, 1.80/0.75 'register_tensor$'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inv_into$j',type,'inv_into$j': ('A_a_prod_ell2_a_a_prod_ell2_cblinfun_set$' * 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$') > 'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_inv_into$j',axiom, 1.80/0.75 'inv_into$j'('fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_set$_1','fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1') = 'fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$t',type,'register_tensor$t': ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$t',axiom, 1.80/0.75 'register_tensor$t'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_image$i',type,'image$i': ('C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$') > 'B_ell2_b_ell2_cblinfun_set$'). 1.80/0.75 tff('function_image$i',axiom, 1.80/0.75 'image$i'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_set$_1') = 'fmb_B_ell2_b_ell2_cblinfun_set$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_collect$b',type,'collect$b': ('B_ell2_b_ell2_cblinfun_bool_fun$') > 'B_ell2_b_ell2_cblinfun_set$'). 1.80/0.75 tff('function_collect$b',axiom, 1.80/0.75 'collect$b'('fmb_B_ell2_b_ell2_cblinfun_bool_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_set$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$o',type,'comp$o': ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$o',axiom, 1.80/0.75 'comp$o'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$q',type,'register_tensor$q': ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$q',axiom, 1.80/0.75 'register_tensor$q'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$aj',type,'comp$aj': ('B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$' * 'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$') > 'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$aj',axiom, 1.80/0.75 'comp$aj'('fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1','fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$_1') = 'fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inv_into$i',type,'inv_into$i': ('C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_inv_into$i',axiom, 1.80/0.75 'inv_into$i'('fmb_C_ell2_c_ell2_cblinfun_set$_1','fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_commutant$b',type,'commutant$b': ('B_ell2_b_ell2_cblinfun_set$') > 'B_ell2_b_ell2_cblinfun_set$'). 1.80/0.75 tff('function_commutant$b',axiom, 1.80/0.75 'commutant$b'('fmb_B_ell2_b_ell2_cblinfun_set$_1') = 'fmb_B_ell2_b_ell2_cblinfun_set$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inv_into$q',type,'inv_into$q': ('B_b_prod_ell2_b_b_prod_ell2_cblinfun_set$' * 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$') > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_inv_into$q',axiom, 1.80/0.75 'inv_into$q'('fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_set$_1','fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$i',type,'comp$i': ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$i',axiom, 1.80/0.75 'comp$i'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_image$f',type,'image$f': ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$') > 'B_ell2_b_ell2_cblinfun_set$'). 1.80/0.75 tff('function_image$f',axiom, 1.80/0.75 'image$f'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_set$_1') = 'fmb_B_ell2_b_ell2_cblinfun_set$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_fun_app$p',type,'fun_app$p': ('B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun$' * 'B_ell2_b_ell2_cblinfun_set$') > 'B_ell2_b_ell2_cblinfun_set$'). 1.80/0.75 tff('function_fun_app$p',axiom, 1.80/0.75 'fun_app$p'('fmb_B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun$_1','fmb_B_ell2_b_ell2_cblinfun_set$_1') = 'fmb_B_ell2_b_ell2_cblinfun_set$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$v',type,'comp$v': ('C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$v',axiom, 1.80/0.75 'comp$v'('fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inv_into$o',type,'inv_into$o': ('B_b_prod_ell2_b_b_prod_ell2_cblinfun_set$' * 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$') > 'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_inv_into$o',axiom, 1.80/0.75 'inv_into$o'('fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_set$_1','fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$_1') = 'fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_fun_app$m',type,'fun_app$m': ('C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$') > 'C_ell2_c_ell2_cblinfun$'). 1.80/0.75 tff('function_fun_app$m',axiom, 1.80/0.75 'fun_app$m'('fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun$_1') = 'fmb_C_ell2_c_ell2_cblinfun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$z',type,'register_tensor$z': ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$z',axiom, 1.80/0.75 'register_tensor$z'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$ac',type,'comp$ac': ('B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$' * 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$') > 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$ac',axiom, 1.80/0.75 'comp$ac'('fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$_1','fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$k',type,'register_tensor$k': ('C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$k',axiom, 1.80/0.75 'register_tensor$k'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inv_into$c',type,'inv_into$c': ('B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_inv_into$c',axiom, 1.80/0.75 'inv_into$c'('fmb_B_ell2_b_ell2_cblinfun_set$_1','fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$ab',type,'comp$ab': ('B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$' * 'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$') > 'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$ab',axiom, 1.80/0.75 'comp$ab'('fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1','fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$_1') = 'fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$ab',type,'register_tensor$ab': ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$ab',axiom, 1.80/0.75 'register_tensor$ab'('fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$l',type,'comp$l': ('B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$l',axiom, 1.80/0.75 'comp$l'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$m',type,'comp$m': ('B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$m',axiom, 1.80/0.75 'comp$m'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_uu$',type,'uu$': ('C_ell2_c_ell2_cblinfun_set$') > 'C_ell2_c_ell2_cblinfun_bool_fun$'). 1.80/0.75 tff('function_uu$',axiom, 1.80/0.75 'uu$'('fmb_C_ell2_c_ell2_cblinfun_set$_1') = 'fmb_C_ell2_c_ell2_cblinfun_bool_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$j',type,'register_tensor$j': ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$j',axiom, 1.80/0.75 'register_tensor$j'('fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_fun_app$d',type,'fun_app$d': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$') > 'A_ell2_a_ell2_cblinfun$'). 1.80/0.75 tff('function_fun_app$d',axiom, 1.80/0.75 'fun_app$d'('fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun$_1') = 'fmb_A_ell2_a_ell2_cblinfun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$o',type,'register_tensor$o': ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$o',axiom, 1.80/0.75 'register_tensor$o'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_fun_app$g',type,'fun_app$g': ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$') > 'B_ell2_b_ell2_cblinfun$'). 1.80/0.75 tff('function_fun_app$g',axiom, 1.80/0.75 'fun_app$g'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun$_1') = 'fmb_B_ell2_b_ell2_cblinfun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$c',type,'register_tensor$c': ('C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$c',axiom, 1.80/0.75 'register_tensor$c'('fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$y',type,'register_tensor$y': ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$y',axiom, 1.80/0.75 'register_tensor$y'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$ad',type,'register_tensor$ad': ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$ad',axiom, 1.80/0.75 'register_tensor$ad'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$ac',type,'register_tensor$ac': ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$ac',axiom, 1.80/0.75 'register_tensor$ac'('fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$r',type,'register_tensor$r': ('B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$r',axiom, 1.80/0.75 'register_tensor$r'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_fun_app$u',type,'fun_app$u': ('Nat_set_nat_fun$' * 'Nat_set$') > 'Nat$'). 1.80/0.75 tff('function_fun_app$u',axiom, 1.80/0.75 'fun_app$u'('fmb_Nat_set_nat_fun$_1','fmb_Nat_set$_1') = 'fmb_Nat$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$b',type,'comp$b': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun$'). 1.80/0.75 tff('function_comp$b',axiom, 1.80/0.75 'comp$b'('fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$ae',type,'register_tensor$ae': ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$ae',axiom, 1.80/0.75 'register_tensor$ae'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_image$e',type,'image$e': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$') > 'A_ell2_a_ell2_cblinfun_set$'). 1.80/0.75 tff('function_image$e',axiom, 1.80/0.75 'image$e'('fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_set$_1') = 'fmb_A_ell2_a_ell2_cblinfun_set$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_fun_app$v',type,'fun_app$v': ('C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$') > 'C_ell2_c_ell2_cblinfun$'). 1.80/0.75 tff('function_fun_app$v',axiom, 1.80/0.75 'fun_app$v'('fmb_C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_set$_1') = 'fmb_C_ell2_c_ell2_cblinfun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$y',type,'comp$y': ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$y',axiom, 1.80/0.75 'comp$y'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$d',type,'comp$d': ('C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$d',axiom, 1.80/0.75 'comp$d'('fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$x',type,'comp$x': ('C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$x',axiom, 1.80/0.75 'comp$x'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$u',type,'comp$u': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$u',axiom, 1.80/0.75 'comp$u'('fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inv_into$h',type,'inv_into$h': ('A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_inv_into$h',axiom, 1.80/0.75 'inv_into$h'('fmb_A_ell2_a_ell2_cblinfun_set$_1','fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_fun_app$a',type,'fun_app$a': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_fun_app$a',axiom, 1.80/0.75 'fun_app$a'('fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$p',type,'register_tensor$p': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$p',axiom, 1.80/0.75 'register_tensor$p'('fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$t',type,'comp$t': ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$t',axiom, 1.80/0.75 'comp$t'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$k',type,'comp$k': ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$k',axiom, 1.80/0.75 'comp$k'('fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inv_into$p',type,'inv_into$p': ('B_a_prod_ell2_b_a_prod_ell2_cblinfun_set$' * 'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$') > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_inv_into$p',axiom, 1.80/0.75 'inv_into$p'('fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_set$_1','fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$n',type,'register_tensor$n': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$n',axiom, 1.80/0.75 'register_tensor$n'('fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$g',type,'register_tensor$g': ('C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$g',axiom, 1.80/0.75 'register_tensor$g'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$z',type,'comp$z': ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$z',axiom, 1.80/0.75 'comp$z'('fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$ah',type,'comp$ah': ('A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$' * 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$') > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$ah',axiom, 1.80/0.75 'comp$ah'('fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$_1','fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$x',type,'register_tensor$x': ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$x',axiom, 1.80/0.75 'register_tensor$x'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_fun_app$n',type,'fun_app$n': ('C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$') > 'B_ell2_b_ell2_cblinfun$'). 1.80/0.75 tff('function_fun_app$n',axiom, 1.80/0.75 'fun_app$n'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun$_1') = 'fmb_B_ell2_b_ell2_cblinfun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$c',type,'comp$c': ('Nat_nat_fun$') > 'Nat_nat_fun_nat_nat_fun_fun$'). 1.80/0.75 tff('function_comp$c',axiom, 1.80/0.75 'comp$c'('fmb_Nat_nat_fun$_1') = 'fmb_Nat_nat_fun_nat_nat_fun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register_tensor$aa',type,'register_tensor$aa': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_register_tensor$aa',axiom, 1.80/0.75 'register_tensor$aa'('fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_comp$f',type,'comp$f': ('C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_comp$f',axiom, 1.80/0.75 'comp$f'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inv_into$a',type,'inv_into$a': ('B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'). 1.80/0.75 tff('function_inv_into$a',axiom, 1.80/0.75 'inv_into$a'('fmb_B_ell2_b_ell2_cblinfun_set$_1','fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_image$d',type,'image$d': ('B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun$'). 1.80/0.75 tff('function_image$d',axiom, 1.80/0.75 'image$d'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun$_1' 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register$k',type,'register$k': ('B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_register$k',axiom, 1.80/0.75 'register$k'('fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register$j',type,'register$j': ('B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_register$j',axiom, 1.80/0.75 'register$j'('fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_clinear$g',type,'clinear$g': ('C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_clinear$g',axiom, 1.80/0.75 'clinear$g'('fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_fun_app$q',type,'fun_app$q': ('A_ell2_a_ell2_cblinfun_bool_fun$' * 'A_ell2_a_ell2_cblinfun$') > $o). 1.80/0.75 tff('predicate_fun_app$q',axiom, 1.80/0.75 'fun_app$q'('fmb_A_ell2_a_ell2_cblinfun_bool_fun$_1','fmb_A_ell2_a_ell2_cblinfun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inj_on$',type,'inj_on$': ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$') > $o). 1.80/0.75 tff('predicate_inj_on$',axiom, 1.80/0.75 'inj_on$'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_set$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register$n',type,'register$n': ('A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_register$n',axiom, 1.80/0.75 'register$n'('fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inj_on$d',type,'inj_on$d': ('C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$') > $o). 1.80/0.75 tff('predicate_inj_on$d',axiom, 1.80/0.75 'inj_on$d'('fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_set$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_member$a',type,'member$a': ('A_ell2_a_ell2_cblinfun$' * 'A_ell2_a_ell2_cblinfun_set$') > $o). 1.80/0.75 tff('predicate_member$a',axiom, 1.80/0.75 'member$a'('fmb_A_ell2_a_ell2_cblinfun$_1','fmb_A_ell2_a_ell2_cblinfun_set$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_iso_register$h',type,'iso_register$h': ('B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_iso_register$h',axiom, 1.80/0.75 'iso_register$h'('fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_clinear$b',type,'clinear$b': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_clinear$b',axiom, 1.80/0.75 'clinear$b'('fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_iso_register$d',type,'iso_register$d': ('C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_iso_register$d',axiom, 1.80/0.75 ~'iso_register$d'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_iso_register$',type,'iso_register$': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_iso_register$',axiom, 1.80/0.75 'iso_register$'('fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inj_on$a',type,'inj_on$a': ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$') > $o). 1.80/0.75 tff('predicate_inj_on$a',axiom, 1.80/0.75 'inj_on$a'('fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_set$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inj_on$m',type,'inj_on$m': ('C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$') > $o). 1.80/0.75 tff('predicate_inj_on$m',axiom, 1.80/0.75 'inj_on$m'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_set$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inj_on$j',type,'inj_on$j': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_set$') > $o). 1.80/0.75 tff('predicate_inj_on$j',axiom, 1.80/0.75 'inj_on$j'('fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_set$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_member$b',type,'member$b': ('B_ell2_b_ell2_cblinfun$' * 'B_ell2_b_ell2_cblinfun_set$') > $o). 1.80/0.75 tff('predicate_member$b',axiom, 1.80/0.75 'member$b'('fmb_B_ell2_b_ell2_cblinfun$_1','fmb_B_ell2_b_ell2_cblinfun_set$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register$q',type,'register$q': ('B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_register$q',axiom, 1.80/0.75 'register$q'('fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inj_on$e',type,'inj_on$e': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$') > $o). 1.80/0.75 tff('predicate_inj_on$e',axiom, 1.80/0.75 'inj_on$e'('fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_set$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_iso_register$f',type,'iso_register$f': ('B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_iso_register$f',axiom, 1.80/0.75 'iso_register$f'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_clinear$d',type,'clinear$d': ('B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_clinear$d',axiom, 1.80/0.75 'clinear$d'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_iso_register$c',type,'iso_register$c': ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_iso_register$c',axiom, 1.80/0.75 ~'iso_register$c'('fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_member$c',type,'member$c': ('Nat$' * 'Nat_set$') > $o). 1.80/0.75 tff('predicate_member$c',axiom, 1.80/0.75 ~'member$c'('fmb_Nat$_1','fmb_Nat_set$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_iso_register$e',type,'iso_register$e': ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_iso_register$e',axiom, 1.80/0.75 'iso_register$e'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register$b',type,'register$b': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_register$b',axiom, 1.80/0.75 'register$b'('fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_clinear$a',type,'clinear$a': ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_clinear$a',axiom, 1.80/0.75 'clinear$a'('fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_bijection$b',type,'bijection$b': ('B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_bijection$b',axiom, 1.80/0.75 ~'bijection$b'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register$p',type,'register$p': ('A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_register$p',axiom, 1.80/0.75 'register$p'('fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register$f',type,'register$f': ('C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_register$f',axiom, 1.80/0.75 ~'register$f'('fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inj_on$b',type,'inj_on$b': ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$') > $o). 1.80/0.75 tff('predicate_inj_on$b',axiom, 1.80/0.75 'inj_on$b'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_set$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_iso_register$b',type,'iso_register$b': ('C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_iso_register$b',axiom, 1.80/0.75 ~'iso_register$b'('fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register$r',type,'register$r': ('B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_register$r',axiom, 1.80/0.75 'register$r'('fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register$h',type,'register$h': ('C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_register$h',axiom, 1.80/0.75 ~'register$h'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_iso_register$a',type,'iso_register$a': ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_iso_register$a',axiom, 1.80/0.75 ~'iso_register$a'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register$c',type,'register$c': ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_register$c',axiom, 1.80/0.75 'register$c'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_bijection$',type,'bijection$': ('Nat_nat_fun$') > $o). 1.80/0.75 tff('predicate_bijection$',axiom, 1.80/0.75 ~'bijection$'('fmb_Nat_nat_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inj_on$k',type,'inj_on$k': ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_set$') > $o). 1.80/0.75 tff('predicate_inj_on$k',axiom, 1.80/0.75 'inj_on$k'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_set$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register$',type,'register$': ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_register$',axiom, 1.80/0.75 'register$'('fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register$l',type,'register$l': ('B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_register$l',axiom, 1.80/0.75 'register$l'('fmb_B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_clinear$c',type,'clinear$c': ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_clinear$c',axiom, 1.80/0.75 'clinear$c'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register$m',type,'register$m': ('A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_register$m',axiom, 1.80/0.75 'register$m'('fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inj_on$h',type,'inj_on$h': ('Nat_nat_fun_nat_nat_fun_fun$' * 'Nat_nat_fun_set$') > $o). 1.80/0.75 tff('predicate_inj_on$h',axiom, 1.80/0.75 'inj_on$h'('fmb_Nat_nat_fun_nat_nat_fun_fun$_1','fmb_Nat_nat_fun_set$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_iso_register$g',type,'iso_register$g': ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_iso_register$g',axiom, 1.80/0.75 'iso_register$g'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register$d',type,'register$d': ('B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_register$d',axiom, 1.80/0.75 'register$d'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_clinear$',type,'clinear$': ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_clinear$',axiom, 1.80/0.75 'clinear$'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_bijection$a',type,'bijection$a': ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_bijection$a',axiom, 1.80/0.75 ~'bijection$a'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_member$',type,'member$': ('C_ell2_c_ell2_cblinfun$' * 'C_ell2_c_ell2_cblinfun_set$') > $o). 1.80/0.75 tff('predicate_member$',axiom, 1.80/0.75 'member$'('fmb_C_ell2_c_ell2_cblinfun$_1','fmb_C_ell2_c_ell2_cblinfun_set$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_clinear$f',type,'clinear$f': ('C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_clinear$f',axiom, 1.80/0.75 ~'clinear$f'('fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inj_on$c',type,'inj_on$c': ('B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$') > $o). 1.80/0.75 tff('predicate_inj_on$c',axiom, 1.80/0.75 'inj_on$c'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_set$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inj_on$f',type,'inj_on$f': ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$') > $o). 1.80/0.75 tff('predicate_inj_on$f',axiom, 1.80/0.75 'inj_on$f'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_set$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register$o',type,'register$o': ('A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_register$o',axiom, 1.80/0.75 'register$o'('fmb_A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_fun_app$r',type,'fun_app$r': ('B_ell2_b_ell2_cblinfun_bool_fun$' * 'B_ell2_b_ell2_cblinfun$') > $o). 1.80/0.75 tff('predicate_fun_app$r',axiom, 1.80/0.75 'fun_app$r'('fmb_B_ell2_b_ell2_cblinfun_bool_fun$_1','fmb_B_ell2_b_ell2_cblinfun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register$g',type,'register$g': ('C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_register$g',axiom, 1.80/0.75 ~'register$g'('fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inj_on$g',type,'inj_on$g': ('Nat_nat_fun$' * 'Nat_set$') > $o). 1.80/0.75 tff('predicate_inj_on$g',axiom, 1.80/0.75 'inj_on$g'('fmb_Nat_nat_fun$_1','fmb_Nat_set$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inj_on$i',type,'inj_on$i': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_set$') > $o). 1.80/0.75 tff('predicate_inj_on$i',axiom, 1.80/0.75 'inj_on$i'('fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_set$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register$i',type,'register$i': ('B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_register$i',axiom, 1.80/0.75 'register$i'('fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_clinear$h',type,'clinear$h': ('C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_clinear$h',axiom, 1.80/0.75 'clinear$h'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register$a',type,'register$a': ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_register$a',axiom, 1.80/0.75 'register$a'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_inj_on$l',type,'inj_on$l': ('C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$') > $o). 1.80/0.75 tff('predicate_inj_on$l',axiom, 1.80/0.75 'inj_on$l'('fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_set$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_clinear$e',type,'clinear$e': ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_clinear$e',axiom, 1.80/0.75 'clinear$e'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_fun_app$',type,'fun_app$': ('C_ell2_c_ell2_cblinfun_bool_fun$' * 'C_ell2_c_ell2_cblinfun$') > $o). 1.80/0.75 tff('predicate_fun_app$',axiom, 1.80/0.75 'fun_app$'('fmb_C_ell2_c_ell2_cblinfun_bool_fun$_1','fmb_C_ell2_c_ell2_cblinfun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 tff('declare_register$e',type,'register$e': ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > $o). 1.80/0.75 tff('predicate_register$e',axiom, 1.80/0.75 'register$e'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') 1.80/0.75 1.80/0.75 ). 1.80/0.75 1.80/0.75 % SZS output end FiniteModel for theBenchmark 1.80/0.75 % (17150)------------------------------ 1.80/0.75 % (17150)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.80/0.75 % (17150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.80/0.75 % (17150)Termination reason: Satisfiable 1.80/0.75 1.80/0.75 % (17150)Time elapsed: 0.154 s 1.80/0.75 % (17150)Peak memory usage: 15 MB 1.80/0.75 % (17150)Instructions burned: 404 (million) 1.80/0.75 % (17150)------------------------------ 1.80/0.75 % (17150)------------------------------ 1.80/0.75 % (17134)Success in time 0.331 s 1.80/0.75 EOF