TSTP Solution File: ITP302_1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : ITP302_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Aug 22 10:44:27 EDT 2023

% Result   : Theorem 101.36s 73.59s
% Output   : CNFRefutation 101.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : ITP302_1 : TPTP v8.1.2. Released v8.0.0.
% 0.07/0.15  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36  % Computer : n023.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 19:06:37 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 101.36/73.59  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 101.36/73.60  
% 101.36/73.60  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 101.45/73.63  %$ functor_abbrev$ > member$l > member$k > member$j > member$i > member$h > member$g > member$f > member$e > member$d > less_eq$m > less_eq$l > less_eq$k > less_eq$j > less_eq$i > less_eq$h > less_eq$g > less_eq$f > less_eq$e > less_eq$d > less_eq$b > less_eq$a > less_eq$ > fun_app$p > fun_app$n > fun_app$m > fun_app$k > fun_app$j > fun_app$h > fun_app$f > fun_app$cl > fun_app$ck > fun_app$cj > fun_app$ci > fun_app$al > fun_app$ak > fun_app$ag > sup$a > preFunctor$b > preFunctor$a > preFunctor$ > lSCategory_axioms$ > lSCategory$ > functorM$c > functorM$b > functorM$a > functorM$ > functor$c > functor$b > functor$a > functor$ > extCategory$a > extCategory$ > category_axioms$a > category_axioms$ > category$a > category$ > category_ext$a > category_ext$ > zFfun$ > uwe$ > uwd$ > uwc$ > uwb$ > uwa$ > uvz$ > uvy$ > uvx$ > uvw$ > uvv$ > uvu$ > uvt$ > uvs$ > uvr$ > uvq$ > uvp$ > uvo$ > uvn$ > uvm$ > uvl$ > restrict$a > relInvImage$b > relInvImage$a > relInvImage$ > rec_set_bool$ > rec_bool$ > mapsTo$ > constFunctor$e > constFunctor$d > constFunctor$c > constFunctor$b > constFunctor$a > constFunctor$ > vas$ > vap$ > vam$ > vaj$ > uzz$ > uzu$ > uzt$ > uzs$ > uzr$ > uzp$ > uzo$ > uzm$ > uzl$ > uzk$ > uzj$ > uzi$ > uzh$ > uzg$ > uze$ > uzd$ > uzb$ > uza$ > uyy$ > uyx$ > uyv$ > uys$ > uyr$ > uyq$ > uyp$ > uyh$ > uyg$ > uyf$ > uyd$ > uyb$ > uxz$ > uxx$ > uxw$ > uxu$ > uxt$ > uxr$ > uxp$ > uxo$ > uxm$ > uxk$ > uxg$ > uxb$ > uxa$ > uwz$ > uwr$ > uwq$ > uwp$ > uwo$ > uwn$ > uwm$ > uwl$ > uwk$ > uwj$ > uwi$ > uwh$ > uwg$ > uwf$ > uvk$ > uvj$ > uvi$ > uvh$ > uvg$ > uvf$ > uve$ > uvd$ > uvc$ > uvb$ > uva$ > uuz$ > uuy$ > uux$ > uuq$ > uup$ > uuo$ > uuh$ > sigma$l > sigma$k > sigma$j > sigma$i > sigma$h > sigma$g > sigma$f > sigma$e > sigma$d > sigma$c > sigma$b > sigma$a > sigma$ > restrict$d > restrict$c > restrict$b > restrict$ > repl$ > relcomp$ > relImage$b > relImage$a > relImage$ > rec_unit$ > rec_set_unit$ > product$ > pair$d > pair$c > pair$b > pair$a > obj_update$a > obj_update$ > more_update$ > mor_update$a > mor_update$ > mapsTo$a > lambda$ > lSCategory_ext$ > inverse_rel$ > image$z > image$y > image$x > image$w > image$v > image$u > image$t > image$s > image$r > image$o > image$n > image$m > image$k > image$j > image$i > image$h > image$e > image$d > image$c > image$bq > image$bp > image$bo > image$bn > image$bm > image$bl > image$bk > image$bj > image$bi > image$bh > image$bg > image$bf > image$be > image$bd > image$bc > image$bb > image$ba > image$b > image$az > image$ay > image$ax > image$aw > image$as > image$ar > image$aq > image$ap > image$ao > image$an > image$am > image$al > image$ak > image$aj > image$ai > image$ah > image$ag > image$af > image$ae > image$ad > image$ac > image$ab > image$aa > id_update$ > homSet$ > homFtorMapContra$ > homFtorMap$ > homFtorContra$a > homFtorContra$ > homFtor$a > homFtor$ > hOMCollection$ > gr$c > gr$b > gr$a > gr$ > fun_app$z > fun_app$y > fun_app$x > fun_app$w > fun_app$v > fun_app$u > fun_app$t > fun_app$s > fun_app$r > fun_app$q > fun_app$o > fun_app$l > fun_app$i > fun_app$g > fun_app$e > fun_app$dd > fun_app$dc > fun_app$db > fun_app$da > fun_app$d > fun_app$cz > fun_app$cy > fun_app$cx > fun_app$cw > fun_app$cv > fun_app$cu > fun_app$ct > fun_app$cs > fun_app$cr > fun_app$cq > fun_app$cp > fun_app$co > fun_app$cn > fun_app$cm > fun_app$ch > fun_app$cg > fun_app$cf > fun_app$ce > fun_app$cd > fun_app$cc > fun_app$cb > fun_app$ca > fun_app$c > fun_app$bz > fun_app$by > fun_app$bx > fun_app$bw > fun_app$bv > fun_app$bu > fun_app$bt > fun_app$bs > fun_app$br > fun_app$bq > fun_app$bp > fun_app$bo > fun_app$bn > fun_app$bm > fun_app$bl > fun_app$bk > fun_app$bj > fun_app$bi > fun_app$bh > fun_app$bg > fun_app$bf > fun_app$be > fun_app$bd > fun_app$bc > fun_app$bb > fun_app$ba > fun_app$b > fun_app$az > fun_app$ay > fun_app$ax > fun_app$aw > fun_app$av > fun_app$au > fun_app$at > fun_app$as > fun_app$ar > fun_app$aq > fun_app$ap > fun_app$ao > fun_app$an > fun_app$am > fun_app$aj > fun_app$ai > fun_app$ah > fun_app$af > fun_app$ae > fun_app$ad > fun_app$ac > fun_app$ab > fun_app$aa > fun_app$a > fun_app$ > dom_update$a > dom_update$ > comp_update$ > compDefined$a > comp$j > comp$i > comp$h > comp$g > comp$f > comp$e > comp$d > comp$c > cod_update$ > #nlpp > zF2mor$ > vbb$ > vba$ > vaz$ > vay$ > vax$ > vaw$ > vav$ > vau$ > vat$ > var$ > vaq$ > vao$ > van$ > val$ > vak$ > vai$ > vag$ > vaf$ > vae$ > vad$ > vac$ > vab$ > vaa$ > uzy$ > uzx$ > uzw$ > uzv$ > uzq$ > uzn$ > uzf$ > uzc$ > uyz$ > uyw$ > uyu$ > uyt$ > uyo$ > uyl$ > uyj$ > uyi$ > uye$ > uyc$ > uya$ > uxy$ > uxv$ > uxs$ > uxq$ > uxn$ > uxl$ > uxi$ > uxh$ > uwx$ > uww$ > uwv$ > uwu$ > uwt$ > uus$ > uun$ > uum$ > uul$ > uuk$ > uuj$ > uui$ > uue$ > uud$ > unitFunctor$ > the$a > the$ > sup$j > sup$i > sup$h > sup$g > sup$c > sup$b > pair$ > oppositeCategory$a > oppositeCategory$ > objIso$ > obj$a > obj$ > more$b > more$a > more$ > mor2ZF$ > mor$a > mor$ > member$c > member$b > member$a > member$ > mapO$b > mapO$a > mapO$ > mapM$ > makeCat$a > makeCat$ > less_eq$c > isomorphism$a > isomorphism$ > inverse_rel$a > inverse$a > inverse$ > inf$b > inf$a > inf$ > image$q > image$p > image$l > image$g > image$f > image$av > image$au > image$at > image$a > image$ > identityFunctor$b > identityFunctor$a > identityFunctor$ > id$a > id$ > extensional$e > extensional$d > extensional$c > extensional$b > extensional$a > extensional$ > dom$a > dom$ > converse$ > compDefined$ > comp$b > comp$a > comp$ > collect$j > collect$i > collect$h > collect$g > collect$f > collect$e > collect$d > collect$c > collect$b > collect$a > collect$ > cod$a > cod$ > catDom$a > catDom$ > case_prod$p > case_prod$o > case_prod$n > case_prod$m > case_prod$l > case_prod$k > case_prod$j > case_prod$i > case_prod$h > case_prod$g > case_prod$f > case_prod$e > case_prod$d > case_prod$c > case_prod$b > case_prod$a > case_prod$ > zFfunDom$ > zFfunComp$ > zFfunCod$ > zFfunApp$ > vah$ > uyn$ > uym$ > uyk$ > uxj$ > uxf$ > uxe$ > uxd$ > uxc$ > uwy$ > uws$ > uuw$ > uuv$ > uuu$ > uut$ > uur$ > uug$ > uuf$ > uuc$ > uub$ > uua$ > uu$ > unity$ > top$i > top$h > top$g > top$f > top$e > top$d > top$c > top$b > top$a > top$ > tltrue > tlfalse > swap$ > sup$f > sup$e > sup$d > sup$ > sum$ > set$a > set$ > opair$ > isZFfun$ > g$ > f$ > explode$ > elem$ > cartProd$ > c$ > app$ > #skF_81 > #skF_219 > #skF_196 > #skF_227 > #skF_94 > #skF_45 > #skF_156 > #skF_77 > #skF_50 > #skF_173 > #skF_33 > #skF_11 > #skF_232 > #skF_61 > #skF_5 > #skF_171 > #skF_186 > #skF_164 > #skF_130 > #skF_4 > #skF_185 > #skF_74 > #skF_206 > #skF_216 > #skF_68 > #skF_267 > #skF_132 > #skF_223 > #skF_119 > #skF_204 > #skF_57 > #skF_228 > #skF_97 > #skF_244 > #skF_182 > #skF_85 > #skF_208 > #skF_14 > #skF_39 > #skF_142 > #skF_86 > #skF_137 > #skF_163 > #skF_91 > #skF_152 > #skF_213 > #skF_21 > #skF_198 > #skF_259 > #skF_82 > #skF_191 > #skF_240 > #skF_148 > #skF_205 > #skF_265 > #skF_214 > #skF_140 > #skF_190 > #skF_118 > #skF_144 > #skF_230 > #skF_55 > #skF_243 > #skF_235 > #skF_238 > #skF_172 > #skF_28 > #skF_258 > #skF_62 > #skF_257 > #skF_117 > #skF_103 > #skF_116 > #skF_23 > #skF_104 > #skF_146 > #skF_138 > #skF_157 > #skF_155 > #skF_256 > #skF_92 > #skF_239 > #skF_35 > #skF_253 > #skF_189 > #skF_106 > #skF_115 > #skF_1 > #skF_72 > #skF_188 > #skF_63 > #skF_268 > #skF_200 > #skF_26 > #skF_101 > #skF_83 > #skF_229 > #skF_6 > #skF_40 > #skF_233 > #skF_252 > #skF_95 > #skF_153 > #skF_105 > #skF_88 > #skF_129 > #skF_192 > #skF_215 > #skF_158 > #skF_9 > #skF_17 > #skF_250 > #skF_42 > #skF_224 > #skF_212 > #skF_46 > #skF_180 > #skF_211 > #skF_22 > #skF_169 > #skF_13 > #skF_162 > #skF_159 > #skF_127 > #skF_76 > #skF_107 > #skF_78 > #skF_80 > #skF_248 > #skF_47 > #skF_120 > #skF_135 > #skF_187 > #skF_79 > #skF_245 > #skF_220 > #skF_84 > #skF_53 > #skF_175 > #skF_2 > #skF_241 > #skF_122 > #skF_29 > #skF_263 > #skF_194 > #skF_254 > #skF_183 > #skF_210 > #skF_231 > #skF_100 > #skF_121 > #skF_70 > #skF_266 > #skF_113 > #skF_136 > #skF_167 > #skF_108 > #skF_71 > #skF_20 > #skF_36 > #skF_111 > #skF_8 > #skF_32 > #skF_75 > #skF_44 > #skF_131 > #skF_19 > #skF_41 > #skF_12 > #skF_177 > #skF_271 > #skF_73 > #skF_261 > #skF_150 > #skF_27 > #skF_255 > #skF_166 > #skF_48 > #skF_179 > #skF_126 > #skF_197 > #skF_269 > #skF_139 > #skF_7 > #skF_202 > #skF_207 > #skF_58 > #skF_66 > #skF_30 > #skF_114 > #skF_218 > #skF_236 > #skF_109 > #skF_251 > #skF_69 > #skF_128 > #skF_141 > #skF_87 > #skF_3 > #skF_181 > #skF_226 > #skF_260 > #skF_43 > #skF_209 > #skF_56 > #skF_217 > #skF_246 > #skF_225 > #skF_96 > #skF_168 > #skF_178 > #skF_221 > #skF_199 > #skF_59 > #skF_222 > #skF_165 > #skF_262 > #skF_98 > #skF_264 > #skF_64 > #skF_93 > #skF_60 > #skF_184 > #skF_123 > #skF_125 > #skF_134 > #skF_174 > #skF_18 > #skF_195 > #skF_25 > #skF_249 > #skF_89 > #skF_237 > #skF_37 > #skF_124 > #skF_102 > #skF_34 > #skF_16 > #skF_203 > #skF_65 > #skF_54 > #skF_151 > #skF_67 > #skF_110 > #skF_272 > #skF_52 > #skF_154 > #skF_242 > #skF_143 > #skF_147 > #skF_133 > #skF_273 > #skF_90 > #skF_38 > #skF_24 > #skF_31 > #skF_234 > #skF_15 > #skF_49 > #skF_176 > #skF_201 > #skF_270 > #skF_247 > #skF_145 > #skF_10 > #skF_112 > #skF_170 > #skF_99 > #skF_51 > #skF_161 > #skF_149 > #skF_193 > #skF_160
% 101.45/73.63  
% 101.45/73.63  %Foreground sorts:
% 101.45/73.63  tff(ZF_ZF_set_prod$, type, ZF_ZF_set_prod$: $tType ).
% 101.45/73.63  tff(B_ZF_fun_bool_fun$, type, B_ZF_fun_bool_fun$: $tType ).
% 101.45/73.63  tff(A$, type, A$: $tType ).
% 101.45/73.63  tff(Nat_b_fun$, type, Nat_b_fun$: $tType ).
% 101.45/73.63  tff(ZF_bool_fun_set$, type, ZF_bool_fun_set$: $tType ).
% 101.45/73.63  tff(ZF_nat_set_fun$, type, ZF_nat_set_fun$: $tType ).
% 101.45/73.63  tff(A_a_fun$, type, A_a_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_set_ZF_set_prod_fun$, type, ZF_ZF_set_ZF_set_prod_fun$: $tType ).
% 101.45/73.63  tff(Nat_ZF_prod_ZF_set_ZF_set_prod_fun$, type, Nat_ZF_prod_ZF_set_ZF_set_prod_fun$: $tType ).
% 101.45/73.63  tff(A_set_set$, type, A_set_set$: $tType ).
% 101.45/73.63  tff(ZF_ZF_fun$, type, ZF_ZF_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_prod_ZF_prod_set$, type, ZF_ZF_prod_ZF_prod_set$: $tType ).
% 101.45/73.63  tff(ZF_nat_ZF_ZF_prod_set_fun_fun$, type, ZF_nat_ZF_ZF_prod_set_fun_fun$: $tType ).
% 101.45/73.63  tff(Nat$, type, Nat$: $tType ).
% 101.45/73.63  tff(Nat_nat_prod_ZF_set_ZF_set_prod_fun$, type, Nat_nat_prod_ZF_set_ZF_set_prod_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_prod_set_ZF_set_fun$, type, ZF_ZF_prod_set_ZF_set_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_fun_bool_fun$, type, ZF_ZF_fun_bool_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_prod_ZF_set_fun$, type, ZF_ZF_prod_ZF_set_fun$: $tType ).
% 101.45/73.63  tff(ZF_set_set_ZF_set_set_set_fun$, type, ZF_set_set_ZF_set_set_set_fun$: $tType ).
% 101.45/73.63  tff(ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$, type, ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$: $tType ).
% 101.45/73.63  tff(Nat_nat_fun_set$, type, Nat_nat_fun_set$: $tType ).
% 101.45/73.63  tff(ZF_ZF_prod_nat_set_fun$, type, ZF_ZF_prod_nat_set_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_ZF_prod_fun$, type, ZF_ZF_ZF_prod_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_ZF_prod_prod_set$, type, ZF_ZF_ZF_prod_prod_set$: $tType ).
% 101.45/73.63  tff(ZF_set_ZF_set_set_fun$, type, ZF_set_ZF_set_set_fun$: $tType ).
% 101.45/73.63  tff(ZF_a_fun$, type, ZF_a_fun$: $tType ).
% 101.45/73.63  tff(ZF_set_set_bool_fun$, type, ZF_set_set_bool_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_prod_ZF_fun_set$, type, ZF_ZF_prod_ZF_fun_set$: $tType ).
% 101.45/73.63  tff(ZF_set_a_fun$, type, ZF_set_a_fun$: $tType ).
% 101.45/73.63  tff(Nat_ZF_ZF_set_ZF_set_prod_fun_fun$, type, Nat_ZF_ZF_set_ZF_set_prod_fun_fun$: $tType ).
% 101.45/73.63  tff(Bool_set$, type, Bool_set$: $tType ).
% 101.45/73.63  tff(Nat_ZF_ZF_set_fun_fun$, type, Nat_ZF_ZF_set_fun_fun$: $tType ).
% 101.45/73.63  tff(ZF_nat_prod_ZF_ZF_prod_set_fun$, type, ZF_nat_prod_ZF_ZF_prod_set_fun$: $tType ).
% 101.45/73.63  tff(B_ZF_set_fun$, type, B_ZF_set_fun$: $tType ).
% 101.45/73.63  tff(Nat_nat_prod_ZF_ZF_prod_set_fun$, type, Nat_nat_prod_ZF_ZF_prod_set_fun$: $tType ).
% 101.45/73.63  tff(A_set_a_set_fun$, type, A_set_a_set_fun$: $tType ).
% 101.45/73.63  tff(ZF_set_ZF_prod$, type, ZF_set_ZF_prod$: $tType ).
% 101.45/73.63  tff(Nat_nat_ZF_set_fun_fun$, type, Nat_nat_ZF_set_fun_fun$: $tType ).
% 101.45/73.63  tff(ZF_set_set_ZF_set_bool_fun_fun$, type, ZF_set_set_ZF_set_bool_fun_fun$: $tType ).
% 101.45/73.63  tff(ZF_set_bool_fun_set$, type, ZF_set_bool_fun_set$: $tType ).
% 101.45/73.63  tff(ZF_ZF_ZF_prod_set_fun$, type, ZF_ZF_ZF_prod_set_fun$: $tType ).
% 101.45/73.63  tff(ZF_set_ZF_set_prod$, type, ZF_set_ZF_set_prod$: $tType ).
% 101.45/73.63  tff(ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun$, type, ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun$: $tType ).
% 101.45/73.63  tff(A_set$, type, A_set$: $tType ).
% 101.45/73.63  tff(Nat_set_set_ZF_set_set_fun$, type, Nat_set_set_ZF_set_set_fun$: $tType ).
% 101.45/73.63  tff(B$, type, B$: $tType ).
% 101.45/73.63  tff(ZF_nat_prod_set$, type, ZF_nat_prod_set$: $tType ).
% 101.45/73.63  tff(ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun$, type, ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun$: $tType ).
% 101.45/73.63  tff(tlbool, type, tlbool: $tType ).
% 101.45/73.63  tff(ZF_ZF_prod_ZF_set_ZF_set_prod_fun$, type, ZF_ZF_prod_ZF_set_ZF_set_prod_fun$: $tType ).
% 101.45/73.63  tff(B_b_prod_b_fun_set$, type, B_b_prod_b_fun_set$: $tType ).
% 101.45/73.63  tff(ZF_bool_fun$, type, ZF_bool_fun$: $tType ).
% 101.45/73.63  tff(A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$, type, A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$: $tType ).
% 101.45/73.63  tff(B_a_fun_bool_fun$, type, B_a_fun_bool_fun$: $tType ).
% 101.45/73.63  tff(A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$, type, A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$: $tType ).
% 101.45/73.63  tff(ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun$, type, ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun$: $tType ).
% 101.45/73.63  tff(A_a_set_fun$, type, A_a_set_fun$: $tType ).
% 101.45/73.63  tff(A_set_a_bool_fun_fun$, type, A_set_a_bool_fun_fun$: $tType ).
% 101.45/73.63  tff(ZF_nat_prod_ZF_set_ZF_set_prod_fun$, type, ZF_nat_prod_ZF_set_ZF_set_prod_fun$: $tType ).
% 101.45/73.63  tff(B_ZF_fun$, type, B_ZF_fun$: $tType ).
% 101.45/73.63  tff(B_set_bool_fun$, type, B_set_bool_fun$: $tType ).
% 101.45/73.63  tff(B_b_prod_bool_fun$, type, B_b_prod_bool_fun$: $tType ).
% 101.45/73.63  tff(B_b_b_fun_fun$, type, B_b_b_fun_fun$: $tType ).
% 101.45/73.63  tff(ZF_nat_ZF_set_ZF_set_prod_fun_fun$, type, ZF_nat_ZF_set_ZF_set_prod_fun_fun$: $tType ).
% 101.45/73.63  tff(Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$, type, Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$: $tType ).
% 101.45/73.63  tff(A_bool_fun$, type, A_bool_fun$: $tType ).
% 101.45/73.63  tff(C$, type, C$: $tType ).
% 101.45/73.63  tff(ZF_set_ZF_set_fun$, type, ZF_set_ZF_set_fun$: $tType ).
% 101.45/73.63  tff(Nat_ZF_ZF_prod_prod_set$, type, Nat_ZF_ZF_prod_prod_set$: $tType ).
% 101.45/73.63  tff(ZF_ZF_ZF_set_prod_fun$, type, ZF_ZF_ZF_set_prod_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_prod_set_set_ZF_set_set_fun$, type, ZF_ZF_prod_set_set_ZF_set_set_fun$: $tType ).
% 101.45/73.63  tff(Nat_nat_fun$, type, Nat_nat_fun$: $tType ).
% 101.45/73.63  tff(B_bool_fun$, type, B_bool_fun$: $tType ).
% 101.45/73.63  tff(Nat_ZF_fun$, type, Nat_ZF_fun$: $tType ).
% 101.45/73.63  tff(A_b_fun$, type, A_b_fun$: $tType ).
% 101.45/73.63  tff(B_set_set$, type, B_set_set$: $tType ).
% 101.45/73.63  tff(B_b_prod$, type, B_b_prod$: $tType ).
% 101.45/73.63  tff(Nat_ZF_set_ZF_set_prod_fun$, type, Nat_ZF_set_ZF_set_prod_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun$, type, ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun$: $tType ).
% 101.45/73.63  tff(A_b_b_c_LSCategory_ext_Category_ext$, type, A_b_b_c_LSCategory_ext_Category_ext$: $tType ).
% 101.45/73.63  tff(ZF_ZF_fun_set$, type, ZF_ZF_fun_set$: $tType ).
% 101.45/73.63  tff(ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$, type, ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$: $tType ).
% 101.45/73.63  tff(Nat_ZF_ZF_prod_fun$, type, Nat_ZF_ZF_prod_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_prod_set_set_ZF_set_fun$, type, ZF_ZF_prod_set_set_ZF_set_fun$: $tType ).
% 101.45/73.63  tff(Nat_ZF_ZF_prod_set_fun$, type, Nat_ZF_ZF_prod_set_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_prod_ZF_set_ZF_prod_fun$, type, ZF_ZF_prod_ZF_set_ZF_prod_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_prod_ZF_fun$, type, ZF_ZF_prod_ZF_fun$: $tType ).
% 101.45/73.63  tff(A_b_set_fun$, type, A_b_set_fun$: $tType ).
% 101.45/73.63  tff(ZF_nat_fun_ZF_set_fun$, type, ZF_nat_fun_ZF_set_fun$: $tType ).
% 101.45/73.63  tff(A_ZF_set_fun$, type, A_ZF_set_fun$: $tType ).
% 101.45/73.63  tff(Nat_ZF_fun_set$, type, Nat_ZF_fun_set$: $tType ).
% 101.45/73.63  tff(ZF_ZF_ZF_set_fun_fun$, type, ZF_ZF_ZF_set_fun_fun$: $tType ).
% 101.45/73.63  tff(A_b_fun_set$, type, A_b_fun_set$: $tType ).
% 101.45/73.63  tff(Nat_nat_fun_ZF_set_fun$, type, Nat_nat_fun_ZF_set_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_fun_ZF_set_fun$, type, ZF_ZF_fun_ZF_set_fun$: $tType ).
% 101.45/73.63  tff(Nat_set_set_ZF_set_set_set_fun$, type, Nat_set_set_ZF_set_set_set_fun$: $tType ).
% 101.45/73.63  tff(Nat_set_set$, type, Nat_set_set$: $tType ).
% 101.45/73.63  tff(ZF_set_ZF_set_prod_set$, type, ZF_set_ZF_set_prod_set$: $tType ).
% 101.45/73.63  tff(ZF_set_set_set_ZF_set_set_fun$, type, ZF_set_set_set_ZF_set_set_fun$: $tType ).
% 101.45/73.63  tff(B_b_prod_set$, type, B_b_prod_set$: $tType ).
% 101.45/73.63  tff(Nat_set$, type, Nat_set$: $tType ).
% 101.45/73.63  tff(Nat_ZF_ZF_set_prod_fun$, type, Nat_ZF_ZF_set_prod_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_prod_set_set$, type, ZF_ZF_prod_set_set$: $tType ).
% 101.45/73.63  tff(ZF_ZF_ZF_ZF_prod_fun_fun$, type, ZF_ZF_ZF_ZF_prod_fun_fun$: $tType ).
% 101.45/73.63  tff(ZF_nat_ZF_set_fun_fun$, type, ZF_nat_ZF_set_fun_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun$, type, ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_fun_ZF_ZF_fun_fun$, type, ZF_ZF_fun_ZF_ZF_fun_fun$: $tType ).
% 101.45/73.63  tff(Nat_ZF_prod_ZF_ZF_prod_set_fun$, type, Nat_ZF_prod_ZF_ZF_prod_set_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_set_fun$, type, ZF_ZF_set_fun$: $tType ).
% 101.45/73.63  tff(ZF_b_set_fun$, type, ZF_b_set_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_set_set_fun$, type, ZF_ZF_set_set_fun$: $tType ).
% 101.45/73.63  tff(B_set$, type, B_set$: $tType ).
% 101.45/73.63  tff(Nat_nat_ZF_set_ZF_set_prod_fun_fun$, type, Nat_nat_ZF_set_ZF_set_prod_fun_fun$: $tType ).
% 101.45/73.63  tff(B_set_b_bool_fun_fun$, type, B_set_b_bool_fun_fun$: $tType ).
% 101.45/73.63  tff(Unit_unit_fun$, type, Unit_unit_fun$: $tType ).
% 101.45/73.63  tff(ZF$, type, ZF$: $tType ).
% 101.45/73.63  tff(ZF_set_ZF_prod_set$, type, ZF_set_ZF_prod_set$: $tType ).
% 101.45/73.63  tff(ZF_set_ZF_bool_fun_fun$, type, ZF_set_ZF_bool_fun_fun$: $tType ).
% 101.45/73.63  tff(ZF_set_ZF_ZF_prod_set_fun$, type, ZF_set_ZF_ZF_prod_set_fun$: $tType ).
% 101.45/73.63  tff(B_bool_fun_set$, type, B_bool_fun_set$: $tType ).
% 101.45/73.63  tff(ZF_ZF_set_prod_set$, type, ZF_ZF_set_prod_set$: $tType ).
% 101.45/73.63  tff(Nat_ZF_fun_ZF_set_fun$, type, Nat_ZF_fun_ZF_set_fun$: $tType ).
% 101.45/73.63  tff(Nat_bool_fun$, type, Nat_bool_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_prod$, type, ZF_ZF_prod$: $tType ).
% 101.45/73.63  tff(ZF_ZF_unit_Category_ext$, type, ZF_ZF_unit_Category_ext$: $tType ).
% 101.45/73.63  tff(B_a_set_fun$, type, B_a_set_fun$: $tType ).
% 101.45/73.63  tff(A_ZF_fun$, type, A_ZF_fun$: $tType ).
% 101.45/73.63  tff(ZF_set_set_ZF_set_set_fun$, type, ZF_set_set_ZF_set_set_fun$: $tType ).
% 101.45/73.63  tff(ZF_set$, type, ZF_set$: $tType ).
% 101.45/73.63  tff(B_b_set_fun$, type, B_b_set_fun$: $tType ).
% 101.45/73.63  tff(Nat_ZF_set_prod_set$, type, Nat_ZF_set_prod_set$: $tType ).
% 101.45/73.63  tff(B_ZF_fun_set$, type, B_ZF_fun_set$: $tType ).
% 101.45/73.63  tff(ZF_ZF_prod_nat_prod_set$, type, ZF_ZF_prod_nat_prod_set$: $tType ).
% 101.45/73.63  tff(ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun$, type, ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun$: $tType ).
% 101.45/73.63  tff(Nat_nat_prod_set$, type, Nat_nat_prod_set$: $tType ).
% 101.45/73.63  tff(Nat_ZF_ZF_ZF_prod_set_fun_fun$, type, Nat_ZF_ZF_ZF_prod_set_fun_fun$: $tType ).
% 101.45/73.63  tff(B_b_fun$, type, B_b_fun$: $tType ).
% 101.45/73.63  tff(ZF_nat_bool_fun_fun$, type, ZF_nat_bool_fun_fun$: $tType ).
% 101.45/73.63  tff(Nat_ZF_prod_set$, type, Nat_ZF_prod_set$: $tType ).
% 101.45/73.63  tff(A_b_fun_bool_fun$, type, A_b_fun_bool_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_prod_set$, type, ZF_ZF_prod_set$: $tType ).
% 101.45/73.63  tff(ZF_ZF_ZF_ZF_prod_set_fun_fun$, type, ZF_ZF_ZF_ZF_prod_set_fun_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_prod_ZF_ZF_prod_fun$, type, ZF_ZF_prod_ZF_ZF_prod_fun$: $tType ).
% 101.45/73.63  tff(B_a_fun$, type, B_a_fun$: $tType ).
% 101.45/73.63  tff(ZF_set_ZF_fun$, type, ZF_set_ZF_fun$: $tType ).
% 101.45/73.63  tff(A_set_bool_fun$, type, A_set_bool_fun$: $tType ).
% 101.45/73.63  tff(B_c_LSCategory_ext$, type, B_c_LSCategory_ext$: $tType ).
% 101.45/73.63  tff(ZF_ZF_prod_ZF_ZF_prod_prod_set$, type, ZF_ZF_prod_ZF_ZF_prod_prod_set$: $tType ).
% 101.45/73.63  tff(Nat_nat_ZF_ZF_prod_set_fun_fun$, type, Nat_nat_ZF_ZF_prod_set_fun_fun$: $tType ).
% 101.45/73.63  tff(B_a_fun_set$, type, B_a_fun_set$: $tType ).
% 101.45/73.63  tff(ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$, type, ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$: $tType ).
% 101.45/73.63  tff(ZF_set_bool_fun$, type, ZF_set_bool_fun$: $tType ).
% 101.45/73.63  tff(A_bool_fun_set$, type, A_bool_fun_set$: $tType ).
% 101.45/73.63  tff(ZF_ZF_prod_ZF_ZF_prod_set_fun$, type, ZF_ZF_prod_ZF_ZF_prod_set_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun$, type, ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun$: $tType ).
% 101.45/73.63  tff(ZF_nat_fun_set$, type, ZF_nat_fun_set$: $tType ).
% 101.45/73.63  tff(Nat_set_ZF_set_fun$, type, Nat_set_ZF_set_fun$: $tType ).
% 101.45/73.63  tff(Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$, type, Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$: $tType ).
% 101.45/73.63  tff(Nat_nat_set_fun$, type, Nat_nat_set_fun$: $tType ).
% 101.45/73.63  tff(ZF_a_set_fun$, type, ZF_a_set_fun$: $tType ).
% 101.45/73.63  tff(ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$, type, ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$: $tType ).
% 101.45/73.63  tff(ZF_ZF_ZF_fun_fun$, type, ZF_ZF_ZF_fun_fun$: $tType ).
% 101.45/73.63  tff(Nat_ZF_set_fun$, type, Nat_ZF_set_fun$: $tType ).
% 101.45/73.63  tff(Unit$, type, Unit$: $tType ).
% 101.45/73.63  tff(ZF_nat_fun$, type, ZF_nat_fun$: $tType ).
% 101.45/73.63  tff(Nat_set_ZF_set_set_fun$, type, Nat_set_ZF_set_set_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$, type, ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$: $tType ).
% 101.45/73.63  tff(Nat_set_set_nat_set_fun$, type, Nat_set_set_nat_set_fun$: $tType ).
% 101.45/73.63  tff(Nat_ZF_bool_fun_fun$, type, Nat_ZF_bool_fun_fun$: $tType ).
% 101.45/73.63  tff(ZF_set_set_set$, type, ZF_set_set_set$: $tType ).
% 101.45/73.63  tff(ZF_set_set$, type, ZF_set_set$: $tType ).
% 101.45/73.63  tff(B_b_prod_b_fun$, type, B_b_prod_b_fun$: $tType ).
% 101.45/73.63  tff(B_set_b_set_fun$, type, B_set_b_set_fun$: $tType ).
% 101.45/73.63  tff(ZF_b_fun$, type, ZF_b_fun$: $tType ).
% 101.45/73.63  tff(B_a_fun_b_a_fun_fun$, type, B_a_fun_b_a_fun_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_prod_bool_fun$, type, ZF_ZF_prod_bool_fun$: $tType ).
% 101.45/73.63  tff(Nat_ZF_set_set_fun$, type, Nat_ZF_set_set_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_bool_fun_fun$, type, ZF_ZF_bool_fun_fun$: $tType ).
% 101.45/73.63  tff(Nat_a_fun$, type, Nat_a_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_ZF_set_ZF_set_prod_fun_fun$, type, ZF_ZF_ZF_set_ZF_set_prod_fun_fun$: $tType ).
% 101.45/73.63  tff(ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$, type, ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$: $tType ).
% 101.45/73.63  tff(ZF_set_set_ZF_set_fun$, type, ZF_set_set_ZF_set_fun$: $tType ).
% 101.45/73.63  
% 101.45/73.63  %Background operators:
% 101.45/73.63  
% 101.45/73.63  
% 101.45/73.63  %Foreground operators:
% 101.45/73.63  tff('#skF_81', type, '#skF_81': A_b_b_c_LSCategory_ext_Category_ext$ > B$).
% 101.45/73.63  tff(homFtorContra$a, type, homFtorContra$a: (A_b_b_c_LSCategory_ext_Category_ext$ * A$) > A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$).
% 101.45/73.63  tff('#skF_219', type, '#skF_219': (A_set$ * A_set$ * A_ZF_set_fun$ * A_ZF_set_fun$) > A$).
% 101.45/73.63  tff(member$e, type, member$e: (Nat$ * Nat_set$) > $o).
% 101.45/73.63  tff(relInvImage$, type, relInvImage$: (ZF_set$ * ZF_set_ZF_set_prod_set$ * ZF_ZF_set_fun$) > ZF_ZF_prod_set$).
% 101.45/73.63  tff(collect$a, type, collect$a: ZF_ZF_prod_bool_fun$ > ZF_ZF_prod_set$).
% 101.45/73.63  tff('#skF_196', type, '#skF_196': (Nat_set$ * Nat_set$ * Nat_ZF_set_fun$ * Nat_ZF_set_fun$) > Nat$).
% 101.45/73.63  tff(uvx$, type, uvx$: (A_ZF_fun$ * A_set$ * ZF_bool_fun$) > ZF_bool_fun$).
% 101.45/73.63  tff(uxk$, type, uxk$: (ZF_bool_fun$ * ZF_ZF_bool_fun_fun$) > ZF_ZF_bool_fun_fun$).
% 101.45/73.63  tff('#skF_227', type, '#skF_227': (ZF_set_set$ * ZF_set_ZF_set_fun$ * ZF_set$) > ZF_set$).
% 101.45/73.63  tff('#skF_94', type, '#skF_94': ZF_ZF_unit_Category_ext$ > ZF$).
% 101.45/73.63  tff('#skF_45', type, '#skF_45': (ZF_bool_fun$ * ZF_bool_fun$) > ZF$).
% 101.45/73.63  tff('#skF_156', type, '#skF_156': (A$ * ZF_set_a_fun$ * ZF_set_set$) > ZF_set$).
% 101.45/73.63  tff('#skF_77', type, '#skF_77': A_b_b_c_LSCategory_ext_Category_ext$ > B$).
% 101.45/73.63  tff(uvz$, type, uvz$: (B_ZF_fun$ * B_set$ * ZF_bool_fun$) > ZF_bool_fun$).
% 101.45/73.63  tff(fun_app$ci, type, fun_app$ci: (ZF_ZF_fun_bool_fun$ * ZF_ZF_fun$) > $o).
% 101.45/73.63  tff(uzx$, type, uzx$: ZF_ZF_bool_fun_fun$ > ZF_ZF_set_fun$).
% 101.45/73.63  tff('#skF_50', type, '#skF_50': A_b_b_c_LSCategory_ext_Category_ext$ > A$).
% 101.45/73.63  tff('#skF_173', type, '#skF_173': (ZF_set$ * Nat_ZF_set_fun$) > Nat$).
% 101.45/73.63  tff(image$w, type, image$w: (ZF_set_ZF_fun$ * ZF_set_set$) > ZF_set$).
% 101.45/73.63  tff(uvm$, type, uvm$: (A_a_fun$ * A_set$ * A_bool_fun$) > A_bool_fun$).
% 101.45/73.63  tff(uvu$, type, uvu$: (ZF_a_fun$ * ZF_set$ * A_bool_fun$) > ZF_bool_fun$).
% 101.45/73.63  tff('#skF_33', type, '#skF_33': A_b_b_c_LSCategory_ext_Category_ext$ > B_a_fun$).
% 101.45/73.63  tff(less_eq$l, type, less_eq$l: (ZF_bool_fun$ * ZF_bool_fun$) > $o).
% 101.45/73.63  tff(uxm$, type, uxm$: (ZF_ZF_set_fun$ * ZF_ZF_prod_ZF_fun$) > ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$).
% 101.45/73.63  tff(image$bc, type, image$bc: (Nat_ZF_set_set_fun$ * Nat_set$) > ZF_set_set_set$).
% 101.45/73.63  tff('#skF_11', type, '#skF_11': (A_b_b_c_LSCategory_ext_Category_ext$ * B_b_prod$) > B$).
% 101.45/73.63  tff(fun_app$cx, type, fun_app$cx: (B_ZF_set_fun$ * B$) > ZF_set$).
% 101.45/73.63  tff('#skF_232', type, '#skF_232': (ZF_set_ZF_set_fun$ * ZF_set_set$ * ZF_set$) > ZF_set$).
% 101.45/73.63  tff(uuo$, type, uuo$: (A_b_b_c_LSCategory_ext_Category_ext$ * ZF$) > B_bool_fun$).
% 101.45/73.63  tff(uye$, type, uye$: ZF_ZF_prod_set$ > ZF_ZF_prod_ZF_ZF_prod_set_fun$).
% 101.45/73.63  tff('#skF_61', type, '#skF_61': ZF_ZF_unit_Category_ext$ > ZF$).
% 101.45/73.63  tff(uuf$, type, uuf$: ZF_ZF_bool_fun_fun$).
% 101.45/73.63  tff(obj_update$, type, obj_update$: (A_set_a_set_fun$ * A_b_b_c_LSCategory_ext_Category_ext$) > A_b_b_c_LSCategory_ext_Category_ext$).
% 101.45/73.63  tff(uvl$, type, uvl$: (A_a_fun$ * A_set$ * A_bool_fun$) > A_bool_fun$).
% 101.45/73.63  tff(inf$, type, inf$: ZF_set_set$ > ZF_set$).
% 101.45/73.63  tff('#skF_5', type, '#skF_5': (ZF_ZF_set_fun$ * ZF_set$) > ZF$).
% 101.45/73.63  tff('#skF_171', type, '#skF_171': (B$ * Nat_b_fun$) > Nat$).
% 101.45/73.63  tff(case_prod$b, type, case_prod$b: ZF_ZF_bool_fun_fun$ > ZF_ZF_prod_bool_fun$).
% 101.45/73.63  tff(top$b, type, top$b: ZF_ZF_prod_set$).
% 101.45/73.63  tff(uxv$, type, uxv$: Nat_set$ > ZF_ZF_prod_nat_set_fun$).
% 101.45/73.63  tff(fun_app$d, type, fun_app$d: (ZF_ZF_ZF_prod_fun$ * ZF$) > ZF_ZF_prod$).
% 101.45/73.63  tff(inf$a, type, inf$a: A_set_set$ > A_set$).
% 101.45/73.63  tff(uwx$, type, uwx$: Nat_ZF_fun$ > ZF_bool_fun$).
% 101.45/73.63  tff(image$bl, type, image$bl: (ZF_ZF_bool_fun_fun$ * ZF_set$) > ZF_bool_fun_set$).
% 101.45/73.63  tff(more_update$, type, more_update$: (Unit_unit_fun$ * ZF_ZF_unit_Category_ext$) > ZF_ZF_unit_Category_ext$).
% 101.45/73.63  tff(uua$, type, uua$: B_set_b_bool_fun_fun$).
% 101.45/73.63  tff('#skF_186', type, '#skF_186': (Nat_set$ * Nat_ZF_set_fun$ * ZF_set$) > Nat$).
% 101.45/73.63  tff('#skF_164', type, '#skF_164': A_b_b_c_LSCategory_ext_Category_ext$ > A$).
% 101.45/73.63  tff(uxl$, type, uxl$: ZF_ZF_bool_fun_fun$ > ZF_ZF_set_fun$).
% 101.45/73.63  tff(fun_app$ay, type, fun_app$ay: (Nat_ZF_set_set_fun$ * Nat$) > ZF_set_set$).
% 101.45/73.63  tff(fun_app$w, type, fun_app$w: (ZF_nat_fun_ZF_set_fun$ * ZF_nat_fun$) > ZF_set$).
% 101.45/73.63  tff(uzw$, type, uzw$: ZF_ZF_bool_fun_fun$ > ZF_ZF_bool_fun_fun$).
% 101.45/73.63  tff(sup$b, type, sup$b: A_set_set$ > A_set$).
% 101.45/73.63  tff('#skF_130', type, '#skF_130': (ZF_set$ * ZF_set$ * ZF_bool_fun$) > ZF$).
% 101.45/73.63  tff(image$ac, type, image$ac: (ZF_nat_prod_ZF_set_ZF_set_prod_fun$ * ZF_nat_prod_set$) > ZF_set_ZF_set_prod_set$).
% 101.45/73.63  tff(image$a, type, image$a: ZF_ZF_set_fun$ > ZF_set_ZF_set_set_fun$).
% 101.45/73.63  tff('#skF_4', type, '#skF_4': (ZF_ZF_fun$ * ZF$) > ZF$).
% 101.45/73.63  tff(fun_app$o, type, fun_app$o: (A_set_a_bool_fun_fun$ * A_set$) > A_bool_fun$).
% 101.45/73.63  tff(val$, type, val$: ZF_nat_ZF_set_fun_fun$ > Nat_ZF_set_fun$).
% 101.45/73.63  tff('#skF_185', type, '#skF_185': (ZF$ * ZF_ZF_set_fun$ * ZF_set$) > ZF$).
% 101.45/73.63  tff(top$h, type, top$h: ZF_nat_fun_set$).
% 101.45/73.63  tff(vat$, type, vat$: Nat_nat_ZF_set_fun_fun$ > Nat_nat_fun_ZF_set_fun$).
% 101.45/73.63  tff('#skF_74', type, '#skF_74': A_b_b_c_LSCategory_ext_Category_ext$ > B$).
% 101.45/73.63  tff(fun_app$ae, type, fun_app$ae: (ZF_set_ZF_set_fun$ * ZF_set$) > ZF_set$).
% 101.45/73.63  tff(image$d, type, image$d: (B_set_bool_fun$ * B_set_set$) > Bool_set$).
% 101.45/73.63  tff(mapsTo$a, type, mapsTo$a: (ZF_ZF_unit_Category_ext$ * ZF$) > ZF_ZF_bool_fun_fun$).
% 101.45/73.63  tff(uzn$, type, uzn$: Nat_ZF_set_fun$ > Nat_ZF_ZF_set_fun_fun$).
% 101.45/73.63  tff(fun_app$ch, type, fun_app$ch: (B_a_fun_b_a_fun_fun$ * B_a_fun$) > B_a_fun$).
% 101.45/73.63  tff('#skF_206', type, '#skF_206': (Nat_set$ * Nat_ZF_set_fun$ * ZF_set$) > Nat$).
% 101.45/73.63  tff(uvy$, type, uvy$: (A_ZF_fun$ * A_set$ * ZF_bool_fun$) > A_bool_fun$).
% 101.45/73.63  tff(restrict$b, type, restrict$b: (B_a_fun$ * B_set$) > B_a_fun$).
% 101.45/73.63  tff(fun_app$cy, type, fun_app$cy: (ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun$ * ZF_ZF_prod_set_set$) > ZF_ZF_prod_set$).
% 101.45/73.63  tff(fun_app$t, type, fun_app$t: (Nat_nat_fun_ZF_set_fun$ * Nat_nat_fun$) > ZF_set$).
% 101.45/73.63  tff(sigma$c, type, sigma$c: (Nat_set$ * Nat_ZF_set_fun$) > Nat_ZF_prod_set$).
% 101.45/73.63  tff(inverse_rel$a, type, inverse_rel$a: ZF_ZF_unit_Category_ext$ > ZF_ZF_bool_fun_fun$).
% 101.45/73.63  tff(fun_app$bp, type, fun_app$bp: (ZF_nat_ZF_ZF_prod_set_fun_fun$ * ZF$) > Nat_ZF_ZF_prod_set_fun$).
% 101.45/73.63  tff(fun_app$g, type, fun_app$g: (ZF_set_ZF_bool_fun_fun$ * ZF_set$) > ZF_bool_fun$).
% 101.45/73.63  tff(fun_app$ag, type, fun_app$ag: (Nat_bool_fun$ * Nat$) > $o).
% 101.45/73.63  tff(vap$, type, vap$: (Nat_ZF_ZF_set_fun_fun$ * ZF_nat_fun$) > ZF_ZF_set_fun$).
% 101.45/73.63  tff(uuu$, type, uuu$: ZF_ZF_fun$).
% 101.45/73.63  tff(zFfunDom$, type, zFfunDom$: ZF_ZF_fun$).
% 101.45/73.63  tff('#skF_216', type, '#skF_216': (ZF_ZF_set_fun$ * ZF_set$ * ZF_set$) > ZF$).
% 101.45/73.63  tff(relImage$a, type, relImage$a: (Nat_nat_prod_set$ * Nat_ZF_set_fun$) > ZF_set_ZF_set_prod_set$).
% 101.45/73.63  tff('#skF_68', type, '#skF_68': ZF_ZF_unit_Category_ext$ > ZF$).
% 101.45/73.63  tff(image$q, type, image$q: ZF_set_ZF_set_fun$ > ZF_set_set_ZF_set_set_fun$).
% 101.45/73.63  tff('#skF_267', type, '#skF_267': (A_set$ * ZF$ * A_ZF_set_fun$) > A$).
% 101.45/73.63  tff('#skF_132', type, '#skF_132': (B_set$ * B_set$ * B_bool_fun$ * B_bool_fun$) > B$).
% 101.45/73.63  tff(vba$, type, vba$: Nat_nat_ZF_set_fun_fun$ > Nat_ZF_set_fun$).
% 101.45/73.63  tff('#skF_223', type, '#skF_223': (Nat_set$ * Nat_ZF_set_fun$ * ZF_set$) > Nat$).
% 101.45/73.63  tff('#skF_119', type, '#skF_119': ZF_ZF_unit_Category_ext$ > ZF_ZF_fun$).
% 101.45/73.63  tff('#skF_204', type, '#skF_204': (B_set$ * Nat_set$ * B_ZF_set_fun$ * Nat_ZF_set_fun$) > B$).
% 101.45/73.63  tff('#skF_57', type, '#skF_57': A_b_b_c_LSCategory_ext_Category_ext$ > A$).
% 101.45/73.63  tff('#skF_228', type, '#skF_228': (Nat_ZF_set_fun$ * Nat_set$ * ZF_set$) > Nat$).
% 101.45/73.63  tff(uzi$, type, uzi$: (ZF_ZF_prod_ZF_fun$ * Nat_ZF_ZF_prod_set_fun$) > Nat_ZF_set_fun$).
% 101.45/73.63  tff('#skF_97', type, '#skF_97': ZF_ZF_unit_Category_ext$ > ZF$).
% 101.45/73.63  tff(lSCategory$, type, lSCategory$: A_b_b_c_LSCategory_ext_Category_ext$ > $o).
% 101.45/73.63  tff('#skF_244', type, '#skF_244': (A_set$ * A_set$ * A_ZF_set_fun$ * A_ZF_set_fun$) > A$).
% 101.45/73.63  tff(uym$, type, uym$: ZF_ZF_fun_ZF_ZF_fun_fun$).
% 101.45/73.63  tff(uxj$, type, uxj$: ZF_ZF_ZF_ZF_prod_fun_fun$).
% 101.45/73.63  tff('#skF_182', type, '#skF_182': (ZF$ * Nat_ZF_set_fun$ * Nat_set$) > Nat$).
% 101.45/73.63  tff('#skF_85', type, '#skF_85': A_b_b_c_LSCategory_ext_Category_ext$ > B$).
% 101.45/73.63  tff(image$bp, type, image$bp: (ZF_nat_fun_ZF_set_fun$ * ZF_nat_fun_set$) > ZF_set_set$).
% 101.45/73.63  tff(case_prod$o, type, case_prod$o: Nat_nat_ZF_ZF_prod_set_fun_fun$ > Nat_nat_prod_ZF_ZF_prod_set_fun$).
% 101.45/73.63  tff(fun_app$u, type, fun_app$u: (ZF_set_set_ZF_set_fun$ * ZF_set_set$) > ZF_set$).
% 101.45/73.63  tff('#skF_208', type, '#skF_208': (B_set$ * B_ZF_set_fun$ * ZF_set$) > B$).
% 101.45/73.63  tff(uwm$, type, uwm$: (A_ZF_fun$ * A_set$) > ZF_bool_fun$).
% 101.45/73.63  tff(rec_unit$, type, rec_unit$: (ZF$ * Unit$) > ZF$).
% 101.45/73.63  tff(image$aa, type, image$aa: (Nat_ZF_ZF_prod_fun$ * Nat_set$) > ZF_ZF_prod_set$).
% 101.45/73.63  tff(uwb$, type, uwb$: (ZF_ZF_fun$ * ZF_set$ * ZF_bool_fun$) > ZF_bool_fun$).
% 101.45/73.63  tff('#skF_14', type, '#skF_14': (ZF_ZF_set_fun$ * ZF_set$ * ZF_set$) > ZF$).
% 101.45/73.63  tff('#skF_39', type, '#skF_39': ZF_ZF_unit_Category_ext$ > ZF_set$).
% 101.45/73.63  tff(vbb$, type, vbb$: Nat_nat_ZF_set_fun_fun$ > Nat_nat_fun_ZF_set_fun$).
% 101.45/73.63  tff('#skF_142', type, '#skF_142': (Nat_bool_fun$ * Nat_ZF_set_fun$ * ZF_set_set$) > Nat$).
% 101.45/73.63  tff(member$c, type, member$c: A$ > A_set_bool_fun$).
% 101.45/73.63  tff(uzu$, type, uzu$: (ZF_ZF_set_fun$ * ZF_ZF_set_fun$) > ZF_ZF_ZF_ZF_prod_set_fun_fun$).
% 101.45/73.63  tff(functor$c, type, functor$c: ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$ > $o).
% 101.45/73.63  tff(case_prod$h, type, case_prod$h: Nat_ZF_ZF_set_ZF_set_prod_fun_fun$ > Nat_ZF_prod_ZF_set_ZF_set_prod_fun$).
% 101.45/73.63  tff(fun_app$n, type, fun_app$n: (A_bool_fun$ * A$) > $o).
% 101.45/73.63  tff('#skF_86', type, '#skF_86': A_b_b_c_LSCategory_ext_Category_ext$ > A$).
% 101.45/73.63  tff('#skF_137', type, '#skF_137': (ZF_ZF_fun_ZF_ZF_fun_fun$ * ZF_ZF_unit_Category_ext$ * ZF_ZF_fun_ZF_ZF_fun_fun$ * ZF_ZF_unit_Category_ext$ * ZF_ZF_fun$) > ZF_ZF_fun$).
% 101.45/73.63  tff('#skF_163', type, '#skF_163': A_b_b_c_LSCategory_ext_Category_ext$ > A$).
% 101.45/73.63  tff(collect$f, type, collect$f: A_b_fun_bool_fun$ > A_b_fun_set$).
% 101.45/73.63  tff(uzt$, type, uzt$: (Nat_ZF_set_fun$ * Nat_ZF_set_fun$) > Nat_nat_ZF_ZF_prod_set_fun_fun$).
% 101.45/73.63  tff('#skF_91', type, '#skF_91': ZF_ZF_unit_Category_ext$ > ZF$).
% 101.45/73.63  tff(hOMCollection$, type, hOMCollection$: (A_b_b_c_LSCategory_ext_Category_ext$ * A$) > A_ZF_set_fun$).
% 101.45/73.63  tff(uxt$, type, uxt$: (ZF_ZF_set_fun$ * ZF_set$) > ZF_ZF_set_set_fun$).
% 101.45/73.63  tff('#skF_152', type, '#skF_152': (B$ * ZF_b_fun$ * ZF_set$) > ZF$).
% 101.45/73.63  tff(pair$b, type, pair$b: (ZF$ * ZF_set$) > ZF_ZF_set_prod$).
% 101.45/73.63  tff('#skF_213', type, '#skF_213': (Nat_ZF_set_fun$ * Nat_set$ * ZF_set$) > Nat$).
% 101.45/73.63  tff(uwi$, type, uwi$: (ZF_ZF_fun$ * ZF_bool_fun$) > ZF_bool_fun$).
% 101.45/73.63  tff('#skF_21', type, '#skF_21': (ZF_ZF_set_fun$ * ZF_bool_fun$ * ZF_set$) > ZF$).
% 101.45/73.63  tff(uut$, type, uut$: ZF_bool_fun$).
% 101.45/73.63  tff('#skF_198', type, '#skF_198': (Nat_set$ * B_set$ * Nat_ZF_set_fun$ * B_ZF_set_fun$) > Nat$).
% 101.45/73.63  tff(image$ap, type, image$ap: (ZF_b_set_fun$ * ZF_set$) > B_set_set$).
% 101.45/73.63  tff(image$j, type, image$j: (ZF_set_a_fun$ * ZF_set_set$) > A_set$).
% 101.45/73.63  tff(fun_app$as, type, fun_app$as: (ZF_b_fun$ * ZF$) > B$).
% 101.45/73.63  tff('#skF_259', type, '#skF_259': (B$ * ZF_b_set_fun$ * ZF_set$) > ZF$).
% 101.45/73.63  tff('#skF_82', type, '#skF_82': A_b_b_c_LSCategory_ext_Category_ext$ > B$).
% 101.45/73.63  tff(c$, type, c$: A_b_b_c_LSCategory_ext_Category_ext$).
% 101.45/73.63  tff(vau$, type, vau$: ZF_ZF_ZF_set_fun_fun$ > ZF_ZF_set_fun$).
% 101.45/73.63  tff(inverse$, type, inverse$: A_b_b_c_LSCategory_ext_Category_ext$ > B_b_fun$).
% 101.45/73.63  tff('#skF_191', type, '#skF_191': (B_set$ * B_ZF_set_fun$ * ZF_set$) > ZF_set$).
% 101.45/73.63  tff(cod$, type, cod$: A_b_b_c_LSCategory_ext_Category_ext$ > B_a_fun$).
% 101.45/73.63  tff('#skF_240', type, '#skF_240': (ZF$ * A_ZF_set_fun$ * A_set$) > A$).
% 101.45/73.63  tff(image$, type, image$: Nat_ZF_set_fun$ > Nat_set_ZF_set_set_fun$).
% 101.45/73.63  tff(uvw$, type, uvw$: (ZF_b_fun$ * ZF_set$ * B_bool_fun$) > ZF_bool_fun$).
% 101.45/73.63  tff(uzo$, type, uzo$: (ZF_ZF_set_fun$ * Nat_ZF_set_fun$) > ZF_nat_ZF_ZF_prod_set_fun_fun$).
% 101.45/73.63  tff(uwu$, type, uwu$: ZF_ZF_set_fun$ > ZF_set_bool_fun$).
% 101.45/73.63  tff(pair$d, type, pair$d: (ZF_set$ * ZF_set$) > ZF_set_ZF_set_prod$).
% 101.45/73.63  tff('#skF_148', type, '#skF_148': (A$ * B_a_fun$ * B_set$) > B$).
% 101.45/73.63  tff('#skF_205', type, '#skF_205': (B_set$ * A_set$ * B_ZF_set_fun$ * A_ZF_set_fun$) > B$).
% 101.45/73.63  tff(functor$a, type, functor$a: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$ > $o).
% 101.45/73.63  tff(repl$, type, repl$: (ZF$ * ZF_ZF_fun$) > ZF$).
% 101.45/73.63  tff(fun_app$bd, type, fun_app$bd: (Nat_nat_set_fun$ * Nat$) > Nat_set$).
% 101.45/73.63  tff(fun_app$a, type, fun_app$a: (ZF_ZF_fun_ZF_ZF_fun_fun$ * ZF_ZF_fun$) > ZF_ZF_fun$).
% 101.45/73.63  tff('#skF_265', type, '#skF_265': (A_set$ * A$ * A_a_set_fun$) > A$).
% 101.45/73.63  tff(fun_app$ah, type, fun_app$ah: (ZF_nat_bool_fun_fun$ * ZF$) > Nat_bool_fun$).
% 101.45/73.63  tff(case_prod$g, type, case_prod$g: ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun$ > ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun$).
% 101.45/73.63  tff(uwk$, type, uwk$: (ZF_ZF_set_fun$ * ZF_set$) > ZF_set_bool_fun$).
% 101.45/73.63  tff('#skF_214', type, '#skF_214': (A_ZF_set_fun$ * A_set$ * ZF_set$) > A$).
% 101.45/73.63  tff(image$bf, type, image$bf: (Nat_nat_prod_ZF_ZF_prod_set_fun$ * Nat_nat_prod_set$) > ZF_ZF_prod_set_set$).
% 101.45/73.63  tff('#skF_140', type, '#skF_140': (ZF_ZF_unit_Category_ext$ * ZF_ZF_fun_ZF_ZF_fun_fun$ * ZF_ZF_fun_ZF_ZF_fun_fun$ * ZF_ZF_fun$ * ZF_ZF_unit_Category_ext$) > ZF_ZF_fun$).
% 101.45/73.63  tff(sup$g, type, sup$g: A_bool_fun_set$ > A_bool_fun$).
% 101.45/73.63  tff('#skF_190', type, '#skF_190': (B_set$ * B_ZF_set_fun$ * ZF_set$) > B$).
% 101.45/73.63  tff(case_prod$c, type, case_prod$c: ZF_ZF_ZF_ZF_prod_fun_fun$ > ZF_ZF_prod_ZF_ZF_prod_fun$).
% 101.45/73.63  tff(makeCat$a, type, makeCat$a: ZF_ZF_unit_Category_ext$ > ZF_ZF_unit_Category_ext$).
% 101.45/73.63  tff('#skF_118', type, '#skF_118': ZF_ZF_unit_Category_ext$ > ZF_ZF_fun$).
% 101.45/73.63  tff(restrict$d, type, restrict$d: (ZF_ZF_fun$ * ZF_set$) > ZF_ZF_fun$).
% 101.45/73.63  tff('#skF_144', type, '#skF_144': (ZF_bool_fun$ * ZF_b_fun$ * B_set$) > ZF$).
% 101.45/73.63  tff('#skF_230', type, '#skF_230': (B_ZF_set_fun$ * B_set$ * ZF_set$) > B$).
% 101.45/73.63  tff(uwt$, type, uwt$: ZF_ZF_prod_ZF_fun$ > ZF_bool_fun$).
% 101.45/73.63  tff(uxo$, type, uxo$: (ZF_ZF_prod_ZF_fun$ * ZF_ZF_prod_set$) > ZF_set_ZF_set_fun$).
% 101.45/73.63  tff('#skF_55', type, '#skF_55': A_b_b_c_LSCategory_ext_Category_ext$ > B$).
% 101.45/73.63  tff(functor$b, type, functor$b: ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$ > $o).
% 101.45/73.63  tff('#skF_243', type, '#skF_243': (Nat_set$ * Nat_set$ * Nat_ZF_set_fun$ * Nat_ZF_set_fun$) > Nat$).
% 101.45/73.63  tff(constFunctor$d, type, constFunctor$d: (ZF_ZF_unit_Category_ext$ * A_b_b_c_LSCategory_ext_Category_ext$ * A$) > ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$).
% 101.45/73.63  tff(extensional$a, type, extensional$a: ZF_set$ > ZF_ZF_fun_set$).
% 101.45/73.63  tff(comp$h, type, comp$h: (ZF_ZF_prod_set_ZF_set_fun$ * ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun$) > ZF_ZF_prod_set_set_ZF_set_fun$).
% 101.45/73.63  tff('#skF_235', type, '#skF_235': (A$ * ZF_a_set_fun$ * ZF_set$) > ZF$).
% 101.45/73.63  tff('#skF_238', type, '#skF_238': (B$ * ZF_b_set_fun$ * ZF_set$) > ZF$).
% 101.45/73.63  tff(opair$, type, opair$: ZF_ZF_ZF_fun_fun$).
% 101.45/73.63  tff(cod$a, type, cod$a: ZF_ZF_unit_Category_ext$ > ZF_ZF_fun$).
% 101.45/73.63  tff('#skF_172', type, '#skF_172': (ZF$ * Nat_ZF_fun$) > Nat$).
% 101.45/73.63  tff(catDom$, type, catDom$: A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$ > A_b_b_c_LSCategory_ext_Category_ext$).
% 101.45/73.63  tff(uuz$, type, uuz$: (ZF_set_set$ * ZF_set_bool_fun$) > ZF_set_bool_fun$).
% 101.45/73.63  tff('#skF_28', type, '#skF_28': (ZF_ZF_unit_Category_ext$ * ZF_ZF_unit_Category_ext$ * ZF_set_ZF_set_fun$ * ZF_set$ * ZF_set_ZF_set_fun$) > ZF_set$).
% 101.45/73.63  tff(mapO$a, type, mapO$a: A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$ > A_a_fun$).
% 101.45/73.63  tff(fun_app$ak, type, fun_app$ak: (ZF_ZF_prod_bool_fun$ * ZF_ZF_prod$) > $o).
% 101.45/73.63  tff(image$aj, type, image$aj: (ZF_ZF_prod_ZF_set_ZF_set_prod_fun$ * ZF_ZF_prod_set$) > ZF_set_ZF_set_prod_set$).
% 101.45/73.63  tff(uyk$, type, uyk$: ZF_ZF_ZF_set_fun_fun$).
% 101.45/73.63  tff('#skF_258', type, '#skF_258': (B$ * B_b_set_fun$ * B_set$) > B$).
% 101.45/73.63  tff(sigma$f, type, sigma$f: (ZF_set_set$ * ZF_set_ZF_set_fun$) > ZF_set_ZF_prod_set$).
% 101.45/73.63  tff(uxa$, type, uxa$: (Nat_ZF_set_fun$ * Nat_set$) > ZF_set_ZF_set_set_fun$).
% 101.45/73.63  tff(uww$, type, uww$: Nat_ZF_set_fun$ > ZF_set_bool_fun$).
% 101.45/73.63  tff(less_eq$, type, less_eq$: (A_set$ * A_set$) > $o).
% 101.45/73.63  tff(uvb$, type, uvb$: (ZF_bool_fun$ * ZF_bool_fun$) > ZF_bool_fun$).
% 101.45/73.63  tff(vao$, type, vao$: Nat_ZF_ZF_set_fun_fun$ > ZF_ZF_set_fun$).
% 101.45/73.63  tff('#skF_62', type, '#skF_62': ZF_ZF_unit_Category_ext$ > ZF$).
% 101.45/73.63  tff(uuy$, type, uuy$: (B_set$ * B_bool_fun$) > B_bool_fun$).
% 101.45/73.63  tff(fun_app$br, type, fun_app$br: (ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun$ * ZF_ZF_prod$) > ZF_ZF_prod_ZF_ZF_prod_fun$).
% 101.45/73.63  tff(constFunctor$c, type, constFunctor$c: (ZF_ZF_unit_Category_ext$ * ZF_ZF_unit_Category_ext$ * ZF$) > ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$).
% 101.45/73.63  tff(fun_app$bn, type, fun_app$bn: (ZF_ZF_ZF_ZF_prod_set_fun_fun$ * ZF$) > ZF_ZF_ZF_prod_set_fun$).
% 101.45/73.63  tff(image$ag, type, image$ag: (Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$ * Nat_ZF_ZF_prod_prod_set$) > ZF_set_ZF_prod_set$).
% 101.45/73.63  tff(uzm$, type, uzm$: (ZF_ZF_fun$ * Nat_ZF_set_fun$) > Nat_ZF_set_fun$).
% 101.45/73.63  tff('#skF_257', type, '#skF_257': (B$ * A_b_set_fun$ * A_set$) > A$).
% 101.45/73.63  tff(swap$, type, swap$: ZF_ZF_prod_ZF_ZF_prod_fun$).
% 101.45/73.63  tff(sigma$b, type, sigma$b: (ZF_set$ * ZF_nat_set_fun$) > ZF_nat_prod_set$).
% 101.45/73.63  tff('#skF_117', type, '#skF_117': ZF_ZF_unit_Category_ext$ > ZF_set$).
% 101.45/73.63  tff(uzq$, type, uzq$: ZF_ZF_set_fun$ > ZF_ZF_ZF_set_fun_fun$).
% 101.45/73.63  tff(uzj$, type, uzj$: (ZF_ZF_set_fun$ * ZF_ZF_set_fun$) > ZF_ZF_set_set_fun$).
% 101.45/73.63  tff(fun_app$c, type, fun_app$c: (ZF_set_ZF_ZF_prod_set_fun$ * ZF_set$) > ZF_ZF_prod_set$).
% 101.45/73.63  tff(vah$, type, vah$: ZF_ZF_ZF_fun_fun$).
% 101.45/73.63  tff(fun_app$cv, type, fun_app$cv: (ZF_a_set_fun$ * ZF$) > A_set$).
% 101.45/73.63  tff(fun_app$bw, type, fun_app$bw: (ZF_ZF_prod_ZF_set_ZF_prod_fun$ * ZF_ZF_prod$) > ZF_set_ZF_prod$).
% 101.45/73.63  tff(uum$, type, uum$: A_b_b_c_LSCategory_ext_Category_ext$ > B_b_b_fun_fun$).
% 101.45/73.63  tff(f$, type, f$: B$).
% 101.45/73.63  tff(functorM$a, type, functorM$a: A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$ > $o).
% 101.45/73.63  tff(uwl$, type, uwl$: (ZF_ZF_prod_ZF_fun$ * ZF_ZF_prod_set$) > ZF_bool_fun$).
% 101.45/73.63  tff(fun_app$bc, type, fun_app$bc: (ZF_nat_set_fun$ * ZF$) > Nat_set$).
% 101.45/73.63  tff(top$, type, top$: Nat_set$).
% 101.45/73.63  tff(fun_app$da, type, fun_app$da: (ZF_set_set_set_ZF_set_set_fun$ * ZF_set_set_set$) > ZF_set_set$).
% 101.45/73.63  tff('#skF_103', type, '#skF_103': (ZF_bool_fun$ * ZF$ * ZF$) > ZF$).
% 101.45/73.63  tff('#skF_116', type, '#skF_116': ZF_ZF_unit_Category_ext$ > ZF_set$).
% 101.45/73.63  tff(fun_app$cn, type, fun_app$cn: (ZF_set_set_ZF_set_set_fun$ * ZF_set_set$) > ZF_set_set$).
% 101.45/73.63  tff(more$b, type, more$b: A_b_b_c_LSCategory_ext_Category_ext$ > C$).
% 101.45/73.63  tff(fun_app$at, type, fun_app$at: (Nat_ZF_bool_fun_fun$ * Nat$) > ZF_bool_fun$).
% 101.45/73.63  tff('#skF_23', type, '#skF_23': (A_b_b_c_LSCategory_ext_Category_ext$ * A_b_b_c_LSCategory_ext_Category_ext$ * B_a_fun_b_a_fun_fun$ * B_a_fun$ * B_a_fun_b_a_fun_fun$) > B_a_fun$).
% 101.45/73.63  tff(homFtor$a, type, homFtor$a: (A_b_b_c_LSCategory_ext_Category_ext$ * A$) > A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$).
% 101.45/73.63  tff(fun_app$bk, type, fun_app$bk: (B_a_fun$ * B$) > A$).
% 101.45/73.63  tff(fun_app$bt, type, fun_app$bt: (ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun$ * ZF_ZF_prod$) > ZF_ZF_ZF_set_prod_fun$).
% 101.45/73.63  tff(uzd$, type, uzd$: (Nat_ZF_ZF_set_fun_fun$ * Nat_set$) > ZF_ZF_set_fun$).
% 101.45/73.63  tff(app$, type, app$: ZF_ZF_ZF_fun_fun$).
% 101.45/73.63  tff('#skF_104', type, '#skF_104': (ZF_bool_fun$ * ZF_bool_fun$ * ZF$) > ZF$).
% 101.45/73.63  tff('#skF_146', type, '#skF_146': (ZF_bool_fun$ * ZF_ZF_set_fun$ * ZF_set_set$) > ZF$).
% 101.45/73.63  tff('#skF_138', type, '#skF_138': (ZF_ZF_fun$ * ZF_ZF_fun_ZF_ZF_fun_fun$ * ZF_ZF_unit_Category_ext$ * ZF_ZF_fun_ZF_ZF_fun_fun$ * ZF_ZF_unit_Category_ext$) > ZF_ZF_fun$).
% 101.45/73.63  tff('#skF_157', type, '#skF_157': A_b_b_c_LSCategory_ext_Category_ext$ > B$).
% 101.45/73.63  tff('#skF_155', type, '#skF_155': (ZF$ * ZF_ZF_fun$ * ZF_set$) > ZF$).
% 101.45/73.63  tff(image$k, type, image$k: (B_ZF_fun$ * B_set$) > ZF_set$).
% 101.45/73.63  tff(tlfalse, type, tlfalse: tlbool).
% 101.45/73.63  tff('#skF_256', type, '#skF_256': (A$ * ZF_a_set_fun$ * ZF_set$) > ZF$).
% 101.45/73.63  tff('#skF_92', type, '#skF_92': ZF_ZF_unit_Category_ext$ > ZF$).
% 101.45/73.63  tff(fun_app$r, type, fun_app$r: (Nat_ZF_set_fun$ * Nat$) > ZF_set$).
% 101.45/73.63  tff('#skF_239', type, '#skF_239': (ZF$ * Nat_ZF_set_fun$ * Nat_set$) > Nat$).
% 101.45/73.63  tff(dom$a, type, dom$a: ZF_ZF_unit_Category_ext$ > ZF_ZF_fun$).
% 101.45/73.63  tff('#skF_35', type, '#skF_35': A_b_b_c_LSCategory_ext_Category_ext$ > A_b_fun$).
% 101.45/73.63  tff(category_axioms$a, type, category_axioms$a: ZF_ZF_unit_Category_ext$ > $o).
% 101.45/73.63  tff(fun_app$cj, type, fun_app$cj: (B_ZF_fun_bool_fun$ * B_ZF_fun$) > $o).
% 101.45/73.63  tff(functorM$c, type, functorM$c: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$ > $o).
% 101.45/73.63  tff('#skF_253', type, '#skF_253': (ZF_set$ * ZF_set_set$ * ZF_set_ZF_set_fun$ * ZF_set$) > ZF_set$).
% 101.45/73.63  tff(image$bk, type, image$bk: (ZF_set_ZF_bool_fun_fun$ * ZF_set_set$) > ZF_bool_fun_set$).
% 101.45/73.63  tff(image$al, type, image$al: (A_b_set_fun$ * A_set$) > B_set_set$).
% 101.45/73.63  tff('#skF_189', type, '#skF_189': (A_set$ * A_ZF_set_fun$ * ZF_set$) > ZF_set$).
% 101.45/73.63  tff('#skF_106', type, '#skF_106': (ZF_bool_fun$ * ZF$ * ZF_bool_fun$) > ZF$).
% 101.45/73.63  tff(less_eq$e, type, less_eq$e: (ZF_ZF_prod_set$ * ZF_ZF_prod_set$) > $o).
% 101.45/73.63  tff(sup$i, type, sup$i: ZF_set_bool_fun_set$ > ZF_set_bool_fun$).
% 101.45/73.63  tff(fun_app$m, type, fun_app$m: (B_set_bool_fun$ * B_set$) > $o).
% 101.45/73.63  tff('#skF_115', type, '#skF_115': (ZF$ * ZF$) > ZF$).
% 101.45/73.63  tff('#skF_1', type, '#skF_1': (ZF_ZF_bool_fun_fun$ * ZF$) > ZF$).
% 101.45/73.63  tff('#skF_72', type, '#skF_72': ZF_ZF_unit_Category_ext$ > ZF$).
% 101.45/73.63  tff(mor2ZF$, type, mor2ZF$: A_b_b_c_LSCategory_ext_Category_ext$ > B_ZF_fun$).
% 101.45/73.63  tff('#skF_188', type, '#skF_188': (A_set$ * A_ZF_set_fun$ * ZF_set$) > A$).
% 101.45/73.63  tff(uyj$, type, uyj$: ZF_set_set$ > Nat_ZF_set_set_fun$).
% 101.45/73.63  tff(zFfunComp$, type, zFfunComp$: ZF_ZF_ZF_fun_fun$).
% 101.45/73.63  tff(uwz$, type, uwz$: (ZF_ZF_set_fun$ * ZF_set$) > ZF_set_ZF_set_set_fun$).
% 101.45/73.63  tff(uxy$, type, uxy$: ZF_set$ > Nat_ZF_set_fun$).
% 101.45/73.63  tff(fun_app$s, type, fun_app$s: (ZF_ZF_set_fun$ * ZF$) > ZF_set$).
% 101.45/73.63  tff(image$as, type, image$as: (ZF_set_ZF_ZF_prod_set_fun$ * ZF_set_set$) > ZF_ZF_prod_set_set$).
% 101.45/73.63  tff('#skF_63', type, '#skF_63': ZF_ZF_unit_Category_ext$ > ZF$).
% 101.45/73.63  tff(image$i, type, image$i: (ZF_a_fun$ * ZF_set$) > A_set$).
% 101.45/73.63  tff(sigma$, type, sigma$: (ZF_set$ * ZF_ZF_set_fun$) > ZF_ZF_prod_set$).
% 101.45/73.63  tff(image$ah, type, image$ah: (Nat_nat_prod_ZF_set_ZF_set_prod_fun$ * Nat_nat_prod_set$) > ZF_set_ZF_set_prod_set$).
% 101.45/73.63  tff('#skF_268', type, '#skF_268': (B_set$ * A$ * B_a_set_fun$) > B$).
% 101.45/73.63  tff(fun_app$bh, type, fun_app$bh: (A_set_a_set_fun$ * A_set$) > A_set$).
% 101.45/73.63  tff(collect$, type, collect$: ZF_bool_fun$ > ZF_set$).
% 101.45/73.63  tff(image$y, type, image$y: (Nat_b_fun$ * Nat_set$) > B_set$).
% 101.45/73.63  tff('#skF_200', type, '#skF_200': (A_set$ * Nat_set$ * A_ZF_set_fun$ * Nat_ZF_set_fun$) > A$).
% 101.45/73.63  tff(relImage$b, type, relImage$b: (ZF_ZF_prod_ZF_ZF_prod_prod_set$ * ZF_ZF_prod_ZF_fun$) > ZF_ZF_prod_set$).
% 101.45/73.63  tff(oppositeCategory$, type, oppositeCategory$: A_b_b_c_LSCategory_ext_Category_ext$ > A_b_b_c_LSCategory_ext_Category_ext$).
% 101.45/73.63  tff(case_prod$e, type, case_prod$e: ZF_nat_ZF_set_ZF_set_prod_fun_fun$ > ZF_nat_prod_ZF_set_ZF_set_prod_fun$).
% 101.45/73.63  tff(uyw$, type, uyw$: ZF_ZF_ZF_set_fun_fun$ > ZF_ZF_ZF_set_fun_fun$).
% 101.45/73.63  tff(obj$a, type, obj$a: ZF_ZF_unit_Category_ext$ > ZF_set$).
% 101.45/73.63  tff(fun_app$ck, type, fun_app$ck: (B_a_fun_bool_fun$ * B_a_fun$) > $o).
% 101.45/73.63  tff(uva$, type, uva$: (ZF_set$ * ZF_bool_fun$) > ZF_bool_fun$).
% 101.45/73.63  tff(uyb$, type, uyb$: (Nat_ZF_set_fun$ * Nat_ZF_set_fun$) > Nat_nat_ZF_set_ZF_set_prod_fun_fun$).
% 101.45/73.63  tff(uwj$, type, uwj$: (Nat_ZF_set_fun$ * Nat_set$) > ZF_set_bool_fun$).
% 101.45/73.63  tff(category_ext$, type, category_ext$: (A_set$ * B_set$ * B_a_fun$ * B_a_fun$ * A_b_fun$ * B_b_b_fun_fun$ * B_c_LSCategory_ext$) > A_b_b_c_LSCategory_ext_Category_ext$).
% 101.45/73.63  tff(case_prod$m, type, case_prod$m: ZF_nat_ZF_ZF_prod_set_fun_fun$ > ZF_nat_prod_ZF_ZF_prod_set_fun$).
% 101.45/73.63  tff(image$p, type, image$p: A_a_fun$ > A_set_a_set_fun$).
% 101.45/73.63  tff(constFunctor$, type, constFunctor$: (A_b_b_c_LSCategory_ext_Category_ext$ * A_b_b_c_LSCategory_ext_Category_ext$ * A$) > A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$).
% 101.45/73.63  tff(identityFunctor$b, type, identityFunctor$b: ZF_ZF_unit_Category_ext$ > ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$).
% 101.45/73.63  tff(uyg$, type, uyg$: (ZF_ZF_fun$ * ZF_ZF_fun$) > ZF_ZF_ZF_ZF_prod_fun_fun$).
% 101.45/73.63  tff(uul$, type, uul$: ZF_ZF_prod_ZF_fun$ > ZF_ZF_ZF_fun_fun$).
% 101.45/73.63  tff(case_prod$, type, case_prod$: ZF_ZF_ZF_fun_fun$ > ZF_ZF_prod_ZF_fun$).
% 101.45/73.63  tff('#skF_26', type, '#skF_26': (ZF_ZF_fun_ZF_ZF_fun_fun$ * ZF_ZF_unit_Category_ext$ * ZF_ZF_fun_ZF_ZF_fun_fun$ * ZF_ZF_unit_Category_ext$ * ZF_ZF_fun$) > ZF_ZF_fun$).
% 101.45/73.63  tff('#skF_101', type, '#skF_101': (ZF_bool_fun$ * ZF$) > ZF$).
% 101.45/73.63  tff(isomorphism$, type, isomorphism$: ZF_ZF_unit_Category_ext$ > ZF_bool_fun$).
% 101.45/73.63  tff(fun_app$bm, type, fun_app$bm: (A_a_fun$ * A$) > A$).
% 101.45/73.63  tff(case_prod$d, type, case_prod$d: ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$ > ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$).
% 101.45/73.63  tff(image$aw, type, image$aw: (ZF_nat_set_fun$ * ZF_set$) > Nat_set_set$).
% 101.45/73.63  tff(uub$, type, uub$: ZF_set_set_ZF_set_bool_fun_fun$).
% 101.45/73.63  tff(fun_app$h, type, fun_app$h: (ZF_set_bool_fun$ * ZF_set$) > $o).
% 101.45/73.63  tff(collect$c, type, collect$c: ZF_ZF_fun_bool_fun$ > ZF_ZF_fun_set$).
% 101.45/73.63  tff('#skF_83', type, '#skF_83': A_b_b_c_LSCategory_ext_Category_ext$ > A$).
% 101.45/73.63  tff(image$m, type, image$m: (B_a_fun$ * B_set$) > A_set$).
% 101.45/73.63  tff(mapO$b, type, mapO$b: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$ > ZF_ZF_fun$).
% 101.45/73.63  tff(fun_app$bi, type, fun_app$bi: (ZF_a_fun$ * ZF$) > A$).
% 101.45/73.63  tff(image$bi, type, image$bi: (B_set_b_bool_fun_fun$ * B_set_set$) > B_bool_fun_set$).
% 101.45/73.63  tff('#skF_229', type, '#skF_229': (A_ZF_set_fun$ * A_set$ * ZF_set$) > A$).
% 101.45/73.63  tff('#skF_6', type, '#skF_6': (Nat_ZF_fun$ * ZF$) > Nat$).
% 101.45/73.63  tff(image$t, type, image$t: (ZF_ZF_prod_ZF_ZF_prod_fun$ * ZF_ZF_prod_set$) > ZF_ZF_prod_set$).
% 101.45/73.63  tff(fun_app$co, type, fun_app$co: (A_ZF_set_fun$ * A$) > ZF_set$).
% 101.45/73.63  tff(uzh$, type, uzh$: (ZF_ZF_prod_ZF_fun$ * ZF_ZF_ZF_prod_set_fun$) > ZF_ZF_set_fun$).
% 101.45/73.63  tff(uvt$, type, uvt$: (ZF_a_fun$ * ZF_set$ * A_bool_fun$) > A_bool_fun$).
% 101.45/73.63  tff(rec_bool$, type, rec_bool$: (ZF$ * ZF$ * tlbool) > ZF$).
% 101.45/73.63  tff(extensional$, type, extensional$: B_set$ > B_a_fun_set$).
% 101.45/73.63  tff(case_prod$k, type, case_prod$k: ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun$ > ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun$).
% 101.45/73.63  tff('#skF_40', type, '#skF_40': ZF_ZF_unit_Category_ext$ > ZF_ZF_fun$).
% 101.45/73.63  tff('#skF_233', type, '#skF_233': (A$ * A_a_set_fun$ * A_set$) > A$).
% 101.45/73.63  tff('#skF_252', type, '#skF_252': (ZF$ * ZF_set$ * ZF_ZF_set_fun$ * ZF_set$) > ZF$).
% 101.45/73.63  tff(uuh$, type, uuh$: (tlbool * ZF$) > ZF_ZF_bool_fun_fun$).
% 101.45/73.63  tff(uzy$, type, uzy$: ZF_nat_bool_fun_fun$ > ZF_bool_fun$).
% 101.45/73.63  tff(identityFunctor$, type, identityFunctor$: A_b_b_c_LSCategory_ext_Category_ext$ > A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$).
% 101.45/73.63  tff('#skF_95', type, '#skF_95': ZF_ZF_unit_Category_ext$ > ZF$).
% 101.45/73.63  tff(uwg$, type, uwg$: (ZF_ZF_set_fun$ * ZF_bool_fun$) > ZF_set_bool_fun$).
% 101.45/73.63  tff(obj$, type, obj$: A_b_b_c_LSCategory_ext_Category_ext$ > A_set$).
% 101.45/73.63  tff(relInvImage$b, type, relInvImage$b: (ZF_ZF_prod_set$ * ZF_ZF_prod_set$ * ZF_ZF_prod_ZF_fun$) > ZF_ZF_prod_ZF_ZF_prod_prod_set$).
% 101.45/73.63  tff('#skF_153', type, '#skF_153': (ZF$ * A_ZF_fun$ * A_set$) > A$).
% 101.45/73.63  tff('#skF_105', type, '#skF_105': (ZF_bool_fun$ * ZF_bool_fun$) > ZF$).
% 101.45/73.63  tff('#skF_88', type, '#skF_88': ZF_ZF_unit_Category_ext$ > ZF$).
% 101.45/73.63  tff(sup$h, type, sup$h: B_bool_fun_set$ > B_bool_fun$).
% 101.45/73.63  tff(uxh$, type, uxh$: ZF_bool_fun$ > ZF_ZF_set_fun$).
% 101.45/73.63  tff(image$ar, type, image$ar: (B_ZF_set_fun$ * B_set$) > ZF_set_set$).
% 101.45/73.63  tff('#skF_129', type, '#skF_129': (ZF_set_set$ * ZF_set_set$ * ZF_set_bool_fun$) > ZF_set$).
% 101.45/73.63  tff(more$a, type, more$a: ZF_ZF_unit_Category_ext$ > Unit$).
% 101.45/73.63  tff(set$, type, set$: ZF_ZF_unit_Category_ext$).
% 101.45/73.63  tff(uup$, type, uup$: (A_b_b_c_LSCategory_ext_Category_ext$ * B$) > ZF_ZF_fun$).
% 101.45/73.63  tff(fun_app$az, type, fun_app$az: (ZF_ZF_prod_ZF_ZF_prod_fun$ * ZF_ZF_prod$) > ZF_ZF_prod$).
% 101.45/73.63  tff('#skF_192', type, '#skF_192': (ZF_set$ * ZF_ZF_set_fun$ * ZF_set$) > ZF$).
% 101.45/73.63  tff(uuq$, type, uuq$: (A_b_b_c_LSCategory_ext_Category_ext$ * B$) > ZF_ZF_fun$).
% 101.45/73.63  tff(top$e, type, top$e: Nat_nat_prod_set$).
% 101.45/73.63  tff(image$be, type, image$be: (Nat_ZF_prod_ZF_ZF_prod_set_fun$ * Nat_ZF_prod_set$) > ZF_ZF_prod_set_set$).
% 101.45/73.63  tff(uus$, type, uus$: ZF$ > ZF_ZF_ZF_fun_fun$).
% 101.45/73.63  tff(fun_app$l, type, fun_app$l: (B_set_b_bool_fun_fun$ * B_set$) > B_bool_fun$).
% 101.45/73.63  tff(id_update$, type, id_update$: (ZF_ZF_fun_ZF_ZF_fun_fun$ * ZF_ZF_unit_Category_ext$) > ZF_ZF_unit_Category_ext$).
% 101.45/73.63  tff(uyv$, type, uyv$: (ZF_ZF_ZF_set_fun_fun$ * ZF_set$) > ZF_ZF_set_fun$).
% 101.45/73.63  tff(fun_app$ba, type, fun_app$ba: (Nat_ZF_ZF_prod_fun$ * Nat$) > ZF_ZF_prod$).
% 101.45/73.63  tff('#skF_215', type, '#skF_215': (B_ZF_set_fun$ * B_set$ * ZF_set$) > B$).
% 101.45/73.63  tff(uxr$, type, uxr$: (ZF_ZF_prod_ZF_fun$ * ZF_ZF_set_fun$) > ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun$).
% 101.45/73.63  tff(uxf$, type, uxf$: Nat_nat_set_fun$).
% 101.45/73.63  tff(uvi$, type, uvi$: (ZF_ZF_prod_ZF_fun$ * ZF_ZF_prod_ZF_ZF_prod_fun$) > ZF_ZF_prod_ZF_fun$).
% 101.45/73.63  tff(fun_app$ac, type, fun_app$ac: (Nat_ZF_ZF_set_fun_fun$ * Nat$) > ZF_ZF_set_fun$).
% 101.45/73.63  tff('#skF_158', type, '#skF_158': A_b_b_c_LSCategory_ext_Category_ext$ > B$).
% 101.45/73.63  tff(comp$a, type, comp$a: A_b_b_c_LSCategory_ext_Category_ext$ > B_b_b_fun_fun$).
% 101.45/73.63  tff(fun_app$cm, type, fun_app$cm: (Unit_unit_fun$ * Unit$) > Unit$).
% 101.45/73.63  tff(pair$c, type, pair$c: (ZF_set$ * ZF$) > ZF_set_ZF_prod$).
% 101.45/73.63  tff('#skF_9', type, '#skF_9': (ZF_ZF_unit_Category_ext$ * ZF_ZF_prod$) > ZF$).
% 101.45/73.63  tff('#skF_17', type, '#skF_17': (B_ZF_fun$ * B_set$ * ZF$) > B$).
% 101.45/73.63  tff(vaj$, type, vaj$: (ZF_ZF_ZF_set_fun_fun$ * ZF_ZF_fun$) > ZF_ZF_set_fun$).
% 101.45/73.63  tff('#skF_250', type, '#skF_250': (A$ * A_set$ * A_ZF_set_fun$ * ZF_set$) > A$).
% 101.45/73.63  tff('#skF_42', type, '#skF_42': ZF_ZF_unit_Category_ext$ > ZF_ZF_fun$).
% 101.45/73.63  tff(member$, type, member$: ZF$ > ZF_set_bool_fun$).
% 101.45/73.63  tff('#skF_224', type, '#skF_224': (A_set$ * A_ZF_set_fun$ * ZF_set$) > A$).
% 101.45/73.63  tff(top$c, type, top$c: ZF_nat_prod_set$).
% 101.45/73.63  tff(preFunctor$b, type, preFunctor$b: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$ > $o).
% 101.45/73.63  tff(less_eq$j, type, less_eq$j: (A_bool_fun$ * A_bool_fun$) > $o).
% 101.45/73.63  tff('#skF_212', type, '#skF_212': (Nat_ZF_set_fun$ * Nat_ZF_set_fun$ * Nat_set$) > Nat$).
% 101.45/73.63  tff('#skF_46', type, '#skF_46': (ZF_bool_fun$ * ZF_bool_fun$) > ZF$).
% 101.45/73.63  tff('#skF_180', type, '#skF_180': (B$ * B_b_set_fun$ * B_set$) > B$).
% 101.45/73.63  tff(fun_app$ad, type, fun_app$ad: (ZF_ZF_ZF_set_fun_fun$ * ZF$) > ZF_ZF_set_fun$).
% 101.45/73.63  tff(uwr$, type, uwr$: (ZF_ZF_prod_ZF_fun$ * Nat_ZF_ZF_prod_fun$) > Nat_ZF_fun$).
% 101.45/73.63  tff(uux$, type, uux$: (A_set$ * A_bool_fun$) > A_bool_fun$).
% 101.45/73.63  tff('#skF_211', type, '#skF_211': (ZF_ZF_set_fun$ * ZF_ZF_set_fun$ * ZF_set$) > ZF$).
% 101.45/73.63  tff(fun_app$bv, type, fun_app$bv: (ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun$ * ZF_ZF_prod$) > Nat_ZF_ZF_set_prod_fun$).
% 101.45/73.63  tff(image$ad, type, image$ad: (ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun$ * ZF_ZF_prod_ZF_prod_set$) > ZF_ZF_set_prod_set$).
% 101.45/73.63  tff('#skF_22', type, '#skF_22': (Nat_ZF_set_fun$ * Nat_bool_fun$ * ZF_set$) > Nat$).
% 101.45/73.63  tff(comp_update$, type, comp_update$: (ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$ * ZF_ZF_unit_Category_ext$) > ZF_ZF_unit_Category_ext$).
% 101.45/73.63  tff(vac$, type, vac$: Nat_ZF_set_fun$ > Nat_ZF_bool_fun_fun$).
% 101.45/73.63  tff(uxz$, type, uxz$: (Nat_ZF_set_fun$ * ZF_ZF_prod_ZF_fun$) > Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$).
% 101.45/73.63  tff(sigma$h, type, sigma$h: (ZF_set$ * ZF_ZF_set_set_fun$) > ZF_ZF_set_prod_set$).
% 101.45/73.63  tff('#skF_169', type, '#skF_169': (ZF_set$ * ZF_ZF_set_fun$) > ZF$).
% 101.45/73.63  tff(comp$g, type, comp$g: (ZF_set_set_ZF_set_fun$ * ZF_ZF_prod_set_set_ZF_set_set_fun$) > ZF_ZF_prod_set_set_ZF_set_fun$).
% 101.45/73.63  tff(fun_app$bu, type, fun_app$bu: (Nat_ZF_ZF_set_prod_fun$ * Nat$) > ZF_ZF_set_prod$).
% 101.45/73.63  tff('#skF_13', type, '#skF_13': (ZF_ZF_fun$ * ZF_set$ * ZF$) > ZF$).
% 101.45/73.63  tff('#skF_162', type, '#skF_162': A_b_b_c_LSCategory_ext_Category_ext$ > B$).
% 101.45/73.63  tff(mor_update$, type, mor_update$: (ZF_set_ZF_set_fun$ * ZF_ZF_unit_Category_ext$) > ZF_ZF_unit_Category_ext$).
% 101.45/73.63  tff('#skF_159', type, '#skF_159': A_b_b_c_LSCategory_ext_Category_ext$ > A$).
% 101.45/73.63  tff('#skF_127', type, '#skF_127': (A_set$ * A_set$ * A_bool_fun$) > A$).
% 101.45/73.63  tff(image$r, type, image$r: (Nat_ZF_fun$ * Nat_set$) > ZF_set$).
% 101.45/73.63  tff(uvo$, type, uvo$: (B_a_fun$ * B_set$ * A_bool_fun$) > B_bool_fun$).
% 101.45/73.63  tff('#skF_76', type, '#skF_76': A_b_b_c_LSCategory_ext_Category_ext$ > A$).
% 101.45/73.63  tff(less_eq$k, type, less_eq$k: (B_bool_fun$ * B_bool_fun$) > $o).
% 101.45/73.63  tff(image$e, type, image$e: (A_set_bool_fun$ * A_set_set$) > Bool_set$).
% 101.45/73.63  tff(fun_app$cu, type, fun_app$cu: (B_b_set_fun$ * B$) > B_set$).
% 101.45/73.63  tff(uxi$, type, uxi$: ZF_set$ > ZF_ZF_set_fun$).
% 101.45/73.63  tff(fun_app$cz, type, fun_app$cz: (Nat_set_set_nat_set_fun$ * Nat_set_set$) > Nat_set$).
% 101.45/73.63  tff(fun_app$be, type, fun_app$be: (ZF_set_ZF_fun$ * ZF_set$) > ZF$).
% 101.45/73.63  tff('#skF_107', type, '#skF_107': (ZF_bool_fun$ * ZF$ * ZF_bool_fun$) > ZF$).
% 101.45/73.63  tff(image$v, type, image$v: (Nat_nat_fun$ * Nat_set$) > Nat_set$).
% 101.45/73.63  tff(sigma$a, type, sigma$a: (ZF_set_set$ * ZF_set_ZF_set_set_fun$) > ZF_set_ZF_set_prod_set$).
% 101.45/73.63  tff(uxp$, type, uxp$: (ZF_ZF_set_fun$ * Nat_ZF_set_fun$) > ZF_nat_ZF_set_ZF_set_prod_fun_fun$).
% 101.45/73.63  tff(id$a, type, id$a: ZF_ZF_unit_Category_ext$ > ZF_ZF_fun$).
% 101.45/73.63  tff(uvr$, type, uvr$: (B_b_fun$ * B_set$ * B_bool_fun$) > B_bool_fun$).
% 101.45/73.63  tff(restrict$, type, restrict$: (ZF_ZF_prod_ZF_fun$ * ZF_ZF_prod_set$) > ZF_ZF_prod_ZF_fun$).
% 101.45/73.63  tff(less_eq$d, type, less_eq$d: (ZF_set_ZF_set_prod_set$ * ZF_set_ZF_set_prod_set$) > $o).
% 101.45/73.63  tff('#skF_78', type, '#skF_78': A_b_b_c_LSCategory_ext_Category_ext$ > B$).
% 101.45/73.63  tff(vaz$, type, vaz$: Nat_ZF_ZF_set_fun_fun$ > ZF_nat_fun_ZF_set_fun$).
% 101.45/73.63  tff(uwq$, type, uwq$: (ZF_ZF_prod_ZF_fun$ * ZF_ZF_ZF_prod_fun$) > ZF_ZF_fun$).
% 101.45/73.63  tff('#skF_80', type, '#skF_80': A_b_b_c_LSCategory_ext_Category_ext$ > B$).
% 101.45/73.63  tff(gr$a, type, gr$a: (ZF_ZF_prod_set$ * ZF_ZF_prod_ZF_fun$) > ZF_ZF_prod_ZF_prod_set$).
% 101.45/73.63  tff(uvs$, type, uvs$: (B_b_fun$ * B_set$ * B_bool_fun$) > B_bool_fun$).
% 101.45/73.63  tff(sum$, type, sum$: ZF_ZF_fun$).
% 101.45/73.63  tff(uzs$, type, uzs$: (ZF_ZF_set_fun$ * ZF_set$) > ZF_ZF_set_fun$).
% 101.45/73.63  tff(image$ba, type, image$ba: (Nat_ZF_ZF_prod_set_fun$ * Nat_set$) > ZF_ZF_prod_set_set$).
% 101.45/73.63  tff(uyi$, type, uyi$: ZF_set_set$ > ZF_ZF_set_set_fun$).
% 101.45/73.63  tff(fun_app$b, type, fun_app$b: (ZF_ZF_ZF_fun_fun$ * ZF$) > ZF_ZF_fun$).
% 101.45/73.63  tff(case_prod$n, type, case_prod$n: Nat_ZF_ZF_ZF_prod_set_fun_fun$ > Nat_ZF_prod_ZF_ZF_prod_set_fun$).
% 101.45/73.63  tff(obj_update$a, type, obj_update$a: (ZF_set_ZF_set_fun$ * ZF_ZF_unit_Category_ext$) > ZF_ZF_unit_Category_ext$).
% 101.45/73.63  tff('#skF_248', type, '#skF_248': Nat_ZF_set_fun$ > Nat$).
% 101.45/73.63  tff(gr$b, type, gr$b: (Nat_set$ * Nat_ZF_set_fun$) > Nat_ZF_set_prod_set$).
% 101.45/73.63  tff(uza$, type, uza$: (ZF_nat_ZF_set_fun_fun$ * ZF_set$) > Nat_ZF_set_fun$).
% 101.45/73.63  tff(homSet$, type, homSet$: (A_b_b_c_LSCategory_ext_Category_ext$ * A$) > A_ZF_fun$).
% 101.45/73.63  tff(uzz$, type, uzz$: (ZF_nat_bool_fun_fun$ * Nat$) > ZF_bool_fun$).
% 101.45/73.63  tff(constFunctor$a, type, constFunctor$a: (A_b_b_c_LSCategory_ext_Category_ext$ * ZF_ZF_unit_Category_ext$ * ZF$) > A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$).
% 101.45/73.63  tff(fun_app$bf, type, fun_app$bf: (A_ZF_fun$ * A$) > ZF$).
% 101.45/73.63  tff(member$f, type, member$f: (ZF_ZF_fun$ * ZF_ZF_fun_set$) > $o).
% 101.45/73.63  tff('#skF_47', type, '#skF_47': (ZF_ZF_unit_Category_ext$ * ZF$ * ZF$) > ZF$).
% 101.45/73.63  tff(lSCategory_axioms$, type, lSCategory_axioms$: A_b_b_c_LSCategory_ext_Category_ext$ > $o).
% 101.45/73.63  tff('#skF_120', type, '#skF_120': ZF_ZF_unit_Category_ext$ > ZF_ZF_fun$).
% 101.45/73.63  tff(uzl$, type, uzl$: (ZF_ZF_fun$ * ZF_ZF_set_fun$) > ZF_ZF_set_fun$).
% 101.45/73.63  tff('#skF_135', type, '#skF_135': (ZF_ZF_unit_Category_ext$ * ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$ * ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$ * ZF_ZF_ZF_fun_fun$ * ZF_ZF_unit_Category_ext$) > ZF_ZF_ZF_fun_fun$).
% 101.45/73.63  tff('#skF_187', type, '#skF_187': (Nat_set$ * Nat_ZF_set_fun$ * ZF_set$) > ZF_set$).
% 101.45/73.63  tff('#skF_79', type, '#skF_79': A_b_b_c_LSCategory_ext_Category_ext$ > B$).
% 101.45/73.63  tff(uzg$, type, uzg$: (Nat_nat_ZF_set_fun_fun$ * Nat_set$) > Nat_ZF_set_fun$).
% 101.45/73.63  tff('#skF_245', type, '#skF_245': (B_set$ * B_set$ * B_ZF_set_fun$ * B_ZF_set_fun$) > B$).
% 101.45/73.63  tff('#skF_220', type, '#skF_220': (B_set$ * B_set$ * B_ZF_set_fun$ * B_ZF_set_fun$) > B$).
% 101.45/73.63  tff(collect$e, type, collect$e: B_a_fun_bool_fun$ > B_a_fun_set$).
% 101.45/73.63  tff(uwp$, type, uwp$: (ZF_set_ZF_fun$ * ZF_set_set$) > ZF_bool_fun$).
% 101.45/73.63  tff(uui$, type, uui$: A_b_b_c_LSCategory_ext_Category_ext$ > B_b_prod_bool_fun$).
% 101.45/73.63  tff(member$b, type, member$b: B$ > B_set_bool_fun$).
% 101.45/73.63  tff('#skF_84', type, '#skF_84': A_b_b_c_LSCategory_ext_Category_ext$ > A$).
% 101.45/73.63  tff(fun_app$bj, type, fun_app$bj: (ZF_set_a_fun$ * ZF_set$) > A$).
% 101.45/73.63  tff(vam$, type, vam$: (ZF_nat_ZF_set_fun_fun$ * Nat_ZF_fun$) > Nat_ZF_set_fun$).
% 101.45/73.63  tff('#skF_53', type, '#skF_53': A_b_b_c_LSCategory_ext_Category_ext$ > B$).
% 101.45/73.63  tff(uzk$, type, uzk$: (ZF_ZF_set_fun$ * Nat_ZF_set_fun$) > Nat_ZF_set_set_fun$).
% 101.45/73.63  tff(g$, type, g$: B$).
% 101.45/73.63  tff(objIso$, type, objIso$: ZF_ZF_unit_Category_ext$ > ZF_ZF_bool_fun_fun$).
% 101.45/73.63  tff(case_prod$p, type, case_prod$p: ZF_ZF_ZF_ZF_prod_set_fun_fun$ > ZF_ZF_prod_ZF_ZF_prod_set_fun$).
% 101.45/73.63  tff('#skF_175', type, '#skF_175': (ZF_set$ * ZF_ZF_set_fun$) > ZF$).
% 101.45/73.63  tff('#skF_2', type, '#skF_2': (ZF_nat_bool_fun_fun$ * ZF$) > Nat$).
% 101.45/73.63  tff('#skF_241', type, '#skF_241': (ZF$ * B_ZF_set_fun$ * B_set$) > B$).
% 101.45/73.63  tff(image$an, type, image$an: (B_b_set_fun$ * B_set$) > B_set_set$).
% 101.45/73.63  tff('#skF_122', type, '#skF_122': (ZF$ * ZF$ * ZF$ * ZF_ZF_fun$ * ZF_ZF_fun$) > ZF$).
% 101.45/73.63  tff('#skF_29', type, '#skF_29': (A_b_b_c_LSCategory_ext_Category_ext$ * A_set$ * A_b_b_c_LSCategory_ext_Category_ext$ * A_set_a_set_fun$ * A_set_a_set_fun$) > A_set$).
% 101.45/73.63  tff('#skF_263', type, '#skF_263': (ZF$ * ZF_ZF_set_fun$ * ZF_set$) > ZF$).
% 101.45/73.63  tff(id$, type, id$: A_b_b_c_LSCategory_ext_Category_ext$ > A_b_fun$).
% 101.45/73.63  tff(fun_app$dc, type, fun_app$dc: (ZF_ZF_prod_set_set_ZF_set_set_fun$ * ZF_ZF_prod_set_set$) > ZF_set_set$).
% 101.45/73.63  tff(image$bo, type, image$bo: (Nat_ZF_fun_ZF_set_fun$ * Nat_ZF_fun_set$) > ZF_set_set$).
% 101.45/73.63  tff(uxq$, type, uxq$: Nat_set$ > ZF_nat_set_fun$).
% 101.45/73.63  tff(uvn$, type, uvn$: (B_a_fun$ * B_set$ * A_bool_fun$) > A_bool_fun$).
% 101.45/73.63  tff('#skF_194', type, '#skF_194': (ZF_set_set$ * ZF_set_ZF_set_fun$ * ZF_set$) > ZF_set$).
% 101.45/73.63  tff(inverse_rel$, type, inverse_rel$: (A_b_b_c_LSCategory_ext_Category_ext$ * B$) > B_bool_fun$).
% 101.45/73.63  tff(fun_app$cg, type, fun_app$cg: (ZF_ZF_prod_nat_set_fun$ * ZF_ZF_prod$) > Nat_set$).
% 101.45/73.63  tff(extensional$b, type, extensional$b: A_set$ > A_b_fun_set$).
% 101.45/73.63  tff(fun_app$bg, type, fun_app$bg: (B_set_b_set_fun$ * B_set$) > B_set$).
% 101.45/73.63  tff('#skF_254', type, '#skF_254': (A$ * A_a_set_fun$ * A_set$) > A$).
% 101.45/73.63  tff(zFfunCod$, type, zFfunCod$: ZF_ZF_fun$).
% 101.45/73.63  tff(fun_app$bb, type, fun_app$bb: (ZF_ZF_prod_ZF_set_fun$ * ZF_ZF_prod$) > ZF_set$).
% 101.45/73.63  tff(zFfun$, type, zFfun$: (ZF$ * ZF$ * ZF_ZF_fun$) > ZF$).
% 101.45/73.63  tff('#skF_183', type, '#skF_183': (ZF$ * A_ZF_set_fun$ * A_set$) > A$).
% 101.45/73.63  tff('#skF_210', type, '#skF_210': (ZF_set_set$ * ZF_set_ZF_set_fun$ * ZF_set$) > ZF_set$).
% 101.45/73.63  tff(restrict$a, type, restrict$a: (B_b_prod_b_fun$ * B_b_prod_set$ * B_b_prod$) > B$).
% 101.45/73.63  tff(uuj$, type, uuj$: ZF_ZF_unit_Category_ext$ > ZF_ZF_prod_bool_fun$).
% 101.45/73.63  tff('#skF_231', type, '#skF_231': (ZF_ZF_set_fun$ * ZF_set$ * ZF_set$) > ZF$).
% 101.45/73.63  tff('#skF_100', type, '#skF_100': (ZF_ZF_unit_Category_ext$ * ZF$ * ZF$) > ZF$).
% 101.45/73.63  tff(lSCategory_ext$, type, lSCategory_ext$: (B_ZF_fun$ * C$) > B_c_LSCategory_ext$).
% 101.45/73.63  tff(catDom$a, type, catDom$a: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$ > ZF_ZF_unit_Category_ext$).
% 101.45/73.63  tff('#skF_121', type, '#skF_121': ZF_ZF_unit_Category_ext$ > ZF_ZF_ZF_fun_fun$).
% 101.45/73.63  tff(uuc$, type, uuc$: ZF_set_ZF_bool_fun_fun$).
% 101.45/73.63  tff(image$ae, type, image$ae: (ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun$ * ZF_ZF_prod_nat_prod_set$) > ZF_ZF_set_prod_set$).
% 101.45/73.63  tff(top$g, type, top$g: Nat_ZF_fun_set$).
% 101.45/73.63  tff('#skF_70', type, '#skF_70': ZF_ZF_unit_Category_ext$ > ZF$).
% 101.45/73.63  tff('#skF_266', type, '#skF_266': (A_set$ * B$ * A_b_set_fun$) > A$).
% 101.45/73.63  tff(fun_app$ar, type, fun_app$ar: (B_ZF_fun$ * B$) > ZF$).
% 101.45/73.63  tff(fun_app$q, type, fun_app$q: (ZF_ZF_bool_fun_fun$ * ZF$) > ZF_bool_fun$).
% 101.45/73.63  tff('#skF_113', type, '#skF_113': (ZF$ * ZF_ZF_fun$ * ZF_ZF_fun$ * ZF$) > ZF$).
% 101.45/73.63  tff(vaq$, type, vaq$: Nat_ZF_ZF_set_fun_fun$ > ZF_nat_fun_ZF_set_fun$).
% 101.45/73.63  tff(fun_app$an, type, fun_app$an: (B_b_b_fun_fun$ * B$) > B_b_fun$).
% 101.45/73.63  tff(uyn$, type, uyn$: ZF_set_ZF_set_fun$).
% 101.45/73.63  tff(uws$, type, uws$: Nat_bool_fun$).
% 101.45/73.63  tff('#skF_136', type, '#skF_136': (ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$ * ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$ * ZF_ZF_unit_Category_ext$ * ZF_ZF_unit_Category_ext$ * ZF_ZF_ZF_fun_fun$) > ZF_ZF_ZF_fun_fun$).
% 101.45/73.63  tff(uwv$, type, uwv$: ZF_ZF_fun$ > ZF_bool_fun$).
% 101.45/73.63  tff(converse$, type, converse$: ZF_ZF_prod_set$ > ZF_ZF_prod_set$).
% 101.45/73.63  tff(sigma$l, type, sigma$l: (Nat_set$ * Nat_ZF_set_set_fun$) > Nat_ZF_set_prod_set$).
% 101.45/73.63  tff(image$at, type, image$at: Nat_set_ZF_set_set_fun$ > Nat_set_set_ZF_set_set_set_fun$).
% 101.45/73.63  tff(uxw$, type, uxw$: (Nat_ZF_set_fun$ * Nat_set$) > ZF_ZF_set_set_fun$).
% 101.45/73.63  tff(uxb$, type, uxb$: (ZF_ZF_prod_ZF_fun$ * ZF_ZF_prod_set$) > ZF_ZF_set_fun$).
% 101.45/73.63  tff(uuw$, type, uuw$: ZF_ZF_ZF_fun_fun$).
% 101.45/73.63  tff('#skF_167', type, '#skF_167': (B$ * ZF_b_fun$) > ZF$).
% 101.45/73.63  tff(fun_app$al, type, fun_app$al: (B_b_prod_bool_fun$ * B_b_prod$) > $o).
% 101.45/73.63  tff(vaa$, type, vaa$: ZF_nat_bool_fun_fun$ > Nat_ZF_set_fun$).
% 101.45/73.63  tff(fun_app$v, type, fun_app$v: (Nat_set_ZF_set_set_fun$ * Nat_set$) > ZF_set_set$).
% 101.45/73.63  tff(collect$b, type, collect$b: B_b_prod_bool_fun$ > B_b_prod_set$).
% 101.45/73.63  tff('#skF_108', type, '#skF_108': (ZF_bool_fun$ * ZF$) > ZF$).
% 101.45/73.63  tff(fun_app$i, type, fun_app$i: (ZF_set_set_ZF_set_bool_fun_fun$ * ZF_set_set$) > ZF_set_bool_fun$).
% 101.45/73.63  tff(comp$, type, comp$: ZF_ZF_unit_Category_ext$ > ZF_ZF_ZF_fun_fun$).
% 101.45/73.63  tff('#skF_71', type, '#skF_71': ZF_ZF_unit_Category_ext$ > ZF$).
% 101.45/73.63  tff(collect$g, type, collect$g: Nat_bool_fun$ > Nat_set$).
% 101.45/73.63  tff('#skF_20', type, '#skF_20': (ZF_ZF_fun$ * ZF_bool_fun$ * ZF$) > ZF$).
% 101.45/73.63  tff(vax$, type, vax$: ZF_nat_ZF_set_fun_fun$ > Nat_ZF_fun_ZF_set_fun$).
% 101.45/73.63  tff(uu$, type, uu$: A_set_a_bool_fun_fun$).
% 101.45/73.63  tff('#skF_36', type, '#skF_36': A_b_b_c_LSCategory_ext_Category_ext$ > B_b_b_fun_fun$).
% 101.45/73.63  tff(vae$, type, vae$: B_set_set$ > B_bool_fun$).
% 101.45/73.63  tff('#skF_111', type, '#skF_111': (ZF_bool_fun$ * ZF_ZF_ZF_fun_fun$ * ZF_ZF_prod$) > ZF$).
% 101.45/73.63  tff(uvg$, type, uvg$: (ZF_ZF_set_fun$ * Nat_ZF_fun$) > Nat_ZF_set_fun$).
% 101.45/73.63  tff(uxe$, type, uxe$: Nat_ZF_set_fun$).
% 101.45/73.63  tff(extCategory$, type, extCategory$: ZF_ZF_unit_Category_ext$ > $o).
% 101.45/73.63  tff('#skF_8', type, '#skF_8': (ZF_ZF_unit_Category_ext$ * ZF_ZF_prod$) > ZF$).
% 101.45/73.63  tff(lambda$, type, lambda$: (ZF$ * ZF_ZF_fun$) > ZF$).
% 101.45/73.63  tff(uwa$, type, uwa$: (B_ZF_fun$ * B_set$ * ZF_bool_fun$) > B_bool_fun$).
% 101.45/73.63  tff('#skF_32', type, '#skF_32': A_b_b_c_LSCategory_ext_Category_ext$ > B_set$).
% 101.45/73.63  tff('#skF_75', type, '#skF_75': A_b_b_c_LSCategory_ext_Category_ext$ > B$).
% 101.45/73.63  tff(van$, type, van$: ZF_nat_ZF_set_fun_fun$ > Nat_ZF_fun_ZF_set_fun$).
% 101.45/73.63  tff(uxu$, type, uxu$: (ZF_ZF_prod_ZF_fun$ * Nat_ZF_set_fun$) > ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun$).
% 101.45/73.63  tff(image$o, type, image$o: (A_b_fun$ * A_set$) > B_set$).
% 101.45/73.63  tff(vad$, type, vad$: A_set_set$ > A_bool_fun$).
% 101.45/73.63  tff(image$am, type, image$am: (B_a_set_fun$ * B_set$) > A_set_set$).
% 101.45/73.63  tff(fun_app$cl, type, fun_app$cl: (A_b_fun_bool_fun$ * A_b_fun$) > $o).
% 101.45/73.63  tff('#skF_44', type, '#skF_44': ZF_ZF_unit_Category_ext$ > Unit$).
% 101.45/73.63  tff(product$, type, product$: (ZF_set$ * ZF_set$) > ZF_ZF_prod_set$).
% 101.45/73.63  tff(uwn$, type, uwn$: (B_ZF_fun$ * B_set$) > ZF_bool_fun$).
% 101.45/73.63  tff('#skF_131', type, '#skF_131': (A_set$ * A_set$ * A_bool_fun$ * A_bool_fun$) > A$).
% 101.45/73.63  tff(fun_app$cp, type, fun_app$cp: (Nat_a_fun$ * Nat$) > A$).
% 101.45/73.63  tff('#skF_19', type, '#skF_19': (ZF_ZF_prod_ZF_fun$ * ZF_ZF_prod_bool_fun$ * ZF$) > ZF_ZF_prod$).
% 101.45/73.63  tff(collect$i, type, collect$i: B_bool_fun$ > B_set$).
% 101.45/73.63  tff('#skF_41', type, '#skF_41': ZF_ZF_unit_Category_ext$ > ZF_ZF_fun$).
% 101.45/73.63  tff(fun_app$aq, type, fun_app$aq: (ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$ * ZF_ZF_ZF_fun_fun$) > ZF_ZF_ZF_fun_fun$).
% 101.45/73.63  tff(uwo$, type, uwo$: (ZF_ZF_fun$ * ZF_set$) > ZF_bool_fun$).
% 101.45/73.63  tff(image$ab, type, image$ab: (ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$ * ZF_ZF_ZF_prod_prod_set$) > ZF_set_ZF_prod_set$).
% 101.45/73.63  tff(uvf$, type, uvf$: (ZF_ZF_set_fun$ * ZF_ZF_fun$) > ZF_ZF_set_fun$).
% 101.45/73.63  tff('#skF_12', type, '#skF_12': (ZF_ZF_prod_ZF_fun$ * ZF_ZF_prod_set$ * ZF$) > ZF_ZF_prod$).
% 101.45/73.63  tff('#skF_177', type, '#skF_177': (A$ * B_a_set_fun$ * B_set$) > B$).
% 101.45/73.63  tff('#skF_271', type, '#skF_271': (ZF_set$ * A$ * ZF_a_set_fun$) > ZF$).
% 101.45/73.63  tff(fun_app$, type, fun_app$: (ZF_ZF_fun$ * ZF$) > ZF$).
% 101.45/73.63  tff(image$bg, type, image$bg: (ZF_ZF_prod_ZF_ZF_prod_set_fun$ * ZF_ZF_prod_set$) > ZF_ZF_prod_set_set$).
% 101.45/73.63  tff(mor$a, type, mor$a: ZF_ZF_unit_Category_ext$ > ZF_set$).
% 101.45/73.63  tff(constFunctor$b, type, constFunctor$b: (ZF_ZF_unit_Category_ext$ * A_b_b_c_LSCategory_ext_Category_ext$ * A$) > ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$).
% 101.45/73.63  tff(uyo$, type, uyo$: ZF_ZF_set_fun$ > ZF_set_ZF_ZF_prod_set_fun$).
% 101.45/73.63  tff(case_prod$i, type, case_prod$i: Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$ > Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun$).
% 101.45/73.63  tff(sigma$j, type, sigma$j: (Nat_set$ * Nat_ZF_ZF_prod_set_fun$) > Nat_ZF_ZF_prod_prod_set$).
% 101.45/73.63  tff(fun_app$av, type, fun_app$av: (ZF_ZF_ZF_prod_set_fun$ * ZF$) > ZF_ZF_prod_set$).
% 101.45/73.63  tff(member$d, type, member$d: (ZF_ZF_prod$ * ZF_ZF_prod_set$) > $o).
% 101.45/73.63  tff('#skF_73', type, '#skF_73': ZF_ZF_unit_Category_ext$ > ZF$).
% 101.45/73.63  tff(uvc$, type, uvc$: (ZF_set_ZF_set_fun$ * ZF_ZF_set_fun$) > ZF_ZF_set_fun$).
% 101.45/73.63  tff('#skF_261', type, '#skF_261': (ZF$ * A_ZF_set_fun$ * A_set$) > A$).
% 101.45/73.63  tff(functor_abbrev$, type, functor_abbrev$: (A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$ * A_b_b_c_LSCategory_ext_Category_ext$ * ZF_ZF_unit_Category_ext$) > $o).
% 101.45/73.63  tff(uyq$, type, uyq$: (Nat_ZF_set_fun$ * Nat_nat_set_fun$) > Nat_ZF_set_fun$).
% 101.45/73.63  tff(collect$d, type, collect$d: B_ZF_fun_bool_fun$ > B_ZF_fun_set$).
% 101.45/73.63  tff('#skF_150', type, '#skF_150': (B$ * A_b_fun$ * A_set$) > A$).
% 101.45/73.63  tff('#skF_27', type, '#skF_27': (A_set$ * A_set_a_set_fun$ * A_b_b_c_LSCategory_ext_Category_ext$ * A_set_a_set_fun$ * A_b_b_c_LSCategory_ext_Category_ext$) > A_set$).
% 101.45/73.63  tff(less_eq$f, type, less_eq$f: (ZF_ZF_set_prod_set$ * ZF_ZF_set_prod_set$) > $o).
% 101.45/73.63  tff(sigma$g, type, sigma$g: (ZF_ZF_prod_set$ * ZF_ZF_prod_ZF_set_fun$) > ZF_ZF_prod_ZF_prod_set$).
% 101.45/73.63  tff(image$s, type, image$s: (ZF_ZF_prod_ZF_set_fun$ * ZF_ZF_prod_set$) > ZF_set_set$).
% 101.45/73.63  tff(sup$j, type, sup$j: ZF_bool_fun_set$ > ZF_bool_fun$).
% 101.45/73.63  tff(fun_app$ce, type, fun_app$ce: (Nat_nat_ZF_set_ZF_set_prod_fun_fun$ * Nat$) > Nat_ZF_set_ZF_set_prod_fun$).
% 101.45/73.63  tff(image$ak, type, image$ak: (A_a_set_fun$ * A_set$) > A_set_set$).
% 101.45/73.63  tff(vaf$, type, vaf$: ZF_set_set_set$ > ZF_set_bool_fun$).
% 101.45/73.63  tff(top$d, type, top$d: Nat_ZF_prod_set$).
% 101.45/73.63  tff(less_eq$a, type, less_eq$a: (B_set$ * B_set$) > $o).
% 101.45/73.63  tff('#skF_255', type, '#skF_255': (A$ * B_a_set_fun$ * B_set$) > B$).
% 101.45/73.63  tff(uzc$, type, uzc$: Nat_ZF_ZF_set_fun_fun$ > ZF_nat_ZF_set_fun_fun$).
% 101.45/73.63  tff(category_axioms$, type, category_axioms$: A_b_b_c_LSCategory_ext_Category_ext$ > $o).
% 101.45/73.63  tff(fun_app$ap, type, fun_app$ap: (Nat_nat_fun$ * Nat$) > Nat$).
% 101.45/73.63  tff('#skF_166', type, '#skF_166': (A$ * ZF_a_fun$) > ZF$).
% 101.45/73.63  tff(var$, type, var$: Nat_nat_ZF_set_fun_fun$ > Nat_ZF_set_fun$).
% 101.45/73.63  tff(homFtorMapContra$, type, homFtorMapContra$: (A_b_b_c_LSCategory_ext_Category_ext$ * B$) > A_ZF_fun$).
% 101.45/73.63  tff(fun_app$cd, type, fun_app$cd: (Nat_ZF_ZF_set_ZF_set_prod_fun_fun$ * Nat$) > ZF_ZF_set_ZF_set_prod_fun$).
% 101.45/73.63  tff(image$au, type, image$au: ZF_set_ZF_set_set_fun$ > ZF_set_set_ZF_set_set_set_fun$).
% 101.45/73.63  tff(zFfunApp$, type, zFfunApp$: ZF_ZF_ZF_fun_fun$).
% 101.45/73.63  tff('#skF_48', type, '#skF_48': A_b_b_c_LSCategory_ext_Category_ext$ > B$).
% 101.45/73.63  tff(image$b, type, image$b: (ZF_set_bool_fun$ * ZF_set_set$) > Bool_set$).
% 101.45/73.63  tff(uur$, type, uur$: ZF_ZF_fun$).
% 101.45/73.63  tff(inverse$a, type, inverse$a: ZF_ZF_unit_Category_ext$ > ZF_ZF_fun$).
% 101.45/73.63  tff(uue$, type, uue$: ZF_ZF_unit_Category_ext$ > ZF_ZF_ZF_fun_fun$).
% 101.45/73.63  tff(makeCat$, type, makeCat$: A_b_b_c_LSCategory_ext_Category_ext$ > A_b_b_c_LSCategory_ext_Category_ext$).
% 101.45/73.63  tff('#skF_179', type, '#skF_179': (B$ * A_b_set_fun$ * A_set$) > A$).
% 101.45/73.63  tff(sup$a, type, sup$a: Bool_set$ > $o).
% 101.45/73.63  tff(fun_app$cr, type, fun_app$cr: (A_a_set_fun$ * A$) > A_set$).
% 101.45/73.63  tff('#skF_126', type, '#skF_126': (ZF_ZF_unit_Category_ext$ * ZF_set_ZF_set_fun$ * ZF_ZF_unit_Category_ext$ * ZF_set_ZF_set_fun$ * ZF_set$) > ZF_set$).
% 101.45/73.63  tff(uwh$, type, uwh$: (ZF_ZF_prod_ZF_fun$ * ZF_ZF_prod_bool_fun$) > ZF_bool_fun$).
% 101.45/73.63  tff(less_eq$m, type, less_eq$m: (ZF_set_bool_fun$ * ZF_set_bool_fun$) > $o).
% 101.45/73.63  tff('#skF_197', type, '#skF_197': (Nat_set$ * A_set$ * Nat_ZF_set_fun$ * A_ZF_set_fun$) > Nat$).
% 101.45/73.63  tff('#skF_269', type, '#skF_269': (B_set$ * B$ * B_b_set_fun$) > B$).
% 101.45/73.63  tff(uzv$, type, uzv$: ZF_ZF_bool_fun_fun$ > ZF_bool_fun$).
% 101.45/73.63  tff(fun_app$cc, type, fun_app$cc: (Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$ * Nat$) > ZF_ZF_prod_ZF_set_ZF_prod_fun$).
% 101.45/73.63  tff(fun_app$ct, type, fun_app$ct: (B_a_set_fun$ * B$) > A_set$).
% 101.45/73.63  tff(uxs$, type, uxs$: ZF_set$ > ZF_ZF_prod_ZF_set_fun$).
% 101.45/73.63  tff(image$x, type, image$x: (Nat_a_fun$ * Nat_set$) > A_set$).
% 101.45/73.63  tff(member$h, type, member$h: (B_a_fun$ * B_a_fun_set$) > $o).
% 101.45/73.63  tff(pair$a, type, pair$a: (B$ * B$) > B_b_prod$).
% 101.45/73.63  tff('#skF_139', type, '#skF_139': (ZF_ZF_fun$ * ZF_ZF_fun_ZF_ZF_fun_fun$ * ZF_ZF_unit_Category_ext$ * ZF_ZF_fun_ZF_ZF_fun_fun$ * ZF_ZF_unit_Category_ext$) > ZF_ZF_fun$).
% 101.45/73.63  tff(functorM$b, type, functorM$b: ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$ > $o).
% 101.45/73.63  tff('#skF_7', type, '#skF_7': (Nat_ZF_set_fun$ * ZF_set$) > Nat$).
% 101.45/73.63  tff('#skF_202', type, '#skF_202': (A_set$ * B_set$ * A_ZF_set_fun$ * B_ZF_set_fun$) > A$).
% 101.45/73.63  tff(image$ay, type, image$ay: (Nat_set_ZF_set_fun$ * Nat_set_set$) > ZF_set_set$).
% 101.45/73.63  tff(mapM$, type, mapM$: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$ > B_ZF_fun$).
% 101.45/73.63  tff('#skF_207', type, '#skF_207': (A_set$ * A_ZF_set_fun$ * ZF_set$) > A$).
% 101.45/73.63  tff('#skF_58', type, '#skF_58': A_b_b_c_LSCategory_ext_Category_ext$ > A$).
% 101.45/73.63  tff('#skF_66', type, '#skF_66': ZF_ZF_unit_Category_ext$ > ZF$).
% 101.45/73.63  tff('#skF_30', type, '#skF_30': (ZF_ZF_unit_Category_ext$ * ZF_ZF_unit_Category_ext$ * ZF_set$ * ZF_set_ZF_set_fun$ * ZF_set_ZF_set_fun$) > ZF_set$).
% 101.45/73.63  tff('#skF_114', type, '#skF_114': (ZF$ * ZF_ZF_fun$ * ZF$) > ZF$).
% 101.45/73.63  tff('#skF_218', type, '#skF_218': (Nat_set$ * Nat_set$ * Nat_ZF_set_fun$ * Nat_ZF_set_fun$) > Nat$).
% 101.45/73.63  tff(uxg$, type, uxg$: (ZF_bool_fun$ * ZF_bool_fun$) > ZF_ZF_bool_fun_fun$).
% 101.45/73.63  tff(the$, type, the$: ZF_bool_fun$ > ZF$).
% 101.45/73.63  tff(fun_app$bx, type, fun_app$bx: (ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun$ * ZF$) > ZF_ZF_prod_ZF_set_ZF_prod_fun$).
% 101.45/73.63  tff(fun_app$bq, type, fun_app$bq: (Nat_nat_ZF_ZF_prod_set_fun_fun$ * Nat$) > Nat_ZF_ZF_prod_set_fun$).
% 101.45/73.63  tff(category_ext$a, type, category_ext$a: (ZF_set$ * ZF_set$ * ZF_ZF_fun$ * ZF_ZF_fun$ * ZF_ZF_fun$ * ZF_ZF_ZF_fun_fun$ * Unit$) > ZF_ZF_unit_Category_ext$).
% 101.45/73.63  tff('#skF_236', type, '#skF_236': (B$ * A_b_set_fun$ * A_set$) > A$).
% 101.45/73.63  tff(dom$, type, dom$: A_b_b_c_LSCategory_ext_Category_ext$ > B_a_fun$).
% 101.45/73.63  tff(fun_app$aw, type, fun_app$aw: (Nat_ZF_ZF_prod_set_fun$ * Nat$) > ZF_ZF_prod_set$).
% 101.45/73.63  tff('#skF_109', type, '#skF_109': (ZF_ZF_ZF_fun_fun$ * ZF_ZF_prod_ZF_fun$) > ZF$).
% 101.45/73.63  tff(zF2mor$, type, zF2mor$: A_b_b_c_LSCategory_ext_Category_ext$ > ZF_b_fun$).
% 101.45/73.63  tff('#skF_251', type, '#skF_251': (B$ * B_set$ * B_ZF_set_fun$ * ZF_set$) > B$).
% 101.45/73.63  tff(gr$c, type, gr$c: (ZF_set$ * ZF_ZF_fun$) > ZF_ZF_prod_set$).
% 101.45/73.63  tff(top$f, type, top$f: ZF_ZF_fun_set$).
% 101.45/73.64  tff(homFtor$, type, homFtor$: (A_b_b_c_LSCategory_ext_Category_ext$ * A$) > A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$).
% 101.45/73.64  tff('#skF_69', type, '#skF_69': ZF_ZF_unit_Category_ext$ > ZF$).
% 101.45/73.64  tff(fun_app$dd, type, fun_app$dd: (ZF_set_set_ZF_set_set_set_fun$ * ZF_set_set$) > ZF_set_set_set$).
% 101.45/73.64  tff(inf$b, type, inf$b: B_set_set$ > B_set$).
% 101.45/73.64  tff(image$z, type, image$z: (ZF_ZF_ZF_prod_fun$ * ZF_set$) > ZF_ZF_prod_set$).
% 101.45/73.64  tff(image$av, type, image$av: ZF_ZF_prod_set_ZF_set_fun$ > ZF_ZF_prod_set_set_ZF_set_set_fun$).
% 101.45/73.64  tff(fun_app$am, type, fun_app$am: (B_b_fun$ * B$) > B$).
% 101.45/73.64  tff('#skF_128', type, '#skF_128': (B_set$ * B_set$ * B_bool_fun$) > B$).
% 101.45/73.64  tff(sigma$d, type, sigma$d: (Nat_set$ * Nat_nat_set_fun$) > Nat_nat_prod_set$).
% 101.45/73.64  tff('#skF_141', type, '#skF_141': (ZF_ZF_prod_bool_fun$ * ZF_ZF_prod_ZF_fun$ * ZF_set$) > ZF_ZF_prod$).
% 101.45/73.64  tff(compDefined$a, type, compDefined$a: (A_b_b_c_LSCategory_ext_Category_ext$ * B$) > B_bool_fun$).
% 101.45/73.64  tff(comp$c, type, comp$c: (ZF_set_set_set_ZF_set_set_fun$ * Nat_set_set_ZF_set_set_set_fun$) > Nat_set_set_ZF_set_set_fun$).
% 101.45/73.64  tff(pair$, type, pair$: ZF$ > ZF_ZF_ZF_prod_fun$).
% 101.45/73.64  tff(preFunctor$, type, preFunctor$: ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$ > $o).
% 101.45/73.64  tff(image$bn, type, image$bn: (ZF_ZF_fun_ZF_set_fun$ * ZF_ZF_fun_set$) > ZF_set_set$).
% 101.45/73.64  tff('#skF_87', type, '#skF_87': ZF_ZF_unit_Category_ext$ > ZF$).
% 101.45/73.64  tff('#skF_3', type, '#skF_3': (ZF_ZF_prod_ZF_fun$ * ZF$) > ZF_ZF_prod$).
% 101.45/73.64  tff(category$, type, category$: A_b_b_c_LSCategory_ext_Category_ext$ > $o).
% 101.45/73.64  tff('#skF_181', type, '#skF_181': (B$ * ZF_b_set_fun$ * ZF_set$) > ZF$).
% 101.45/73.64  tff(uvq$, type, uvq$: (A_b_fun$ * A_set$ * B_bool_fun$) > A_bool_fun$).
% 101.45/73.64  tff('#skF_226', type, '#skF_226': (ZF_set$ * ZF_ZF_set_fun$ * ZF_set$) > ZF$).
% 101.45/73.64  tff('#skF_260', type, '#skF_260': (ZF$ * Nat_ZF_set_fun$ * Nat_set$) > Nat$).
% 101.45/73.64  tff(homFtorMap$, type, homFtorMap$: (A_b_b_c_LSCategory_ext_Category_ext$ * A$) > B_ZF_fun$).
% 101.45/73.64  tff(fun_app$cw, type, fun_app$cw: (ZF_b_set_fun$ * ZF$) > B_set$).
% 101.45/73.64  tff(extensional$c, type, extensional$c: B_b_prod_set$ > B_b_prod_b_fun_set$).
% 101.45/73.64  tff(case_prod$f, type, case_prod$f: ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun$ > ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun$).
% 101.45/73.64  tff(fun_app$by, type, fun_app$by: (ZF_ZF_set_ZF_set_prod_fun$ * ZF$) > ZF_set_ZF_set_prod$).
% 101.45/73.64  tff(isomorphism$a, type, isomorphism$a: A_b_b_c_LSCategory_ext_Category_ext$ > B_bool_fun$).
% 101.45/73.64  tff(image$ax, type, image$ax: (Nat_nat_set_fun$ * Nat_set$) > Nat_set_set$).
% 101.45/73.64  tff(member$j, type, member$j: (B_b_prod$ * B_b_prod_set$) > $o).
% 101.45/73.64  tff('#skF_43', type, '#skF_43': ZF_ZF_unit_Category_ext$ > ZF_ZF_ZF_fun_fun$).
% 101.45/73.64  tff(fun_app$bl, type, fun_app$bl: (A_b_fun$ * A$) > B$).
% 101.45/73.64  tff(sigma$e, type, sigma$e: (ZF_set$ * ZF_ZF_ZF_prod_set_fun$) > ZF_ZF_ZF_prod_prod_set$).
% 101.45/73.64  tff(uve$, type, uve$: (ZF_set_ZF_set_fun$ * Nat_ZF_set_fun$) > Nat_ZF_set_fun$).
% 101.45/73.64  tff(uvh$, type, uvh$: (ZF_ZF_set_fun$ * ZF_ZF_prod_ZF_fun$) > ZF_ZF_prod_ZF_set_fun$).
% 101.45/73.64  tff(fun_app$x, type, fun_app$x: (ZF_set_ZF_set_set_fun$ * ZF_set$) > ZF_set_set$).
% 101.45/73.64  tff(fun_app$ax, type, fun_app$ax: (ZF_ZF_set_set_fun$ * ZF$) > ZF_set_set$).
% 101.45/73.64  tff(uxx$, type, uxx$: (Nat_ZF_set_fun$ * ZF_ZF_set_fun$) > Nat_ZF_ZF_set_ZF_set_prod_fun_fun$).
% 101.45/73.64  tff(fun_app$bo, type, fun_app$bo: (Nat_ZF_ZF_ZF_prod_set_fun_fun$ * Nat$) > ZF_ZF_ZF_prod_set_fun$).
% 101.45/73.64  tff(uwy$, type, uwy$: ZF_ZF_bool_fun_fun$).
% 101.45/73.64  tff('#skF_209', type, '#skF_209': (ZF_set$ * ZF_ZF_set_fun$ * ZF_set$) > ZF$).
% 101.45/73.64  tff(fun_app$cb, type, fun_app$cb: (ZF_nat_ZF_set_ZF_set_prod_fun_fun$ * ZF$) > Nat_ZF_set_ZF_set_prod_fun$).
% 101.45/73.64  tff('#skF_56', type, '#skF_56': A_b_b_c_LSCategory_ext_Category_ext$ > B$).
% 101.45/73.64  tff(uyd$, type, uyd$: (ZF_ZF_prod_ZF_fun$ * ZF_ZF_prod_ZF_fun$) > ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun$).
% 101.45/73.64  tff(uxn$, type, uxn$: ZF_ZF_prod_set$ > ZF_ZF_ZF_prod_set_fun$).
% 101.45/73.64  tff('#skF_217', type, '#skF_217': (ZF_set_ZF_set_fun$ * ZF_set_set$ * ZF_set$) > ZF_set$).
% 101.45/73.64  tff(cod_update$, type, cod_update$: (ZF_ZF_fun_ZF_ZF_fun_fun$ * ZF_ZF_unit_Category_ext$) > ZF_ZF_unit_Category_ext$).
% 101.45/73.64  tff('#skF_246', type, '#skF_246': (ZF_set$ * ZF_set$ * ZF_ZF_set_fun$ * ZF_ZF_set_fun$) > ZF$).
% 101.45/73.64  tff(sigma$i, type, sigma$i: (ZF_ZF_prod_set$ * ZF_ZF_prod_nat_set_fun$) > ZF_ZF_prod_nat_prod_set$).
% 101.45/73.64  tff(fun_app$cq, type, fun_app$cq: (Nat_b_fun$ * Nat$) > B$).
% 101.45/73.64  tff('#skF_225', type, '#skF_225': (B_set$ * B_ZF_set_fun$ * ZF_set$) > B$).
% 101.45/73.64  tff('#skF_96', type, '#skF_96': ZF_ZF_unit_Category_ext$ > ZF$).
% 101.45/73.64  tff(fun_app$y, type, fun_app$y: (Nat_ZF_fun_ZF_set_fun$ * Nat_ZF_fun$) > ZF_set$).
% 101.45/73.64  tff(functorM$, type, functorM$: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$ > $o).
% 101.45/73.64  tff(fun_app$j, type, fun_app$j: (ZF_set_set_bool_fun$ * ZF_set_set$) > $o).
% 101.45/73.64  tff('#skF_168', type, '#skF_168': (ZF$ * ZF_ZF_fun$) > ZF$).
% 101.45/73.64  tff(fun_app$bz, type, fun_app$bz: (ZF_ZF_ZF_set_ZF_set_prod_fun_fun$ * ZF$) > ZF_ZF_set_ZF_set_prod_fun$).
% 101.45/73.64  tff('#skF_178', type, '#skF_178': (A$ * ZF_a_set_fun$ * ZF_set$) > ZF$).
% 101.45/73.64  tff(image$u, type, image$u: (ZF_nat_fun$ * ZF_set$) > Nat_set$).
% 101.45/73.64  tff(image$c, type, image$c: (ZF_set_set_bool_fun$ * ZF_set_set_set$) > Bool_set$).
% 101.45/73.64  tff(fun_app$db, type, fun_app$db: (Nat_set_set_ZF_set_set_set_fun$ * Nat_set_set$) > ZF_set_set_set$).
% 101.45/73.64  tff(vai$, type, vai$: ZF_ZF_ZF_set_fun_fun$ > ZF_ZF_set_fun$).
% 101.45/73.64  tff(fun_app$p, type, fun_app$p: (A_set_bool_fun$ * A_set$) > $o).
% 101.45/73.64  tff(elem$, type, elem$: ZF_ZF_bool_fun_fun$).
% 101.45/73.64  tff(oppositeCategory$a, type, oppositeCategory$a: ZF_ZF_unit_Category_ext$ > ZF_ZF_unit_Category_ext$).
% 101.45/73.64  tff('#skF_221', type, '#skF_221': (ZF_set$ * ZF_set$ * ZF_ZF_set_fun$ * ZF_ZF_set_fun$) > ZF$).
% 101.45/73.64  tff(member$l, type, member$l: (ZF_ZF_prod_ZF_fun$ * ZF_ZF_prod_ZF_fun_set$) > $o).
% 101.45/73.64  tff(uwc$, type, uwc$: (ZF_ZF_fun$ * ZF_set$ * ZF_bool_fun$) > ZF_bool_fun$).
% 101.45/73.64  tff('#skF_199', type, '#skF_199': (Nat_set$ * ZF_set$ * Nat_ZF_set_fun$ * ZF_ZF_set_fun$) > Nat$).
% 101.45/73.64  tff(uxd$, type, uxd$: ZF_nat_set_fun$).
% 101.45/73.64  tff(relcomp$, type, relcomp$: (ZF_ZF_prod_set$ * ZF_ZF_prod_set$) > ZF_ZF_prod_set$).
% 101.45/73.64  tff(restrict$c, type, restrict$c: (A_b_fun$ * A_set$) > A_b_fun$).
% 101.45/73.64  tff(more$, type, more$: A_b_b_c_LSCategory_ext_Category_ext$ > B_c_LSCategory_ext$).
% 101.45/73.64  tff('#skF_59', type, '#skF_59': A_b_b_c_LSCategory_ext_Category_ext$ > B$).
% 101.45/73.64  tff(uzb$, type, uzb$: (Nat_ZF_ZF_set_fun_fun$ * ZF_set$) > Nat_ZF_set_fun$).
% 101.45/73.64  tff('#skF_222', type, '#skF_222': (ZF_set_set$ * ZF_set_set$ * ZF_set_ZF_set_fun$ * ZF_set_ZF_set_fun$) > ZF_set$).
% 101.45/73.64  tff('#skF_165', type, '#skF_165': (ZF$ * ZF_ZF_prod_ZF_fun$) > ZF_ZF_prod$).
% 101.45/73.64  tff('#skF_262', type, '#skF_262': (ZF$ * B_ZF_set_fun$ * B_set$) > B$).
% 101.45/73.64  tff('#skF_98', type, '#skF_98': ZF_ZF_unit_Category_ext$ > ZF$).
% 101.45/73.64  tff(comp$e, type, comp$e: (ZF_set_set_set_ZF_set_set_fun$ * ZF_set_set_ZF_set_set_set_fun$) > ZF_set_set_ZF_set_set_fun$).
% 101.45/73.64  tff(homFtorContra$, type, homFtorContra$: (A_b_b_c_LSCategory_ext_Category_ext$ * A$) > A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$).
% 101.45/73.64  tff(less_eq$h, type, less_eq$h: (Nat_ZF_set_prod_set$ * Nat_ZF_set_prod_set$) > $o).
% 101.45/73.64  tff(sup$d, type, sup$d: ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun$).
% 101.45/73.64  tff('#skF_264', type, '#skF_264': (Nat_set$ * ZF$ * Nat_ZF_set_fun$) > Nat$).
% 101.45/73.64  tff('#skF_64', type, '#skF_64': ZF_ZF_unit_Category_ext$ > ZF$).
% 101.45/73.64  tff('#skF_93', type, '#skF_93': ZF_ZF_unit_Category_ext$ > ZF$).
% 101.45/73.64  tff(less_eq$b, type, less_eq$b: (ZF_set_set$ * ZF_set_set$) > $o).
% 101.45/73.64  tff(comp$d, type, comp$d: (Nat_set_ZF_set_set_fun$ * Nat_set_set_nat_set_fun$) > Nat_set_set_ZF_set_set_fun$).
% 101.45/73.64  tff(sigma$k, type, sigma$k: (ZF_ZF_prod_set$ * ZF_ZF_prod_ZF_ZF_prod_set_fun$) > ZF_ZF_prod_ZF_ZF_prod_prod_set$).
% 101.45/73.64  tff(mapO$, type, mapO$: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$ > A_ZF_fun$).
% 101.45/73.64  tff(fun_app$ao, type, fun_app$ao: (ZF_nat_fun$ * ZF$) > Nat$).
% 101.45/73.64  tff('#skF_60', type, '#skF_60': A_b_b_c_LSCategory_ext_Category_ext$ > A$).
% 101.45/73.64  tff('#skF_184', type, '#skF_184': (ZF$ * B_ZF_set_fun$ * B_set$) > B$).
% 101.45/73.64  tff(cartProd$, type, cartProd$: ZF_ZF_ZF_fun_fun$).
% 101.45/73.64  tff(image$aq, type, image$aq: (A_ZF_set_fun$ * A_set$) > ZF_set_set$).
% 101.45/73.64  tff('#skF_123', type, '#skF_123': (A_b_b_c_LSCategory_ext_Category_ext$ * B_set_b_set_fun$ * A_b_b_c_LSCategory_ext_Category_ext$ * B_set_b_set_fun$ * B_set$) > B_set$).
% 101.45/73.64  tff(uug$, type, uug$: ZF_ZF_bool_fun_fun$).
% 101.45/73.64  tff(extensional$d, type, extensional$d: ZF_ZF_prod_set$ > ZF_ZF_prod_ZF_fun_set$).
% 101.45/73.64  tff('#skF_125', type, '#skF_125': (A_b_b_c_LSCategory_ext_Category_ext$ * B_set_b_set_fun$ * B_set_b_set_fun$ * B_set$ * A_b_b_c_LSCategory_ext_Category_ext$) > B_set$).
% 101.45/73.64  tff('#skF_134', type, '#skF_134': (ZF_set$ * ZF_set$ * ZF_bool_fun$ * ZF_bool_fun$) > ZF$).
% 101.45/73.64  tff(fun_app$e, type, fun_app$e: (ZF_ZF_ZF_ZF_prod_fun_fun$ * ZF$) > ZF_ZF_ZF_prod_fun$).
% 101.45/73.64  tff(image$ao, type, image$ao: (ZF_a_set_fun$ * ZF_set$) > A_set_set$).
% 101.45/73.64  tff(uze$, type, uze$: (Nat_nat_ZF_set_fun_fun$ * Nat_set$) > Nat_ZF_set_fun$).
% 101.45/73.64  tff(identityFunctor$a, type, identityFunctor$a: ZF_ZF_unit_Category_ext$ > ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$).
% 101.45/73.64  tff(image$bm, type, image$bm: (Nat_ZF_bool_fun_fun$ * Nat_set$) > ZF_bool_fun_set$).
% 101.45/73.64  tff('#skF_174', type, '#skF_174': (ZF_set$ * ZF_set$ * ZF_ZF_set_fun$ * ZF_ZF_set_fun$) > ZF$).
% 101.45/73.64  tff(functor$, type, functor$: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$ > $o).
% 101.45/73.64  tff(case_prod$a, type, case_prod$a: B_b_b_fun_fun$ > B_b_prod_b_fun$).
% 101.45/73.64  tff(vav$, type, vav$: ZF_ZF_ZF_set_fun_fun$ > ZF_ZF_fun_ZF_set_fun$).
% 101.45/73.64  tff(uyu$, type, uyu$: ZF_ZF_set_fun$ > ZF_set_ZF_set_fun$).
% 101.45/73.64  tff('#skF_18', type, '#skF_18': (A_ZF_fun$ * A_set$ * ZF$) > A$).
% 101.45/73.64  tff(uwd$, type, uwd$: (ZF_set_a_fun$ * ZF_set_set$ * A_bool_fun$) > A_bool_fun$).
% 101.45/73.64  tff(uxc$, type, uxc$: ZF_ZF_set_fun$).
% 101.45/73.64  tff('#skF_195', type, '#skF_195': (ZF_set_set$ * ZF_set_ZF_set_fun$ * ZF_set$) > ZF_set$).
% 101.45/73.64  tff(case_prod$j, type, case_prod$j: Nat_nat_ZF_set_ZF_set_prod_fun_fun$ > Nat_nat_prod_ZF_set_ZF_set_prod_fun$).
% 101.45/73.64  tff(sup$c, type, sup$c: B_set_set$ > B_set$).
% 101.45/73.64  tff(extCategory$a, type, extCategory$a: A_b_b_c_LSCategory_ext_Category_ext$ > $o).
% 101.45/73.64  tff(sup$, type, sup$: ZF_set_set_ZF_set_fun$).
% 101.45/73.64  tff(uzr$, type, uzr$: (Nat_ZF_set_fun$ * ZF_ZF_set_fun$) > Nat_ZF_ZF_ZF_prod_set_fun_fun$).
% 101.45/73.64  tff(uvj$, type, uvj$: (Nat_ZF_set_fun$ * ZF_nat_fun$) > ZF_ZF_set_fun$).
% 101.45/73.64  tff(dom_update$, type, dom_update$: (B_a_fun_b_a_fun_fun$ * A_b_b_c_LSCategory_ext_Category_ext$) > A_b_b_c_LSCategory_ext_Category_ext$).
% 101.45/73.64  tff(uwf$, type, uwf$: (Nat_ZF_set_fun$ * Nat_bool_fun$) > ZF_set_bool_fun$).
% 101.45/73.64  tff(uzf$, type, uzf$: Nat_nat_ZF_set_fun_fun$ > Nat_nat_ZF_set_fun_fun$).
% 101.45/73.64  tff('#skF_25', type, '#skF_25': (A_b_b_c_LSCategory_ext_Category_ext$ * B_a_fun$ * B_a_fun_b_a_fun_fun$ * A_b_b_c_LSCategory_ext_Category_ext$ * B_a_fun_b_a_fun_fun$) > B_a_fun$).
% 101.45/73.64  tff(mor_update$a, type, mor_update$a: (B_set_b_set_fun$ * A_b_b_c_LSCategory_ext_Category_ext$) > A_b_b_c_LSCategory_ext_Category_ext$).
% 101.45/73.64  tff(fun_app$bs, type, fun_app$bs: (ZF_ZF_ZF_set_prod_fun$ * ZF$) > ZF_ZF_set_prod$).
% 101.45/73.64  tff(compDefined$, type, compDefined$: ZF_ZF_unit_Category_ext$ > ZF_ZF_bool_fun_fun$).
% 101.45/73.64  tff('#skF_249', type, '#skF_249': (Nat$ * Nat_set$ * Nat_ZF_set_fun$ * ZF_set$) > Nat$).
% 101.45/73.64  tff(uyx$, type, uyx$: (ZF_ZF_ZF_set_fun_fun$ * ZF_set$) > ZF_ZF_set_fun$).
% 101.45/73.64  tff(uuv$, type, uuv$: ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$).
% 101.45/73.64  tff('#skF_89', type, '#skF_89': ZF_ZF_unit_Category_ext$ > ZF$).
% 101.45/73.64  tff(image$af, type, image$af: (Nat_ZF_prod_ZF_set_ZF_set_prod_fun$ * Nat_ZF_prod_set$) > ZF_set_ZF_set_prod_set$).
% 101.45/73.64  tff(vag$, type, vag$: ZF_set_set$ > ZF_bool_fun$).
% 101.45/73.64  tff(top$a, type, top$a: ZF_set$).
% 101.45/73.64  tff(image$h, type, image$h: (ZF_b_fun$ * ZF_set$) > B_set$).
% 101.45/73.64  tff(uzp$, type, uzp$: (Nat_ZF_set_fun$ * Nat_set$) > ZF_ZF_set_fun$).
% 101.45/73.64  tff('#skF_237', type, '#skF_237': (B$ * B_b_set_fun$ * B_set$) > B$).
% 101.45/73.64  tff('#skF_37', type, '#skF_37': A_b_b_c_LSCategory_ext_Category_ext$ > B_c_LSCategory_ext$).
% 101.45/73.64  tff('#skF_124', type, '#skF_124': (ZF_set_ZF_set_fun$ * ZF_set$ * ZF_ZF_unit_Category_ext$ * ZF_set_ZF_set_fun$ * ZF_ZF_unit_Category_ext$) > ZF_set$).
% 101.45/73.64  tff(preFunctor$a, type, preFunctor$a: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$ > $o).
% 101.45/73.64  tff('#skF_102', type, '#skF_102': (ZF_bool_fun$ * ZF$) > ZF$).
% 101.45/73.64  tff('#skF_34', type, '#skF_34': A_b_b_c_LSCategory_ext_Category_ext$ > B_a_fun$).
% 101.45/73.64  tff(vaw$, type, vaw$: ZF_nat_ZF_set_fun_fun$ > Nat_ZF_set_fun$).
% 101.45/73.64  tff(uuk$, type, uuk$: ZF_ZF_fun$ > ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$).
% 101.45/73.64  tff(tltrue, type, tltrue: tlbool).
% 101.45/73.64  tff(fun_app$au, type, fun_app$au: (ZF_ZF_prod_set_ZF_set_fun$ * ZF_ZF_prod_set$) > ZF_set$).
% 101.45/73.64  tff('#skF_16', type, '#skF_16': (Nat_ZF_set_fun$ * Nat_set$ * ZF_set$) > Nat$).
% 101.45/73.64  tff('#skF_203', type, '#skF_203': (A_set$ * ZF_set$ * A_ZF_set_fun$ * ZF_ZF_set_fun$) > A$).
% 101.45/73.64  tff('#skF_65', type, '#skF_65': ZF_ZF_unit_Category_ext$ > ZF$).
% 101.45/73.64  tff(isZFfun$, type, isZFfun$: ZF_bool_fun$).
% 101.45/73.64  tff(member$k, type, member$k: (B_b_prod_b_fun$ * B_b_prod_b_fun_set$) > $o).
% 101.45/73.64  tff(uyl$, type, uyl$: ZF$ > ZF_ZF_bool_fun_fun$).
% 101.45/73.64  tff(uyp$, type, uyp$: (Nat_ZF_set_fun$ * ZF_nat_set_fun$) > ZF_ZF_set_fun$).
% 101.45/73.64  tff(image$f, type, image$f: ZF_ZF_prod_ZF_fun$ > ZF_ZF_prod_set_ZF_set_fun$).
% 101.45/73.64  tff(relImage$, type, relImage$: (ZF_ZF_prod_set$ * ZF_ZF_set_fun$) > ZF_set_ZF_set_prod_set$).
% 101.45/73.64  tff('#skF_54', type, '#skF_54': A_b_b_c_LSCategory_ext_Category_ext$ > B$).
% 101.45/73.64  tff(fun_app$cf, type, fun_app$cf: (ZF_ZF_prod_ZF_ZF_prod_set_fun$ * ZF_ZF_prod$) > ZF_ZF_prod_set$).
% 101.45/73.64  tff(member$g, type, member$g: (B_ZF_fun$ * B_ZF_fun_set$) > $o).
% 101.45/73.64  tff(fun_app$f, type, fun_app$f: (ZF_bool_fun$ * ZF$) > $o).
% 101.45/73.64  tff('#skF_151', type, '#skF_151': (B$ * B_b_fun$ * B_set$) > B$).
% 101.45/73.64  tff(uys$, type, uys$: (ZF_ZF_set_fun$ * Nat_ZF_set_fun$) > Nat_ZF_set_fun$).
% 101.45/73.64  tff(image$ai, type, image$ai: (ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun$ * ZF_ZF_prod_ZF_ZF_prod_prod_set$) > ZF_ZF_prod_set$).
% 101.45/73.64  tff(vas$, type, vas$: (Nat_nat_ZF_set_fun_fun$ * Nat_nat_fun$) > Nat_ZF_set_fun$).
% 101.45/73.64  tff('#skF_67', type, '#skF_67': ZF_ZF_unit_Category_ext$ > ZF$).
% 101.45/73.64  tff(uyt$, type, uyt$: Nat_ZF_set_fun$ > Nat_set_ZF_set_fun$).
% 101.45/73.64  tff('#skF_110', type, '#skF_110': (ZF_ZF_ZF_fun_fun$ * ZF_ZF_prod_ZF_fun$) > ZF$).
% 101.45/73.64  tff(fun_app$ab, type, fun_app$ab: (ZF_nat_ZF_set_fun_fun$ * ZF$) > Nat_ZF_set_fun$).
% 101.45/73.64  tff('#skF_272', type, '#skF_272': (ZF_set$ * B$ * ZF_b_set_fun$) > ZF$).
% 101.45/73.64  tff(collect$j, type, collect$j: ZF_set_bool_fun$ > ZF_set_set$).
% 101.45/73.64  tff(fun_app$ai, type, fun_app$ai: (ZF_ZF_prod_ZF_fun$ * ZF_ZF_prod$) > ZF$).
% 101.45/73.64  tff(rec_set_bool$, type, rec_set_bool$: (ZF$ * ZF$ * tlbool) > ZF_bool_fun$).
% 101.45/73.64  tff('#skF_52', type, '#skF_52': A_b_b_c_LSCategory_ext_Category_ext$ > B$).
% 101.45/73.64  tff('#skF_154', type, '#skF_154': (ZF$ * B_ZF_fun$ * B_set$) > B$).
% 101.45/73.64  tff(fun_app$aa, type, fun_app$aa: (Nat_nat_ZF_set_fun_fun$ * Nat$) > Nat_ZF_set_fun$).
% 101.45/73.64  tff('#skF_242', type, '#skF_242': (ZF$ * ZF_ZF_set_fun$ * ZF_set$) > ZF$).
% 101.45/73.64  tff(category$a, type, category$a: ZF_ZF_unit_Category_ext$ > $o).
% 101.45/73.64  tff(extensional$e, type, extensional$e: B_set$ > B_ZF_fun_set$).
% 101.45/73.64  tff(unitFunctor$, type, unitFunctor$: ZF_ZF_unit_Category_ext$ > ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$).
% 101.45/73.64  tff(fun_app$cs, type, fun_app$cs: (A_b_set_fun$ * A$) > B_set$).
% 101.45/73.64  tff('#skF_143', type, '#skF_143': (ZF_bool_fun$ * ZF_a_fun$ * A_set$) > ZF$).
% 101.45/73.64  tff(uyf$, type, uyf$: (ZF_ZF_set_fun$ * ZF_ZF_set_fun$) > ZF_ZF_ZF_set_ZF_set_prod_fun_fun$).
% 101.45/73.64  tff('#skF_147', type, '#skF_147': (A$ * A_a_fun$ * A_set$) > A$).
% 101.45/73.64  tff(uyy$, type, uyy$: (ZF_nat_ZF_set_fun_fun$ * Nat_set$) > ZF_ZF_set_fun$).
% 101.45/73.64  tff(image$az, type, image$az: (ZF_ZF_ZF_prod_set_fun$ * ZF_set$) > ZF_ZF_prod_set_set$).
% 101.45/73.64  tff(relInvImage$a, type, relInvImage$a: (Nat_set$ * ZF_set_ZF_set_prod_set$ * Nat_ZF_set_fun$) > Nat_nat_prod_set$).
% 101.45/73.64  tff(top$i, type, top$i: Nat_nat_fun_set$).
% 101.45/73.64  tff(image$bb, type, image$bb: (ZF_ZF_set_set_fun$ * ZF_set$) > ZF_set_set_set$).
% 101.45/73.64  tff('#skF_133', type, '#skF_133': (ZF_set_set$ * ZF_set_set$ * ZF_set_bool_fun$ * ZF_set_bool_fun$) > ZF_set$).
% 101.45/73.64  tff('#skF_273', type, '#skF_273': (ZF_set$ * ZF$ * ZF_ZF_set_fun$) > ZF$).
% 101.45/73.64  tff(fun_app$z, type, fun_app$z: (ZF_ZF_fun_ZF_set_fun$ * ZF_ZF_fun$) > ZF_set$).
% 101.45/73.64  tff(unity$, type, unity$: Unit$).
% 101.45/73.64  tff(image$n, type, image$n: (A_ZF_fun$ * A_set$) > ZF_set$).
% 101.45/73.64  tff('#skF_90', type, '#skF_90': ZF_ZF_unit_Category_ext$ > ZF$).
% 101.45/73.64  tff(comp$j, type, comp$j: (ZF_set_ZF_set_fun$ * ZF_set_set_ZF_set_fun$) > ZF_set_set_ZF_set_fun$).
% 101.45/73.64  tff('#skF_38', type, '#skF_38': ZF_ZF_unit_Category_ext$ > ZF_set$).
% 101.45/73.64  tff('#skF_24', type, '#skF_24': (ZF_ZF_fun_ZF_ZF_fun_fun$ * ZF_ZF_fun$ * ZF_ZF_fun_ZF_ZF_fun_fun$ * ZF_ZF_unit_Category_ext$ * ZF_ZF_unit_Category_ext$) > ZF_ZF_fun$).
% 101.45/73.64  tff(uvk$, type, uvk$: (Nat_ZF_set_fun$ * Nat_nat_fun$) > Nat_ZF_set_fun$).
% 101.45/73.64  tff(image$l, type, image$l: B_b_fun$ > B_set_b_set_fun$).
% 101.45/73.64  tff(uvp$, type, uvp$: (A_b_fun$ * A_set$ * B_bool_fun$) > B_bool_fun$).
% 101.45/73.64  tff(vak$, type, vak$: ZF_ZF_ZF_set_fun_fun$ > ZF_ZF_fun_ZF_set_fun$).
% 101.45/73.64  tff(image$bh, type, image$bh: (A_set_a_bool_fun_fun$ * A_set_set$) > A_bool_fun_set$).
% 101.45/73.64  tff(less_eq$c, type, less_eq$c: ZF_set$ > ZF_set_bool_fun$).
% 101.45/73.64  tff('#skF_31', type, '#skF_31': A_b_b_c_LSCategory_ext_Category_ext$ > A_set$).
% 101.45/73.64  tff('#skF_234', type, '#skF_234': (A$ * B_a_set_fun$ * B_set$) > B$).
% 101.45/73.64  tff(sup$f, type, sup$f: Nat_set_set_nat_set_fun$).
% 101.45/73.64  tff(image$bj, type, image$bj: (ZF_set_set_ZF_set_bool_fun_fun$ * ZF_set_set_set$) > ZF_set_bool_fun_set$).
% 101.45/73.64  tff(uun$, type, uun$: ZF_ZF_unit_Category_ext$ > ZF_ZF_ZF_fun_fun$).
% 101.45/73.64  tff(comp$i, type, comp$i: (ZF_set_set_ZF_set_fun$ * ZF_set_set_ZF_set_set_fun$) > ZF_set_set_ZF_set_fun$).
% 101.45/73.64  tff(comp$b, type, comp$b: ZF_ZF_fun$ > ZF_ZF_fun_ZF_ZF_fun_fun$).
% 101.45/73.64  tff('#skF_15', type, '#skF_15': (ZF_set_ZF_fun$ * ZF_set_set$ * ZF$) > ZF_set$).
% 101.45/73.64  tff(gr$, type, gr$: (ZF_set$ * ZF_ZF_set_fun$) > ZF_ZF_set_prod_set$).
% 101.45/73.64  tff(fun_app$ca, type, fun_app$ca: (Nat_ZF_set_ZF_set_prod_fun$ * Nat$) > ZF_set_ZF_set_prod$).
% 101.45/73.64  tff(comp$f, type, comp$f: (ZF_set_ZF_set_set_fun$ * ZF_set_set_ZF_set_fun$) > ZF_set_set_ZF_set_set_fun$).
% 101.45/73.64  tff(set$a, type, set$a: ZF_ZF_unit_Category_ext$).
% 101.45/73.64  tff('#skF_49', type, '#skF_49': A_b_b_c_LSCategory_ext_Category_ext$ > B$).
% 101.45/73.64  tff(fun_app$af, type, fun_app$af: (Nat_set_ZF_set_fun$ * Nat_set$) > ZF_set$).
% 101.45/73.64  tff(uyh$, type, uyh$: (ZF_ZF_fun$ * ZF_set$) > ZF_ZF_set_fun$).
% 101.45/73.64  tff('#skF_176', type, '#skF_176': (A$ * A_a_set_fun$ * A_set$) > A$).
% 101.45/73.64  tff(less_eq$g, type, less_eq$g: (ZF_ZF_prod_ZF_prod_set$ * ZF_ZF_prod_ZF_prod_set$) > $o).
% 101.45/73.64  tff(image$bd, type, image$bd: (ZF_nat_prod_ZF_ZF_prod_set_fun$ * ZF_nat_prod_set$) > ZF_ZF_prod_set_set$).
% 101.45/73.64  tff('#skF_201', type, '#skF_201': (A_set$ * A_set$ * A_ZF_set_fun$ * A_ZF_set_fun$) > A$).
% 101.45/73.64  tff(member$i, type, member$i: (A_b_fun$ * A_b_fun_set$) > $o).
% 101.45/73.64  tff('#skF_270', type, '#skF_270': (B_set$ * ZF$ * B_ZF_set_fun$) > B$).
% 101.45/73.64  tff(uyz$, type, uyz$: ZF_nat_ZF_set_fun_fun$ > Nat_ZF_ZF_set_fun_fun$).
% 101.45/73.64  tff(explode$, type, explode$: ZF_ZF_set_fun$).
% 101.45/73.64  tff(mor$, type, mor$: A_b_b_c_LSCategory_ext_Category_ext$ > B_set$).
% 101.45/73.64  tff(fun_app$k, type, fun_app$k: (B_bool_fun$ * B$) > $o).
% 101.45/73.64  tff(case_prod$l, type, case_prod$l: ZF_ZF_ZF_set_ZF_set_prod_fun_fun$ > ZF_ZF_prod_ZF_set_ZF_set_prod_fun$).
% 101.45/73.64  tff(vab$, type, vab$: ZF_ZF_set_fun$ > ZF_ZF_bool_fun_fun$).
% 101.45/73.64  tff('#skF_247', type, '#skF_247': (ZF_set_set$ * ZF_set_set$ * ZF_set_ZF_set_fun$ * ZF_set_ZF_set_fun$) > ZF_set$).
% 101.45/73.64  tff(dom_update$a, type, dom_update$a: (ZF_ZF_fun_ZF_ZF_fun_fun$ * ZF_ZF_unit_Category_ext$) > ZF_ZF_unit_Category_ext$).
% 101.45/73.64  tff(collect$h, type, collect$h: A_bool_fun$ > A_set$).
% 101.45/73.64  tff('#skF_145', type, '#skF_145': (ZF_bool_fun$ * ZF_ZF_fun$ * ZF_set$) > ZF$).
% 101.45/73.64  tff('#skF_10', type, '#skF_10': (A_b_b_c_LSCategory_ext_Category_ext$ * B_b_prod$) > B$).
% 101.45/73.64  tff('#skF_112', type, '#skF_112': (ZF_bool_fun$ * ZF_ZF_ZF_fun_fun$ * ZF_ZF_prod$) > ZF$).
% 101.45/73.64  tff(uya$, type, uya$: ZF_ZF_prod_set$ > Nat_ZF_ZF_prod_set_fun$).
% 101.45/73.64  tff(sup$e, type, sup$e: ZF_set_set_set_ZF_set_set_fun$).
% 101.45/73.64  tff(member$a, type, member$a: ZF_set$ > ZF_set_set_bool_fun$).
% 101.45/73.64  tff('#skF_170', type, '#skF_170': (A$ * Nat_a_fun$) > Nat$).
% 101.45/73.64  tff(less_eq$i, type, less_eq$i: (Nat_set$ * Nat_set$) > $o).
% 101.45/73.64  tff(uvd$, type, uvd$: (ZF_ZF_fun$ * ZF_ZF_prod_ZF_fun$) > ZF_ZF_prod_ZF_fun$).
% 101.45/73.64  tff(constFunctor$e, type, constFunctor$e: (ZF_ZF_unit_Category_ext$ * ZF_ZF_unit_Category_ext$ * ZF$) > ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$).
% 101.45/73.64  tff(image$bq, type, image$bq: (Nat_nat_fun_ZF_set_fun$ * Nat_nat_fun_set$) > ZF_set_set$).
% 101.45/73.64  tff(uud$, type, uud$: A_b_b_c_LSCategory_ext_Category_ext$ > B_b_b_fun_fun$).
% 101.45/73.64  tff(the$a, type, the$a: B_bool_fun$ > B$).
% 101.45/73.64  tff(uyc$, type, uyc$: Nat_set$ > Nat_nat_set_fun$).
% 101.45/73.64  tff(mapsTo$, type, mapsTo$: (A_b_b_c_LSCategory_ext_Category_ext$ * B$ * A$) > A_bool_fun$).
% 101.45/73.64  tff('#skF_99', type, '#skF_99': ZF_ZF_unit_Category_ext$ > ZF$).
% 101.45/73.64  tff(uwe$, type, uwe$: (ZF_set_a_fun$ * ZF_set_set$ * A_bool_fun$) > ZF_set_bool_fun$).
% 101.45/73.64  tff(uvv$, type, uvv$: (ZF_b_fun$ * ZF_set$ * B_bool_fun$) > B_bool_fun$).
% 101.45/73.64  tff(rec_set_unit$, type, rec_set_unit$: (ZF$ * Unit$) > ZF_bool_fun$).
% 101.45/73.64  tff(image$g, type, image$g: ZF_ZF_fun$ > ZF_set_ZF_set_fun$).
% 101.45/73.64  tff(uyr$, type, uyr$: (ZF_ZF_set_fun$ * ZF_ZF_set_fun$) > ZF_ZF_set_fun$).
% 101.45/73.64  tff('#skF_51', type, '#skF_51': A_b_b_c_LSCategory_ext_Category_ext$ > B$).
% 101.45/73.64  tff('#skF_161', type, '#skF_161': A_b_b_c_LSCategory_ext_Category_ext$ > B$).
% 101.45/73.64  tff(vay$, type, vay$: Nat_ZF_ZF_set_fun_fun$ > ZF_ZF_set_fun$).
% 101.45/73.64  tff('#skF_149', type, '#skF_149': (A$ * ZF_a_fun$ * ZF_set$) > ZF$).
% 101.45/73.64  tff(fun_app$aj, type, fun_app$aj: (Nat_ZF_fun$ * Nat$) > ZF$).
% 101.45/73.64  tff('#skF_193', type, '#skF_193': (ZF_set$ * ZF_ZF_set_fun$ * ZF_set$) > ZF_set$).
% 101.45/73.64  tff('#skF_160', type, '#skF_160': A_b_b_c_LSCategory_ext_Category_ext$ > A$).
% 101.45/73.64  
% 101.45/73.64  tff(f_835, axiom, lSCategory$(c$), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom186)).
% 101.45/73.64  tff(f_2056, axiom, (![A__questionmark_v0:A_b_b_c_LSCategory_ext_Category_ext$]: (lSCategory$(A__questionmark_v0) <=> (category$(A__questionmark_v0) & lSCategory_axioms$(A__questionmark_v0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom343)).
% 101.45/73.64  tff(f_837, axiom, fun_app$m(member$b(f$), mor$(c$)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom187)).
% 101.45/73.64  tff(f_960, axiom, (![A__questionmark_v0:A_b_b_c_LSCategory_ext_Category_ext$, A__questionmark_v1:B$]: ((category$(A__questionmark_v0) & fun_app$m(member$b(A__questionmark_v1), mor$(A__questionmark_v0))) => fun_app$p(member$c(fun_app$bk(dom$(A__questionmark_v0), A__questionmark_v1)), obj$(A__questionmark_v0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom203)).
% 101.45/73.64  tff(f_833, negated_conjecture, ~fun_app$p(member$c(fun_app$bk(dom$(c$), f$)), obj$(c$)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conjecture185)).
% 101.45/73.64  tff(c_595, plain, (lSCategory$(c$)), inference(cnfTransformation, [status(thm)], [f_835])).
% 101.45/73.64  tff(c_6128, plain, (![A__questionmark_v0_2828:A_b_b_c_LSCategory_ext_Category_ext$]: (category$(A__questionmark_v0_2828) | ~lSCategory$(A__questionmark_v0_2828))), inference(cnfTransformation, [status(thm)], [f_2056])).
% 101.45/73.64  tff(c_6132, plain, (category$(c$)), inference(resolution, [status(thm)], [c_595, c_6128])).
% 101.45/73.64  tff(c_597, plain, (fun_app$m(member$b(f$), mor$(c$))), inference(cnfTransformation, [status(thm)], [f_837])).
% 101.45/73.64  tff(c_81422, plain, (![A__questionmark_v0_16236:A_b_b_c_LSCategory_ext_Category_ext$, A__questionmark_v1_16237:B$]: (fun_app$p(member$c(fun_app$bk(dom$(A__questionmark_v0_16236), A__questionmark_v1_16237)), obj$(A__questionmark_v0_16236)) | ~fun_app$m(member$b(A__questionmark_v1_16237), mor$(A__questionmark_v0_16236)) | ~category$(A__questionmark_v0_16236))), inference(cnfTransformation, [status(thm)], [f_960])).
% 101.45/73.64  tff(c_593, plain, (~fun_app$p(member$c(fun_app$bk(dom$(c$), f$)), obj$(c$))), inference(cnfTransformation, [status(thm)], [f_833])).
% 101.45/73.64  tff(c_81455, plain, (~fun_app$m(member$b(f$), mor$(c$)) | ~category$(c$)), inference(resolution, [status(thm)], [c_81422, c_593])).
% 101.45/73.64  tff(c_81492, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_6132, c_597, c_81455])).
% 101.45/73.64  % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 101.45/73.64  
% 101.45/73.64  Inference rules
% 101.45/73.64  ----------------------
% 101.45/73.64  #Ref     : 1
% 101.45/73.64  #Sup     : 20415
% 101.45/73.64  #Fact    : 1
% 101.45/73.64  #Define  : 0
% 101.45/73.64  #Split   : 5
% 101.45/73.64  #Chain   : 0
% 101.45/73.64  #Close   : 0
% 101.45/73.64  
% 101.45/73.64  Ordering : KBO
% 101.45/73.64  
% 101.45/73.64  Simplification rules
% 101.45/73.64  ----------------------
% 101.45/73.64  #Subsume      : 436
% 101.45/73.64  #Demod        : 8067
% 101.45/73.64  #Tautology    : 4862
% 101.45/73.64  #SimpNegUnit  : 5
% 101.45/73.64  #BackRed      : 195
% 101.45/73.64  
% 101.45/73.64  #Partial instantiations: 2185
% 101.45/73.64  #Strategies tried      : 1
% 101.45/73.64  
% 101.45/73.64  Timing (in seconds)
% 101.45/73.64  ----------------------
% 101.50/73.64  Preprocessing        : 4.65
% 101.50/73.64  Parsing              : 1.50
% 101.50/73.64  CNF conversion       : 0.28
% 101.50/73.64  Main loop            : 67.80
% 101.50/73.65  Inferencing          : 8.74
% 101.50/73.65  Reduction            : 39.69
% 101.50/73.65  Demodulation         : 33.60
% 101.50/73.65  BG Simplification    : 0.55
% 101.50/73.65  Subsumption          : 14.02
% 101.50/73.65  Abstraction          : 0.56
% 101.50/73.65  MUC search           : 0.00
% 101.50/73.65  Cooper               : 0.00
% 101.50/73.65  Total                : 72.51
% 101.50/73.65  Index Insertion      : 0.00
% 101.50/73.65  Index Deletion       : 0.00
% 101.50/73.65  Index Matching       : 0.00
% 101.50/73.65  BG Taut test         : 0.00
%------------------------------------------------------------------------------