fof(arityeq2_2Ec_2Ebool_2E_2F_5C_2E2,axiom,![X0_2E0, X1_2E0]: ((p(s(tyop_2Emin_2Ebool,X0_2E0)) & p(s(tyop_2Emin_2Ebool,X1_2E0))) <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))))).
fof(arityeq2_2Ec_2Ebool_2E_5C_2F_2E2,axiom,![X0_2E0, X1_2E0]: ((p(s(tyop_2Emin_2Ebool,X0_2E0)) | p(s(tyop_2Emin_2Ebool,X1_2E0))) <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))))).
fof(arityeq1_2Ec_2Ebool_2E_7E_2E1,axiom,![X0_2E0]: (~ (p(s(tyop_2Emin_2Ebool,X0_2E0))) <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0)))))).
fof(arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2,axiom,![X0_2E0, X1_2E0]: ((p(s(tyop_2Emin_2Ebool,X0_2E0)) => p(s(tyop_2Emin_2Ebool,X1_2E0))) <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))))).
fof(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,![A_27a]: ![X0_2E0, X1_2E0]: ((s(A_27a,X0_2E0) = s(A_27a,X1_2E0)) <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))))).
fof(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,![A_27a]: ![X0_2E0]: (s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))))).
fof(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,![A_27a]: ![X0_2E0]: (s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))))).
fof(arityeq1_2Ec_2Epred__set_2EFINITE_2E1_2Emono_2EA_27b,axiom,![A_27b]: ![X0_2E0]: (s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Epred__set_2EFINITE_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X0_2E0))))).
fof(arityeq1_2Ec_2Epred__set_2EFINITE_2E1_2Emono_2EA_27c,axiom,![A_27c]: ![X0_2E0]: (s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Epred__set_2EFINITE_2E0),s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),X0_2E0))))).
fof(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efcp_2Ecart_28A_27a_2CA_27b_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efcp_2Ecart_28A_27a_2CA_27b_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efcp_2Ecart_28A_27a_2CA_27b_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,![A_27a, A_27b]: ![X0_2E0, X1_2E0]: (s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),c_2Epair_2E_2C_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),X1_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))))),c_2Epair_2E_2C_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),X1_2E0))))).
fof(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efcp_2Ecart_28A_27a_2CA_27b_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efcp_2Ecart_28A_27a_2CA_27b_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29,axiom,![A_27a, A_27b]: ![X0_2E0, X1_2E0]: (s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),c_2Epair_2E_2C_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),X1_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)))),c_2Epair_2E_2C_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),X1_2E0))))).
fof(arityeq1_2Ec_2Emeasure_2Emeasure__space_2E1_2Emono_2Etyop_2Efcp_2Ecart_28A_27a_2CA_27b_29,axiom,![A_27a, A_27b]: ![X0_2E0]: (s(tyop_2Emin_2Ebool,c_2Emeasure_2Emeasure__space_2E1(s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),tyop_2Emin_2Ebool),c_2Emeasure_2Emeasure__space_2E0),s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),X0_2E0))))).
fof(arityeq1_2Ec_2Esigma__algebra_2Esubsets_2E1_2Emono_2Etyop_2Efcp_2Ecart_28A_27a_2CA_27b_29,axiom,![A_27a, A_27b]: ![X0_2E0]: (s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Esigma__algebra_2Esubsets_2E1(s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Esigma__algebra_2Esubsets_2E0),s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),X0_2E0))))).
fof(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efcp_2Ecart_28A_27a_2CA_27c_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efcp_2Ecart_28A_27a_2CA_27c_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efcp_2Ecart_28A_27a_2CA_27c_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,![A_27a, A_27c]: ![X0_2E0, X1_2E0]: (s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),c_2Epair_2E_2C_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),X1_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))))),c_2Epair_2E_2C_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),X1_2E0))))).
fof(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efcp_2Ecart_28A_27a_2CA_27c_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efcp_2Ecart_28A_27a_2CA_27c_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29,axiom,![A_27a, A_27c]: ![X0_2E0, X1_2E0]: (s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),c_2Epair_2E_2C_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),X1_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)))),c_2Epair_2E_2C_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),X1_2E0))))).
fof(arityeq1_2Ec_2Emeasure_2Emeasure__space_2E1_2Emono_2Etyop_2Efcp_2Ecart_28A_27a_2CA_27c_29,axiom,![A_27a, A_27c]: ![X0_2E0]: (s(tyop_2Emin_2Ebool,c_2Emeasure_2Emeasure__space_2E1(s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),tyop_2Emin_2Ebool),c_2Emeasure_2Emeasure__space_2E0),s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),X0_2E0))))).
fof(arityeq1_2Ec_2Esigma__algebra_2Esubsets_2E1_2Emono_2Etyop_2Efcp_2Ecart_28A_27a_2CA_27c_29,axiom,![A_27a, A_27c]: ![X0_2E0]: (s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Esigma__algebra_2Esubsets_2E1(s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Esigma__algebra_2Esubsets_2E0),s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),X0_2E0))))).
fof(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efcp_2Ecart_28A_27a_2Ctyop_2Esum_2Esum_28A_27b_2CA_27c_29_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efcp_2Ecart_28A_27a_2Ctyop_2Esum_2Esum_28A_27b_2CA_27c_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efcp_2Ecart_28A_27a_2Ctyop_2Esum_2Esum_28A_27b_2CA_27c_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,![A_27a, A_27b, A_27c]: ![X0_2E0, X1_2E0]: (s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),c_2Epair_2E_2C_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),X1_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))))),c_2Epair_2E_2C_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),X1_2E0))))).
fof(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efcp_2Ecart_28A_27a_2Ctyop_2Esum_2Esum_28A_27b_2CA_27c_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efcp_2Ecart_28A_27a_2Ctyop_2Esum_2Esum_28A_27b_2CA_27c_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29,axiom,![A_27a, A_27b, A_27c]: ![X0_2E0, X1_2E0]: (s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),c_2Epair_2E_2C_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),X1_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)))),c_2Epair_2E_2C_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),X1_2E0))))).
fof(arityeq2_2Ec_2Eutil__prob_2Efcp__cross_2E2_2Emono_2EA_27a_20mono_2EA_27b_20mono_2EA_27c,axiom,![A_27a, A_27b, A_27c]: ![X0_2E0, X1_2E0]: (s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),c_2Eutil__prob_2Efcp__cross_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool))),c_2Eutil__prob_2Efcp__cross_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),X1_2E0))))).
fof(arityeq2_2Ec_2Emartingale_2Efcp__sigma_2E2_2Emono_2EA_27a_20mono_2EA_27b_20mono_2EA_27c,axiom,![A_27a, A_27b, A_27c]: ![X0_2E0, X1_2E0]: (s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Emartingale_2Efcp__sigma_2E2(s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),X0_2E0),s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),X1_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)))),c_2Emartingale_2Efcp__sigma_2E0),s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),X0_2E0))),s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),X1_2E0))))).
fof(arityeq1_2Ec_2Emeasure_2Emeasure__space_2E1_2Emono_2Etyop_2Efcp_2Ecart_28A_27a_2Ctyop_2Esum_2Esum_28A_27b_2CA_27c_29_29,axiom,![A_27a, A_27b, A_27c]: ![X0_2E0]: (s(tyop_2Emin_2Ebool,c_2Emeasure_2Emeasure__space_2E1(s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),tyop_2Emin_2Ebool),c_2Emeasure_2Emeasure__space_2E0),s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),X0_2E0))))).
fof(arityeq1_2Ec_2Esigma__algebra_2Esubsets_2E1_2Emono_2Etyop_2Efcp_2Ecart_28A_27a_2Ctyop_2Esum_2Esum_28A_27b_2CA_27c_29_29,axiom,![A_27a, A_27b, A_27c]: ![X0_2E0]: (s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Esigma__algebra_2Esubsets_2E1(s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Esigma__algebra_2Esubsets_2E0),s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),X0_2E0))))).
fof(arityeq1_2Ec_2Emeasure_2Esigma__finite_2E1_2Emono_2Etyop_2Efcp_2Ecart_28A_27a_2CA_27b_29,axiom,![A_27a, A_27b]: ![X0_2E0]: (s(tyop_2Emin_2Ebool,c_2Emeasure_2Esigma__finite_2E1(s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),tyop_2Emin_2Ebool),c_2Emeasure_2Esigma__finite_2E0),s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),X0_2E0))))).
fof(arityeq1_2Ec_2Emeasure_2Esigma__finite_2E1_2Emono_2Etyop_2Efcp_2Ecart_28A_27a_2CA_27c_29,axiom,![A_27a, A_27c]: ![X0_2E0]: (s(tyop_2Emin_2Ebool,c_2Emeasure_2Esigma__finite_2E1(s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),tyop_2Emin_2Ebool),c_2Emeasure_2Esigma__finite_2E0),s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),X0_2E0))))).
fof(arityeq2_2Ec_2Ebool_2EIN_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efcp_2Ecart_28A_27a_2CA_27b_29_2Ctyop_2Emin_2Ebool_29,axiom,![A_27a, A_27b]: ![X0_2E0, X1_2E0]: (s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2EIN_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1_2E0))))).
fof(arityeq2_2Ec_2Epred__set_2EINTER_2E2_2Emono_2Etyop_2Efcp_2Ecart_28A_27a_2CA_27b_29,axiom,![A_27a, A_27b]: ![X0_2E0, X1_2E0]: (s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),c_2Epred__set_2EINTER_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool))),c_2Epred__set_2EINTER_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),X1_2E0))))).
fof(arityeq2_2Ec_2Ebool_2EIN_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efcp_2Ecart_28A_27a_2CA_27c_29_2Ctyop_2Emin_2Ebool_29,axiom,![A_27a, A_27c]: ![X0_2E0, X1_2E0]: (s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2EIN_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1_2E0))))).
fof(arityeq2_2Ec_2Epred__set_2EINTER_2E2_2Emono_2Etyop_2Efcp_2Ecart_28A_27a_2CA_27c_29,axiom,![A_27a, A_27c]: ![X0_2E0, X1_2E0]: (s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),c_2Epred__set_2EINTER_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool))),c_2Epred__set_2EINTER_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),X1_2E0))))).
fof(arityeq2_2Ec_2Ebool_2EIN_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efcp_2Ecart_28A_27a_2Ctyop_2Esum_2Esum_28A_27b_2CA_27c_29_29_2Ctyop_2Emin_2Ebool_29,axiom,![A_27a, A_27b, A_27c]: ![X0_2E0, X1_2E0]: (s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2EIN_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1_2E0))))).
fof(arityeq2_2Ec_2Eextreal_2Eextreal__mul_2E2,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__mul_2E2(s(tyop_2Eextreal_2Eextreal,X0_2E0),s(tyop_2Eextreal_2Eextreal,X1_2E0))) = s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),c_2Eextreal_2Eextreal__mul_2E0),s(tyop_2Eextreal_2Eextreal,X0_2E0))),s(tyop_2Eextreal_2Eextreal,X1_2E0))))).
fof(arityeq2_2Ec_2Esigma__algebra_2Esigma_2E2_2Emono_2Etyop_2Efcp_2Ecart_28A_27a_2CA_27b_29,axiom,![A_27a, A_27b]: ![X0_2E0, X1_2E0]: (s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Esigma__algebra_2Esigma_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)))),c_2Esigma__algebra_2Esigma_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1_2E0))))).
fof(arityeq2_2Ec_2Esigma__algebra_2Esigma_2E2_2Emono_2Etyop_2Efcp_2Ecart_28A_27a_2CA_27c_29,axiom,![A_27a, A_27c]: ![X0_2E0, X1_2E0]: (s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Esigma__algebra_2Esigma_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)))),c_2Esigma__algebra_2Esigma_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1_2E0))))).
fof(arityeq2_2Ec_2Esigma__algebra_2Esubset__class_2E2_2Emono_2Etyop_2Efcp_2Ecart_28A_27a_2CA_27b_29,axiom,![A_27a, A_27b]: ![X0_2E0, X1_2E0]: (s(tyop_2Emin_2Ebool,c_2Esigma__algebra_2Esubset__class_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Esigma__algebra_2Esubset__class_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1_2E0))))).
fof(arityeq2_2Ec_2Esigma__algebra_2Esubset__class_2E2_2Emono_2Etyop_2Efcp_2Ecart_28A_27a_2CA_27c_29,axiom,![A_27a, A_27c]: ![X0_2E0, X1_2E0]: (s(tyop_2Emin_2Ebool,c_2Esigma__algebra_2Esubset__class_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Esigma__algebra_2Esubset__class_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1_2E0))))).
fof(martingaleTheory_2Euniqueness__of__prod__measure,axiom,![A_27a, A_27b, A_27c]: ![V0X_2E0, V1Y_2E0, V2E_2E0, V3G_2E0, V4A_2E0, V5B_2E0, V6u_2E0, V7v_2E0, V8m_2E0, V9m_27_2E0]: ((p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))) & (p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))) & (p(s(tyop_2Emin_2Ebool,c_2Esigma__algebra_2Esubset__class_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),V0X_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),V2E_2E0)))) & (p(s(tyop_2Emin_2Ebool,c_2Esigma__algebra_2Esubset__class_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),V1Y_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),V3G_2E0)))) & (p(s(tyop_2Emin_2Ebool,c_2Emeasure_2Esigma__finite_2E1(s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),c_2Epair_2E_2C_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),V0X_2E0),s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),c_2Epair_2E_2C_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),V2E_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),V6u_2E0)))))))) & (p(s(tyop_2Emin_2Ebool,c_2Emeasure_2Esigma__finite_2E1(s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),c_2Epair_2E_2C_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),V1Y_2E0),s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),c_2Epair_2E_2C_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),V3G_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),V7v_2E0)))))))) & (![V10s_2E0, V11t_2E0]: ((p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),V10s_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),V2E_2E0)))) & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),V11t_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),V2E_2E0))))) => p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),c_2Epred__set_2EINTER_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),V10s_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),V11t_2E0))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),V2E_2E0))))) & (![V12s_2E0, V13t_2E0]: ((p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),V12s_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),V3G_2E0)))) & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),V13t_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),V3G_2E0))))) => p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),c_2Epred__set_2EINTER_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),V12s_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),V13t_2E0))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),V3G_2E0))))) & ((s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),V4A_2E0) = s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Esigma__algebra_2Esigma_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),V0X_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),V2E_2E0)))) & ((s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),V5B_2E0) = s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Esigma__algebra_2Esigma_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),V1Y_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),V3G_2E0)))) & (p(s(tyop_2Emin_2Ebool,c_2Emeasure_2Emeasure__space_2E1(s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),c_2Epair_2E_2C_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),V0X_2E0),s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),c_2Epair_2E_2C_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Esigma__algebra_2Esubsets_2E1(s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),V4A_2E0))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),V6u_2E0)))))))) & (p(s(tyop_2Emin_2Ebool,c_2Emeasure_2Emeasure__space_2E1(s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),c_2Epair_2E_2C_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),V1Y_2E0),s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),c_2Epair_2E_2C_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Esigma__algebra_2Esubsets_2E1(s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),V5B_2E0))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),V7v_2E0)))))))) & (p(s(tyop_2Emin_2Ebool,c_2Emeasure_2Emeasure__space_2E1(s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),c_2Epair_2E_2C_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),c_2Eutil__prob_2Efcp__cross_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),V0X_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),V1Y_2E0))),s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),c_2Epair_2E_2C_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Esigma__algebra_2Esubsets_2E1(s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Emartingale_2Efcp__sigma_2E2(s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),V4A_2E0),s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),V5B_2E0))))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),V8m_2E0)))))))) & (p(s(tyop_2Emin_2Ebool,c_2Emeasure_2Emeasure__space_2E1(s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal))),c_2Epair_2E_2C_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),c_2Eutil__prob_2Efcp__cross_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),V0X_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),V1Y_2E0))),s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),c_2Epair_2E_2C_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Esigma__algebra_2Esubsets_2E1(s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Emartingale_2Efcp__sigma_2E2(s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),V4A_2E0),s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),V5B_2E0))))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),V9m_27_2E0)))))))) & (![V14s_2E0, V15t_2E0]: ((p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),V14s_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),V2E_2E0)))) & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),V15t_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),V3G_2E0))))) => (s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),V8m_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),c_2Eutil__prob_2Efcp__cross_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),V14s_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),V15t_2E0))))) = s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__mul_2E2(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),V6u_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),V14s_2E0))),s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),V7v_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),V15t_2E0))))))) & ![V16s_2E0, V17t_2E0]: ((p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),V16s_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),V2E_2E0)))) & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),V17t_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),V3G_2E0))))) => (s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),V9m_27_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),c_2Eutil__prob_2Efcp__cross_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),V16s_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),V17t_2E0))))) = s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__mul_2E2(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),V6u_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),V16s_2E0))),s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),V7v_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),V17t_2E0)))))))))))))))))))))) => ![V18x_2E0]: (p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),V18x_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Esigma__algebra_2Esubsets_2E1(s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Emartingale_2Efcp__sigma_2E2(s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),V4A_2E0),s(tyop_2Epair_2Eprod(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,A_27c),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),V5B_2E0)))))))) => (s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),V8m_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),V18x_2E0))) = s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),V9m_27_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(A_27a,tyop_2Esum_2Esum(A_27b,A_27c)),tyop_2Emin_2Ebool),V18x_2E0))))))).
