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fof(axCountriesLem0, axiom,
( ! [Var_STATE] :
(hasType(type_AmericanState, Var_STATE) =>
(f_part(Var_STATE,inst_UnitedStates))))).
fof(axCountriesLem1, axiom,
( ! [Var_CITY] :
(hasType(type_AmericanCity, Var_CITY) =>
(f_part(Var_CITY,inst_UnitedStates))))).
fof(axCountriesLem2, axiom,
( ! [Var_CITY] :
(hasType(type_EuropeanCity, Var_CITY) =>
(f_part(Var_CITY,inst_Europe))))).
fof(axCountriesLem3, axiom,
( ! [Var_CITY] :
(hasType(type_City, Var_CITY) =>
(((f_part(Var_CITY,inst_France)) => (f_lessThanOrEqualTo(f_CardinalityFn(f_ResidentFn(Var_CITY)),f_CardinalityFn(f_ResidentFn(inst_Paris))))))))).
fof(axCountriesLem4, axiom,
( ! [Var_CITY] :
(hasType(type_AmericanCity, Var_CITY) =>
(((((f_part(Var_CITY,inst_California)) & (Var_CITY != inst_LosAngelesCalifornia))) => (f_greaterThan(f_CardinalityFn(f_ResidentFn(inst_LosAngelesCalifornia)),f_CardinalityFn(f_ResidentFn(Var_CITY))))))))).
fof(axCountriesLem5, axiom,
( ! [Var_STATE] :
(hasType(type_AmericanState, Var_STATE) =>
(((Var_STATE != inst_California) => (f_greaterThan(f_CardinalityFn(f_ResidentFn(inst_California)),f_CardinalityFn(f_ResidentFn(Var_STATE))))))))).
fof(axCountriesLem6, axiom,
( ! [Var_CITY] :
(hasType(type_AmericanCity, Var_CITY) =>
(f_lessThanOrEqualTo(f_CardinalityFn(f_ResidentFn(Var_CITY)),f_CardinalityFn(f_ResidentFn(inst_NewYorkCityUnitedStates))))))).
fof(axCountriesLem7, axiom,
( ! [Var_UNIT] :
(hasType(type_AreaMeasure, Var_UNIT) =>
(( ! [Var_NUMBER1] :
(hasType(type_Entity, Var_NUMBER1) =>
(( ! [Var_STATE] :
(hasType(type_AmericanState, Var_STATE) =>
(( ! [Var_NUMBER2] :
(hasType(type_Entity, Var_NUMBER2) =>
(((((f_measure(inst_Alaska,f_MeasureFn(Var_NUMBER1,Var_UNIT))) & (((f_measure(Var_STATE,f_MeasureFn(Var_NUMBER2,Var_UNIT))) & (inst_Alaska != Var_STATE))))) => (f_lessThan(Var_NUMBER2,Var_NUMBER1)))))))))))))))).
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