// This prints the left floatting menu
Dedukti    Load Matita      Load Coq         Load Lean        Load PVS         Load OpenTheory Load
Dedukti-jumb

Theorem

bool.eq_match_bool_type_true

Statement

∀ case_true case_false, leibniz (if true then case_true else case_false) case_true

Main Dependencies
Theory

Coq-Jumb
Statement

Theorem eq_match_bool_type_true : forall return_, forall (case_true:return_), forall (case_false:return_), leibniz.leibniz (return_) (match_bool_type (return_) case_true case_false true) case_true.



Matita-Jumb
Statement

theorem eq_match_bool_type_true : \forall return_. \forall (case_true:return_). \forall (case_false:return_). (leibniz) (return_) ((match_bool_type) (return_) case_true case_false (true) ) case_true.



Lean-jumb
Statement

theorem eq_match_bool_type_true : forall (return : Type) , forall (case_true:return) , forall (case_false:return) , (((leibniz.leibniz) (return)) (((((bool.match_bool_type) (return)) (case_true)) (case_false)) ((bool.true) ))) (case_true).



PVS-jumb

Statement

eq_match_bool_type_true [return:TYPE+] : LEMMA (FORALL(case_true:return):(FORALL(case_false:return):leibniz_sttfa_th.leibniz[return](bool_sttfa.match_bool_type[return](case_true)(case_false)(bool_sttfa.sttfa_true))(case_true)))



OpenTheory

Printing for OpenTheory is not working at the moment.