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

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

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

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

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

Printing for OpenTheory is not working at the moment.