diff --git a/theories/tactics.v b/theories/tactics.v index 55d308f5019d8a857d1bdd03615c03a31c9548b6..bcdc20f901b07db0fade3db99db23ccc128264f9 100644 --- a/theories/tactics.v +++ b/theories/tactics.v @@ -304,18 +304,18 @@ Ltac f_equiv := | |- (?R _) (?f _ _ _ _) _ => simple apply (_ : Proper (R _ ==> R _ ==> R _ ==> R _ ==> _) f) | |- (?R _ _) (?f _ _ _ _) _ => simple apply (_ : Proper (R _ _ ==> R _ _ ==> R _ _ ==> R _ _ ==> _) f) | |- (?R _ _ _) (?f _ _ _ _) _ => simple apply (_ : Proper (R _ _ _ ==> R _ _ _ R _ _ _ ==> R _ _ _ ==> _) f) - (* Next, try to infer the relation. Unfortunately, there is an instance - of Proper for (eq ==> _), which will always be matched. *) + (* Next, try to infer the relation. Unfortunately, very often, it will turn + the goal into a Leibniz equality so we get stuck. *) (* TODO: Can we exclude that instance? *) - (* TODO: If some of the arguments are the same, we could also - query for "pointwise_relation"'s. But that leads to a combinatorial - explosion about which arguments are and which are not the same. *) | |- ?R (?f _) _ => simple apply (_ : Proper (_ ==> R) f) | |- ?R (?f _ _) _ => simple apply (_ : Proper (_ ==> _ ==> R) f) | |- ?R (?f _ _ _) _ => simple apply (_ : Proper (_ ==> _ ==> _ ==> R) f) | |- ?R (?f _ _ _ _) _ => simple apply (_ : Proper (_ ==> _ ==> _ ==> _ ==> R) f) - (* In case the function symbol differs, but the arguments are the same, - maybe we have a pointwise_relation in our context. *) + (* In case the function symbol differs, but the arguments are the same, + maybe we have a pointwise_relation in our context. *) + (* TODO: If only some of the arguments are the same, we could also + query for "pointwise_relation"'s. But that leads to a combinatorial + explosion about which arguments are and which are not the same. *) | H : pointwise_relation _ ?R ?f ?g |- ?R (?f ?x) (?g ?x) => simple apply H end; try simple apply reflexivity.