diff --git a/FiniteSets/kuratowski/length.v b/FiniteSets/kuratowski/length.v index 72ab83b..72ff94a 100644 --- a/FiniteSets/kuratowski/length.v +++ b/FiniteSets/kuratowski/length.v @@ -1,8 +1,8 @@ -Require Import HoTT HitTactics. +Require Import HoTT HitTactics prelude. Require Import kuratowski.operations kuratowski.properties kuratowski.kuratowski_sets. Section Length. - Context {A : Type} `{DecidablePaths A} `{Univalence}. + Context {A : Type} `{MerelyDecidablePaths A} `{Univalence}. Definition length : FSet A -> nat. simple refine (FSet_cons_rec _ _ _ _ _ _). @@ -16,11 +16,15 @@ Section Length. - intros X a b n. simpl. simplify_isIn_d. - destruct (dec (a = b)) as [Hab | Hab]. - + rewrite Hab. simplify_isIn_d. reflexivity. + destruct (m_dec_path a b) as [Hab | Hab]. +(* destruct (dec (Trunc (-1) (a = b))) as [Hab | Hab]. *) + + strip_truncations. + rewrite Hab. simplify_isIn_d. reflexivity. + rewrite ?singleton_isIn_d_false; auto. ++ simpl. destruct (a ∈_d X), (b ∈_d X) ; reflexivity. - ++ intro p. contradiction (Hab p^). + ++ intro p. contradiction (Hab (tr p^)). + ++ intros p. + apply (Hab (tr p)). Defined. End Length. \ No newline at end of file