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-rw-r--r--theories/Program/Subset.v4
1 files changed, 3 insertions, 1 deletions
diff --git a/theories/Program/Subset.v b/theories/Program/Subset.v
index b6fc156c39..8ce84c8271 100644
--- a/theories/Program/Subset.v
+++ b/theories/Program/Subset.v
@@ -9,6 +9,8 @@
Require Import Coq.Program.Utils.
Require Import Coq.Program.Equality.
+Open Local Scope subset_scope.
+
(** Tactics related to subsets and proof irrelevance. *)
(** Simplify dependent equality using sigmas to equality of the codomains if possible. *)
@@ -72,7 +74,7 @@ Ltac clear_subset_proofs :=
Ltac pi := repeat progress f_equal ; apply proof_irrelevance.
-Lemma subset_eq : forall A (P : A -> Prop) (n m : sig P), n = m <-> (`n) = (`m).
+Lemma subset_eq : forall A (P : A -> Prop) (n m : sig P), n = m <-> `n = `m.
Proof.
induction n.
induction m.