proposition: Lemma pr1weq_injectivity {X Y} (f g:X ≃ Y) : (f = g) ≃ (pr1weq f = pr1weq g).
proof: Proof. intros. apply weqonpathsincl. apply isinclpr1weq. Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.Propositions UniMath.MoreFoundations.Notations UniMath.MoreFoundations.Univalence UniMath.MoreFoundations.Tactics UniMath.Algebra.Monoids UniMath.Algebra.Groups UniMath.Combinatorics.OrderedSets