From 0bea1ddf9288628728ca6fbe066eabea525da488 Mon Sep 17 00:00:00 2001 From: jamesmckinna Date: Fri, 18 Jul 2025 12:57:22 +0100 Subject: [PATCH] fix: duplicate entries --- CHANGELOG.md | 22 ---------------------- 1 file changed, 22 deletions(-) diff --git a/CHANGELOG.md b/CHANGELOG.md index b9dce3e816..bb16ddeb36 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -288,28 +288,6 @@ Additions to existing modules uv≈wx⇒yu∙vz≈yw∙xz : (y ∙ u) ∙ (v ∙ z) ≈ (y ∙ w) ∙ (x ∙ z) ``` -* In `Algebra.Properties.Semigroup` adding consequences for associativity for semigroups - ```agda - uv≈w⇒xu∙v≈xw : ∀ x → (x ∙ u) ∙ v ≈ x ∙ w - uv≈w⇒u∙vx≈wx : ∀ x → u ∙ (v ∙ x) ≈ w ∙ x - uv≈w⇒u[vx∙y]≈w∙xy : ∀ x y → u ∙ ((v ∙ x) ∙ y) ≈ w ∙ (x ∙ y) - uv≈w⇒x[uv∙y]≈x∙wy : ∀ x y → x ∙ (u ∙ (v ∙ y)) ≈ x ∙ (w ∙ y) - uv≈w⇒[x∙yu]v≈x∙yw : ∀ x y → (x ∙ (y ∙ u)) ∙ v ≈ x ∙ (y ∙ w) - uv≈w⇒[xu∙v]y≈x∙wy : ∀ x y → ((x ∙ u) ∙ v) ∙ y ≈ x ∙ (w ∙ y) - uv≈w⇒[xy∙u]v≈x∙yw : ∀ x y → ((x ∙ y) ∙ u) ∙ v ≈ x ∙ (y ∙ w) - uv≈w⇒xu∙vy≈x∙wy : ∀ x y → (x ∙ u) ∙ (v ∙ y) ≈ x ∙ (w ∙ y) - uv≈w⇒xy≈z⇒u[vx∙y]≈wz : ∀ z → x ∙ y ≈ z → u ∙ ((v ∙ x) ∙ y) ≈ w ∙ z - uv≈w⇒x∙wy≈x∙[u∙vy] : x ∙ (w ∙ y) ≈ x ∙ (u ∙ (v ∙ y)) - [uv∙w]x≈u[vw∙x] : ((u ∙ v) ∙ w) ∙ x ≈ u ∙ ((v ∙ w) ∙ x) - [uv∙w]x≈u[v∙wx] : ((u ∙ v) ∙ w) ∙ x ≈ u ∙ (v ∙ (w ∙ x)) - [u∙vw]x≈uv∙wx : (u ∙ (v ∙ w)) ∙ x ≈ (u ∙ v) ∙ (w ∙ x) - [u∙vw]x≈u[v∙wx] : (u ∙ (v ∙ w)) ∙ x ≈ u ∙ (v ∙ (w ∙ x)) - uv∙wx≈u[vw∙x] : (u ∙ v) ∙ (w ∙ x) ≈ u ∙ ((v ∙ w) ∙ x) - uv≈wx⇒yu∙v≈yw∙x : ∀ y → (y ∙ u) ∙ v ≈ (y ∙ w) ∙ x - uv≈wx⇒u∙vy≈w∙xy : ∀ y → u ∙ (v ∙ y) ≈ w ∙ (x ∙ y) - uv≈wx⇒yu∙vz≈yw∙xz : ∀ y z → (y ∙ u) ∙ (v ∙ z) ≈ (y ∙ w) ∙ (x ∙ z) - ``` - * In `Algebra.Properties.Semigroup.Divisibility`: ```agda ∣ˡ-trans : Transitive _∣ˡ_