Theorems · Theorem · category theory

CategoryTheory.MonoidalCategory.Arrow.PushoutProduct.isInitialIso_inv_left

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasPushouts C]
  [inst_2 : CategoryTheory.CartesianMonoidalCategory C] [inst_3 : CategoryTheory.MonoidalClosed C]
  (X : CategoryTheory.Arrow C) {I : C} (i : CategoryTheory.Limits.IsInitial I) {W : C},
  (CategoryTheory.MonoidalCategory.Arrow.PushoutProduct.isInitialIso X i).inv.left = ⋯.isoPushout.hom

Defined in

Mathlib.CategoryTheory.Monoidal.PushoutProduct

Cited by

0 results in Mathlib

Foundations

Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasPushoutsCategoryTheory.CartesianMonoidalCategoryCategoryTheory.MonoidalClosed