Theorems · Theorem · category theory

CategoryTheory.Limits.pullback.lift.congr_simp

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {W X Y Z : C} {f : X ⟶ Z} {g : Y ⟶ Z}
  [inst_1 : CategoryTheory.Limits.HasPullback f g] (h h_1 : W ⟶ X) (e_h : h = h_1) (k k_1 : W ⟶ Y) (e_k : k = k_1)
  (w : CategoryTheory.CategoryStruct.comp h f = CategoryTheory.CategoryStruct.comp k g),
  CategoryTheory.Limits.pullback.lift h k w = CategoryTheory.Limits.pullback.lift h_1 k_1 ⋯

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Pullback.HasPullback

Cited by

13 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasPullback