Theorems · Theorem · category theory

CategoryTheory.IsPullback.isoIsPullback_inv_snd_assoc

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {P : C} (X Y : C) {Z : C} {fst : P ⟶ X} {snd : P ⟶ Y}
  {f : X ⟶ Z} {g : Y ⟶ Z} {P' : C} {fst' : P' ⟶ X} {snd' : P' ⟶ Y} (h : CategoryTheory.IsPullback fst snd f g)
  (h' : CategoryTheory.IsPullback fst' snd' f g) {Z_1 : C} (h_1 : Y ⟶ Z_1),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.IsPullback.isoIsPullback X Y h h').inv
      (CategoryTheory.CategoryStruct.comp snd h_1) =
    CategoryTheory.CategoryStruct.comp snd' h_1

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Pullback.IsPullback.Defs

Cited by

0 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category