Theorems · Theorem · category theory

CategoryTheory.ChosenPullbacksAlong.iso_pullback_map

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {Y X : C} (f : Y ≅ X) {Y_1 Z : CategoryTheory.Over X}
  (g : Y_1 ⟶ Z),
  (CategoryTheory.ChosenPullbacksAlong.pullback f.hom).map g =
    CategoryTheory.Over.homMk (CategoryTheory.Over.Hom.left g) ⋯

Defined in

Mathlib.CategoryTheory.LocallyCartesianClosed.ChosenPullbacksAlong

Cited by

0 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category