Theorems · Theorem · category theory

CategoryTheory.Abelian.mono_cokernel_map_of_isPullback

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Abelian C] {X₁ X₂ X₃ X₄ : C}
  {t : X₁ ⟶ X₂} {l : X₁ ⟶ X₃} {r : X₂ ⟶ X₄} {b : X₃ ⟶ X₄} (sq : CategoryTheory.IsPullback t l r b),
  CategoryTheory.Mono (CategoryTheory.Limits.cokernel.map t b l r ⋯)

Defined in

Mathlib.CategoryTheory.Abelian.CommSq

Cited by

0 results in Mathlib

Foundations

Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Abelian