Theorems · Theorem · category theory

CategoryTheory.Limits.isKernelCompMono_lift

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] {X Y : C}
  {f : X ⟶ Y} {c : CategoryTheory.Limits.KernelFork f} (i : CategoryTheory.Limits.IsLimit c) {Z : C} (g : Y ⟶ Z)
  [hg : CategoryTheory.Mono g] {h : X ⟶ Z} (hh : h = CategoryTheory.CategoryStruct.comp f g)
  (s : CategoryTheory.Limits.KernelFork h),
  (CategoryTheory.Limits.isKernelCompMono i g hh).lift s =
    i.lift (CategoryTheory.Limits.Fork.ofι (CategoryTheory.Limits.Fork.ι s) ⋯)

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Kernels

Cited by

0 results in Mathlib

Foundations

Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Mono