Theorems · Definition · category theory

CategoryTheory.Preadditive.isWeakLimitForkOfKernelFork

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    [inst_1 : CategoryTheory.Preadditive C] →
      {X Y : C} →
        {f g : X ⟶ Y} →
          {c : CategoryTheory.Limits.KernelFork (f - g)} →
            CategoryTheory.Limits.IsWeakLimit c →
              CategoryTheory.Limits.IsWeakLimit (CategoryTheory.Preadditive.forkOfKernelFork c)

A weak kernel of f - g is a weak equalizer of f and g.

Defined in

Mathlib.CategoryTheory.Limits.WeakLimits.WeakKernels

Cited by

2 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive