Theorems · Definition · category theory

CategoryTheory.Limits.weakEqualizer.fork

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    {X Y : C} → (f g : X ⟶ Y) → [CategoryTheory.Limits.HasWeakEqualizer f g] → CategoryTheory.Limits.Fork f g

A weak equalizer cone for a parallel pair f and g

Defined in: Mathlib.CategoryTheory.Limits.WeakLimits.WeakEqualizers
Cited by: 3 results in Mathlib
Foundations: Depth 20 from the axioms · uses propext, Classical.choice
Assumes: CategoryTheory.Category CategoryTheory.Limits.HasWeakEqualizer

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Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement and proof · cited by 32,603
CategoryTheory.Limits.parallelPairproof · cited by 766
CategoryTheory.Limits.Forkstatement · cited by 85
CategoryTheory.Limits.weakLimit.coneproof · cited by 10
CategoryTheory.Limits.HasWeakEqualizerstatement and proof · cited by 10

Cited by3

Results whose statement or proof uses this declaration.

CategoryTheory.Limits.weakEqualizer.fork_ιstatement · cited by 0
CategoryTheory.Limits.weakEqualizer.fork_π_app_zerostatement · cited by 0
CategoryTheory.Preadditive.hasWeakKernel_of_hasWeakEqualizerproof · cited by 0