Theorems · Definition · category theory

CategoryTheory.RegularMono.isLimit

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {X Y : C} →
      {f : X ⟶ Y} →
        (self : CategoryTheory.RegularMono f) → CategoryTheory.Limits.IsLimit (CategoryTheory.Limits.Fork.ofι f ⋯)

f is the equalizer of the two maps

Defined in

Mathlib.CategoryTheory.Limits.Shapes.RegularMono

Cited by

1 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category