Theorems · Theorem · category theory

CategoryTheory.CostructuredArrow.epi_of_epi_left

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {T : D} {S : CategoryTheory.Functor C D} {A B : CategoryTheory.CostructuredArrow S T} (f : A ⟶ B)
  [h : CategoryTheory.Epi f.left], CategoryTheory.Epi f

The converse of this is true with additional assumptions, see epi_iff_epi_left.

Defined in

Mathlib.CategoryTheory.Comma.StructuredArrow.Basic

Cited by

1 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Epi