Theorems · Theorem · category theory
CategoryTheory.Limits.PushoutCocone.inl_eq_inr_of_epi_eq
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : C} {f : X ⟶ Y} [CategoryTheory.Epi f]
(t : CategoryTheory.Limits.PushoutCocone f f), t.inl = t.inr- Cited by
- 3 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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.Cocone.ptstatement · cited by 1,354
- CategoryTheory.Limits.WalkingPairstatement · cited by 1,319
- CategoryTheory.Epistatement and proof · cited by 688
- CategoryTheory.cancel_epiproof · cited by 380
- CategoryTheory.Limits.WalkingSpanstatement · cited by 300
- CategoryTheory.Limits.spanstatement · cited by 294
- CategoryTheory.Limits.PushoutCoconestatement and proof · cited by 66
- CategoryTheory.Limits.PushoutCocone.inlstatement · cited by 58
- CategoryTheory.Limits.PushoutCocone.inrstatement · cited by 58
- CategoryTheory.Limits.PushoutCocone.conditionproof · cited by 15
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.PushoutCocone.isIso_inl_of_epi_of_isColimitproof · cited by 2
- CategoryTheory.Limits.PushoutCocone.isIso_inr_of_epi_of_isColimitproof · cited by 1
- CategoryTheory.Limits.inl_eq_inr_of_epi_eqproof · cited by 1