Theorems · Theorem · category theory
CategoryTheory.Limits.PushoutCocone.isIso_inr_of_epi_of_isColimit
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : C} {f : X ⟶ Y} [CategoryTheory.Epi f]
{t : CategoryTheory.Limits.PushoutCocone f f} (ht : CategoryTheory.Limits.IsColimit t), CategoryTheory.IsIso t.inr- Cited by
- 1 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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.IsIsostatement · cited by 1,156
- CategoryTheory.Limits.IsColimitstatement and proof · cited by 773
- CategoryTheory.Epistatement and proof · cited by 688
- CategoryTheory.Limits.WalkingSpanstatement · cited by 300
- CategoryTheory.Limits.spanstatement · cited by 294
- CategoryTheory.Limits.PushoutCoconestatement and proof · cited by 66
- CategoryTheory.Limits.PushoutCocone.inrstatement · cited by 58
- CategoryTheory.Limits.PushoutCocone.inl_eq_inr_of_epi_eqproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.IsPushout.isIso_inr_iso_of_epiproof · cited by 0