Theorems · Theorem · category theory
CategoryTheory.Square.IsPushout.of_iso
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {sq₁ sq₂ : CategoryTheory.Square C},
sq₁.IsPushout → ∀ (e : sq₁ ≅ sq₂), sq₂.IsPushout- Cited by
- 2 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
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
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Functor.mapIsoproof · cited by 224
- CategoryTheory.Squarestatement and proof · cited by 193
- CategoryTheory.Square.f₁₃proof · cited by 56
- CategoryTheory.Square.f₂₄proof · cited by 52
- CategoryTheory.Square.f₁₂proof · cited by 51
- CategoryTheory.Square.f₃₄proof · cited by 51
- CategoryTheory.Square.Hom.τ₁proof · cited by 24
- CategoryTheory.Square.Hom.τ₂proof · cited by 24
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Square.IsPushout.iff_of_isoproof · cited by 0