Theorems · Theorem · category theory
CategoryTheory.IsPushout.IsVanKampen.flip
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {W X Y Z : C} {f : W ⟶ X} {g : W ⟶ Y} {h : X ⟶ Z} {i : Y ⟶ Z}
{H : CategoryTheory.IsPushout f g h i}, H.IsVanKampen → ⋯.IsVanKampen- Defined in
- Mathlib.CategoryTheory.Adhesive.Basic
- Cited by
- 1 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.
Cites8
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.IsPullbackproof · cited by 320
- CategoryTheory.IsPushoutstatement and proof · cited by 219
- CategoryTheory.CommSqproof · cited by 158
- CategoryTheory.IsPushout.flipstatement · cited by 25
- CategoryTheory.IsPushout.IsVanKampenstatement and proof · cited by 13
- CategoryTheory.CommSq.flipproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Adhesive.van_kampen'proof · cited by 2