Theorems · Theorem · category theory
CategoryTheory.Adhesive.van_kampen
∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} [self : CategoryTheory.Adhesive C] {W X Y Z : C} {f : W ⟶ X}
{g : W ⟶ Y} {h : X ⟶ Z} {i : Y ⟶ Z} [CategoryTheory.Mono f] (H : CategoryTheory.IsPushout f g h i), H.IsVanKampen- Defined in
- Mathlib.CategoryTheory.Adhesive.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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 · cited by 32,603
- CategoryTheory.Monostatement · cited by 893
- CategoryTheory.IsPushoutstatement · cited by 219
- CategoryTheory.IsPushout.IsVanKampenstatement · cited by 13
- CategoryTheory.Adhesivestatement and proof · cited by 10
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.Adhesive.van_kampen'proof · cited by 2
- CategoryTheory.adhesive_of_preserves_and_reflectsproof · cited by 1
- CategoryTheory.Adhesive.isPullback_of_isPushout_of_mono_leftproof · cited by 0
- CategoryTheory.adhesive_of_reflectiveproof · cited by 0
- CategoryTheory.Adhesive.isPushout_isPullback_isPullback_hom_extproof · cited by 0
- CategoryTheory.Adhesive.mono_of_isPushout_of_mono_leftproof · cited by 0