Theorems · Theorem · category theory
CategoryTheory.Adhesive.isPullback_of_isPushout_of_mono_right
∀ {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}
[CategoryTheory.Adhesive C],
CategoryTheory.IsPushout f g h i → ∀ [CategoryTheory.Mono g], CategoryTheory.IsPullback f g h i- Defined in
- Mathlib.CategoryTheory.Adhesive.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Monostatement and proof · cited by 893
- CategoryTheory.IsPullbackstatement · cited by 320
- CategoryTheory.IsPushoutstatement and proof · cited by 219
- CategoryTheory.Adhesivestatement and proof · cited by 10
- CategoryTheory.Adhesive.van_kampen'proof · cited by 2
- CategoryTheory.IsPushout.IsVanKampen.isPullback_of_mono_rightproof · cited by 1
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