Theorems · Theorem · category theory
CategoryTheory.CommSq.of_arrow
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {f g : CategoryTheory.Arrow C} (h : f ⟶ g),
CategoryTheory.CommSq f.hom (CategoryTheory.Arrow.Hom.left h) (CategoryTheory.Arrow.Hom.right h) g.hom- Defined in
- Mathlib.CategoryTheory.CommSq
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
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Cites10
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.Arrowstatement and proof · cited by 713
- CategoryTheory.Arrow.leftstatement · cited by 426
- CategoryTheory.Arrow.rightstatement · cited by 423
- CategoryTheory.Arrow.homstatement · cited by 335
- CategoryTheory.Arrow.Hom.rightstatement · cited by 176
- CategoryTheory.Arrow.Hom.leftstatement · cited by 160
- CategoryTheory.CommSqstatement · cited by 158
- CategoryTheory.Arrow.Hom.wproof · cited by 17
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