Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.paths_le_inverseImage
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] (W : CategoryTheory.MorphismProperty C)
[W.IsMultiplicative], W.paths ≤ W.inverseImage (CategoryTheory.pathComposition C)- Cited by
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- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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.Homproof · cited by 32,603
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.MorphismProperty.IsMultiplicativestatement and proof · cited by 332
- CategoryTheory.MorphismProperty.inverseImagestatement · cited by 83
- CategoryTheory.Pathsstatement and proof · cited by 82
- CategoryTheory.MorphismProperty.pathsstatement · cited by 13
- CategoryTheory.pathCompositionstatement · cited by 9
- CategoryTheory.MorphismProperty.composePath_memproof · cited by 2
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