Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.IsClosedUnderIsomorphisms.of_inheritedFromSource
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] (P : CategoryTheory.ObjectProperty C)
(Q : CategoryTheory.MorphismProperty C) [P.InheritedFromSource Q] [Q.RespectsIso] [Q.ContainsIdentities],
P.IsClosedUnderIsomorphisms- Cited by
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- Foundations
- Depth 7 from the axioms · uses propext
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Cites11
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
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.Isoproof · cited by 3,963
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.ObjectPropertystatement and proof · cited by 798
- CategoryTheory.MorphismProperty.RespectsIsostatement and proof · cited by 248
- CategoryTheory.MorphismProperty.ContainsIdentitiesstatement and proof · cited by 94
- CategoryTheory.ObjectProperty.IsClosedUnderIsomorphismsstatement · cited by 68
- CategoryTheory.MorphismProperty.of_isIsoproof · cited by 5
- CategoryTheory.ObjectProperty.InheritedFromSourcestatement and proof · cited by 3
- CategoryTheory.ObjectProperty.InheritedFromSource.of_hom_of_sourceproof · cited by 2
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