Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.sourceLocalClosure.le_of_isLocalAtSource
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {K : CategoryTheory.Precoverage C}
{P Q : CategoryTheory.MorphismProperty C},
P ≤ Q → ∀ [Q.IsLocalAtSource K], CategoryTheory.MorphismProperty.sourceLocalClosure K P ≤ Q- Cited by
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- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
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.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Isoproof · cited by 3,963
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Iso.symmproof · cited by 993
- CategoryTheory.Presieveproof · cited by 449
- CategoryTheory.Arrow.mkproof · cited by 421
- CategoryTheory.Precoveragestatement and proof · cited by 204
- CategoryTheory.Precoverage.coveringsproof · cited by 194
- CategoryTheory.MorphismProperty.arrow_mk_iso_iffproof · cited by 78
- CategoryTheory.MorphismProperty.IsLocalAtSourcestatement and proof · cited by 11
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