Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.IsLocalAtTarget.of_le
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {P : CategoryTheory.MorphismProperty C}
{K L : CategoryTheory.Precoverage C} [P.IsLocalAtTarget L], K ≤ L → P.IsLocalAtTarget K- Cited by
- 0 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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.Limits.pullbackproof · cited by 864
- CategoryTheory.Limits.pullback.sndproof · cited by 637
- CategoryTheory.Presieveproof · cited by 449
- CategoryTheory.Limits.HasPullbackproof · cited by 434
- CategoryTheory.Precoveragestatement and proof · cited by 204
- CategoryTheory.Precoverage.coveringsproof · cited by 194
- CategoryTheory.MorphismProperty.IsLocalAtTargetstatement and proof · cited by 14
- CategoryTheory.MorphismProperty.IsLocalAtTarget.pullbackSndproof · cited by 3
- CategoryTheory.MorphismProperty.IsLocalAtTarget.of_forall_pullbackSndproof · cited by 2
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