Theorems · Theorem · category theory
CategoryTheory.coherentTopology.coverPreserving
∀ {C : Type u_1} {D : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} C]
[inst_1 : CategoryTheory.Category.{v_2, u_2} D] (F : CategoryTheory.Functor C D)
[inst_2 : F.PreservesFiniteEffectiveEpiFamilies] [inst_3 : F.ReflectsFiniteEffectiveEpiFamilies] [inst_4 : F.Full]
[inst_5 : F.Faithful] [inst_6 : F.EffectivelyEnough] [inst_7 : CategoryTheory.Precoherent D],
CategoryTheory.CoverPreserving (CategoryTheory.coherentTopology C) (CategoryTheory.coherentTopology D) F- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 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
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.Fullstatement and proof · cited by 341
- CategoryTheory.Functor.Faithfulstatement and proof · cited by 313
- CategoryTheory.coherentTopologystatement and proof · cited by 141
- CategoryTheory.CoverPreservingstatement · cited by 32
- CategoryTheory.Precoherentstatement and proof · cited by 26
- CategoryTheory.Functor.EffectivelyEnoughstatement and proof · cited by 9
- CategoryTheory.Functor.ReflectsFiniteEffectiveEpiFamiliesstatement and proof · cited by 6
- CategoryTheory.Functor.PreservesFiniteEffectiveEpiFamiliesstatement and proof · cited by 5
- CategoryTheory.Functor.IsDenseSubsite.coverPreservingproof · cited by 3
- CategoryTheory.Functor.reflects_precoherentstatement · cited by 3
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