Theorems · Theorem · category theory
CategoryTheory.regularTopology.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.PreservesEffectiveEpis]
[inst_3 : F.ReflectsEffectiveEpis] [inst_4 : F.Full] [inst_5 : F.Faithful] [inst_6 : F.EffectivelyEnough]
[inst_7 : CategoryTheory.Preregular D],
CategoryTheory.CoverPreserving (CategoryTheory.regularTopology C) (CategoryTheory.regularTopology D) F- Cited by
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- 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.Preregularstatement and proof · cited by 52
- CategoryTheory.CoverPreservingstatement · cited by 32
- CategoryTheory.regularTopologystatement and proof · cited by 26
- CategoryTheory.Functor.PreservesEffectiveEpisstatement and proof · cited by 10
- CategoryTheory.Functor.EffectivelyEnoughstatement and proof · cited by 9
- CategoryTheory.Functor.ReflectsEffectiveEpisstatement and proof · cited by 6
- CategoryTheory.Functor.IsDenseSubsite.coverPreservingproof · cited by 3
- CategoryTheory.Functor.reflects_preregularstatement · cited by 3
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