Theorems · Theorem · category theory
CategoryTheory.Precoverage.Small.inf
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {J K : CategoryTheory.Precoverage C} [J.Small],
(∀ ⦃X : C⦄ ⦃R S : CategoryTheory.Presieve X⦄, R ≤ S → S ∈ K.coverings X → R ∈ K.coverings X) → (J ⊓ K).Small- Cited by
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- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- CategoryTheory.Precoverage.ZeroHypercoverproof · cited by 81
- CategoryTheory.PreZeroHypercover.presieve₀proof · cited by 70
- CategoryTheory.Precoverage.ZeroHypercover.mem₀proof · cited by 26
- CategoryTheory.PreZeroHypercover.restrictIndexproof · cited by 11
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