TopCat.Presheaf.isSheaf_iff_isSheafPairwiseIntersections

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {X : TopCat} (F : TopCat.Presheaf C X),
  F.IsSheaf ↔ F.IsSheafPairwiseIntersections

The sheaf condition in terms of an equalizer diagram is equivalent to the reformulation in terms of a limit diagram over U i and U i ⊓ U j.

Defined in: Mathlib.Topology.Sheaves.SheafCondition.PairwiseIntersections
Cited by: 4 results in Mathlib
Foundations: Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category

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