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Theorems · Theorem · category theory

TopCat.Presheaf.isSheaf_iff_isSheafUniqueGluing_types

∀ {X : TopCat} (F : TopCat.Presheaf (Type u_4) X), F.IsSheaf ↔ F.IsSheafUniqueGluing

For type-valued presheaves, the sheaf condition in terms of unique gluings is equivalent to the usual sheaf condition.

Defined in
Mathlib.Topology.Sheaves.SheafCondition.UniqueGluing
Cited by
2 results in Mathlib
Foundations
Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

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