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Theorems · Theorem · category theory

TopCat.Presheaf.toType_isSheaf

∀ (X : TopCat) (T : Type u_1), (X.presheafToType T).IsSheaf

The presheaf of not-necessarily-continuous functions to a target type T satisfies the sheaf condition.

Defined in
Mathlib.Topology.Sheaves.SheafOfFunctions
Cited by
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Foundations
Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
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TopCat.sheafToType · cited by 0TopCat.sheafToTypeTopCat.carrier · cited by 3184TopCat.carrierTopCat · cited by 1889TopCatTopCat.Presheaf.IsSheaf · cited by 38Presheaf.IsSheafTopCat.presheafToType · cited by 3TopCat.presheafToTypeTopCat.Presheaf.toTypes_isSheaf · cited by 1Presheaf.toTypes_isSheafPresheaf.toType_isSheafCITED BYCITES

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