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Theorems · Definition · order theory

Sublocale.giRestrict

{X : Type u_1} → [inst : Order.Frame X] → (S : Sublocale X) → GaloisInsertion (⇑S.restrict) Subtype.val

The restriction corresponding to a sublocale forms a Galois insertion with the forgetful map from the sublocale to the original locale.

Defined in
Mathlib.Order.Sublocale
Cited by
1 results in Mathlib
Foundations
Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Order.Frame

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