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Theorems · Definition · order theory

nucleusIsoSublocale

{X : Type u_1} → [inst : Order.Frame X] → (Nucleus X)ᵒᵈ ≃o Sublocale X

The nuclei on a frame corresponds exactly to the sublocales on this frame. The sublocales are ordered dually to the nuclei.

Defined in
Mathlib.Order.Sublocale
Cited by
2 results in Mathlib
Foundations
Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Order.Frame

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Cited by2

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