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Theorems · Definition · order theory

extentClosure

{α : Type u_2} → {β : Type u_3} → (α → β → Prop) → ClosureOperator (Set α)

The extentClosure of a set is the smallest extent containing it. See IsExtent.lowerPolar_upperPolar_subset for this proof.

Defined in
Mathlib.Order.Concept
Cited by
2 results in Mathlib
Foundations
Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

extentClosure_apply · cited by 0extentClosure_applyextentClosure_isClosed · cited by 0extentClosure_isClosedSet · cited by 53352SetClosureOperator · cited by 371ClosureOperatorgc_upperPolar_lowerPolar · cited by 7gc_upperPolar_lowerPolarGaloisConnection.closureOperator · cited by 6GaloisConnection.closureO…extentClosureCITED BYCITES

Cites4

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Cited by2

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