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Theorems · Definition · order theory

ClosureOperator.toOrderHom

{α : Type u_1} → [inst : Preorder α] → ClosureOperator α → α →o α
Defined in
Mathlib.Order.Closure
Cited by
6 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
Preorder
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Around this declaration

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

ClosureOperator.monotone · cited by 18ClosureOperator.monotoneClosureOperator.isClosed_iff · cited by 14ClosureOperator.isClosed_…ClosureOperator.ofPred · cited by 4ClosureOperator.ofPredClosureOperator.le_closure' · cited by 1ClosureOperator.le_closur…ClosureOperator.idempotent' · cited by 1ClosureOperator.idempoten…countableSupClosure_mono · cited by 0countableSupClosure_monocountableInfClosure_mono · cited by 0countableInfClosure_monoPreorder · cited by 7952PreorderOrderHom · cited by 934OrderHomClosureOperator · cited by 371ClosureOperatorClosureOperator.toOrderHomCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by7

Results whose statement or proof uses this declaration.