Theorems · Theorem · order theory
infClosure_idem
∀ {α : Type u_3} [inst : SemilatticeInf α] (s : Set α), infClosure (infClosure s) = infClosure s- Defined in
- Mathlib.Order.SupClosed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemilatticeInf
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- SemilatticeInfstatement and proof · cited by 634
- ClosureOperatorstatement · cited by 371
- infClosurestatement and proof · cited by 21
- ClosureOperator.idempotentproof · cited by 12
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