Theorems · Theorem · order theory
CountableSupClosed.countableSupClosure_eq
∀ {α : Type u_2} {s : Set α} [inst : Preorder α], CountableSupClosed s → countableSupClosure s = sAlias of the reverse direction of countableSupClosure_eq_self.
- Defined in
- Mathlib.Order.CountableSupClosed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Preorder
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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
- Preorderstatement and proof · cited by 7,952
- ClosureOperatorstatement · cited by 371
- CountableSupClosedstatement · cited by 27
- countableSupClosurestatement · cited by 21
- countableSupClosure_eq_selfproof · cited by 1
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