Theorems · Theorem · order theory
countableInfClosure_empty
∀ {α : Type u_2} [inst : Preorder α], countableInfClosure ∅ = ∅- Defined in
- Mathlib.Order.CountableSupClosed
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- 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 · cited by 53,352
- Preorderstatement and proof · cited by 7,952
- ClosureOperatorstatement · cited by 371
- countableInfClosurestatement · cited by 21
- countableInfClosure_eq_selfproof · cited by 4
- CountableInfClosed.emptyproof · cited by 1
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