Theorems · Theorem · order theory
countableSupClosure_mono
∀ {α : Type u_2} [inst : Preorder α], Monotone ⇑countableSupClosure- Defined in
- Mathlib.Order.CountableSupClosed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Preorder
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Cites8
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
- Monotonestatement · cited by 1,397
- ClosureOperatorstatement · cited by 371
- OrderHom.monoproof · cited by 28
- countableSupClosurestatement and proof · cited by 21
- ClosureOperator.toOrderHomproof · cited by 6
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