Theorems · Theorem · order theory
ClosureOperator.isClosed_top
∀ {α : Type u_1} [inst : PartialOrder α] [inst_1 : OrderTop α] (c : ClosureOperator α), c.IsClosed ⊤- Defined in
- Mathlib.Order.Closure
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- PartialOrderOrderTop
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- PartialOrderstatement and proof · cited by 6,410
- OrderTopstatement and proof · cited by 493
- ClosureOperatorstatement and proof · cited by 371
- ClosureOperator.IsClosedstatement · cited by 38
- ClosureOperator.isClosed_iffproof · cited by 14
- ClosureOperator.closure_topproof · cited by 4
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