Theorems · Theorem · logic and foundations
Cardinal.eventuallyConst_of_antitone
∀ {β : Type v} [inst : PartialOrder β] {f : Cardinal.{v} → β} [Small.{v, v} β],
Antitone f → Filter.EventuallyConst f Filter.atTop- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrderSmall
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- Cardinalstatement and proof · cited by 2,598
- Filter.atTopstatement · cited by 2,405
- Antitonestatement and proof · cited by 563
- Smallstatement and proof · cited by 369
- Filter.EventuallyConststatement · cited by 93
- Cardinal.eventuallyConst_of_monotoneproof · cited by 1
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