Theorems · Theorem · logic and foundations
Cardinal.eventuallyConst_of_monotone
∀ {β : Type v} [inst : PartialOrder β] {f : Cardinal.{v} → β} [Small.{v, v} β],
Monotone f → Filter.EventuallyConst f Filter.atTop- Cited by
- 1 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrderSmall
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Monotonestatement and proof · cited by 1,397
- Cardinal.mkproof · cited by 942
- Cardinal.liftproof · cited by 583
- Smallstatement and proof · cited by 369
- Filter.EventuallyConststatement · cited by 93
- Order.cof_eq_cardinalMkproof · cited by 6
- Cardinal.lift_univproof · cited by 5
- Filter.EventuallyConst.of_monotone_of_lt_cofproof · cited by 3
- Cardinal.mk_cardinalproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Cardinal.eventuallyConst_of_antitoneproof · cited by 0