Theorems · Theorem · logic and foundations
Order.IsNormal.isClub_fixedPoints
∀ {α : Type v} [inst : LinearOrder α] [WellFoundedLT α] {f : α → α},
Order.cof α ≠ Cardinal.aleph0 → Order.IsNormal f → IsClub (Function.fixedPoints f)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LinearOrderWellFoundedLT
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Cites47
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Top.topproof · cited by 9,680
- LinearOrderstatement and proof · cited by 8,572
- Set.Elemproof · cited by 7,166
- Set.ofPredproof · cited by 6,101
- Set.rangeproof · cited by 4,705
- Set.Nonemptyproof · cited by 2,627
- Cardinalstatement · cited by 2,598
- iSupproof · cited by 2,415
- Cardinal.mkproof · cited by 942
- IsEmptyproof · cited by 759
- Nat.iterateproof · cited by 740
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