Theorems · Theorem · order theory
Set.IsPWO.isWF
∀ {α : Type u_2} [inst : Preorder α] {s : Set α}, s.IsPWO → s.IsWF- Defined in
- Mathlib.Order.WellFoundedSet
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Preorderstatement and proof · cited by 7,952
- Set.IsPWOstatement and proof · cited by 99
- Set.WellFoundedOnproof · cited by 53
- Set.IsWFstatement · cited by 47
- Set.PartiallyWellOrderedOn.wellFoundedOnproof · cited by 3
Cited by9
Results whose statement or proof uses this declaration.
- HahnSeries.isWF_supportproof · cited by 33
- Set.Finite.isWFproof · cited by 4
- LaurentSeries.Cauchy.exists_lb_eventual_supportproof · cited by 2
- Set.IsWF.vaddproof · cited by 2
- Set.IsWF.mulproof · cited by 1
- Set.IsWF.smulproof · cited by 1
- Set.IsWF.addproof · cited by 1
- HahnSeries.SummableFamily.pow_finite_co_supportproof · cited by 0
- Set.Subsingleton.isWFproof · cited by 0