Theorems · Theorem · order theory
Set.Finite.isPWO
∀ {α : Type u_2} [inst : Preorder α] {s : Set α}, s.Finite → s.IsPWO- Defined in
- Mathlib.Order.WellFoundedSet
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 88 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.
Cites5
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.Finitestatement and proof · cited by 1,814
- Set.IsPWOstatement · cited by 99
- Set.Finite.partiallyWellOrderedOnproof · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- Set.Finite.isWFproof · cited by 4
- Set.Subsingleton.isPWOproof · cited by 1
- Set.isPWO_emptyproof · cited by 0
- Set.isPWO_of_finiteproof · cited by 0
- Set.isPWO_singletonproof · cited by 0