Theorems · Theorem · order theory
Set.isPWO_of_wellQuasiOrderedLE
∀ {α : Type u_2} [inst : Preorder α] [h : WellQuasiOrderedLE α] (s : Set α), s.IsPWO- Defined in
- Mathlib.Order.WellFoundedSet
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PreorderWellQuasiOrderedLE
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 · cited by 99
- WellQuasiOrderedLEstatement and proof · cited by 22
- WellQuasiOrderedLE.wqoproof · cited by 2
- Set.partiallyWellOrderedOn_of_wellQuasiOrderedproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- AddSubmonoid.fg_of_subtractiveproof · cited by 2
- Submonoid.fg_of_divisiveproof · cited by 2
- SemigroupIdeal.fg_of_wellQuasiOrderedLEproof · cited by 0
- AddSemigroupIdeal.fg_of_wellQuasiOrderedLEproof · cited by 0