Theorems · Theorem · order theory
Set.IsPWO.mono
∀ {α : Type u_2} [inst : Preorder α] {s t : Set α}, t.IsPWO → s ⊆ t → s.IsPWO- Defined in
- Mathlib.Order.WellFoundedSet
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.PartiallyWellOrderedOn.monoproof · cited by 4
Cited by11
Results whose statement or proof uses this declaration.
- Submonoid.fg_of_divisiveproof · cited by 2
- AddSubmonoid.fg_of_subtractiveproof · cited by 2
- HahnSeries.SummableFamily.isPWO_iUnion_support_prod_smulproof · cited by 1
- Finset.isPWO_support_antidiagonalproof · cited by 1
- HahnSeries.SummableFamily.isPWO_iUnion_support_powersproof · cited by 1
- Set.PartiallyWellOrderedOn.fiberProdLexproof · cited by 1
- Finset.isPWO_support_mulAntidiagonalproof · cited by 0
- Finset.isPWO_support_smulAntidiagonalproof · cited by 0
- Finset.isPWO_support_vaddAntidiagonalproof · cited by 0
- AddSemigroupIdeal.fg_of_wellQuasiOrderedLEproof · cited by 0
- SemigroupIdeal.fg_of_wellQuasiOrderedLEproof · cited by 0