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Theorems · Theorem · order theory

Set.PartiallyWellOrderedOn.mono

∀ {α : Type u_2} {r : α → α → Prop} {s t : Set α}, t.PartiallyWellOrderedOn r → s ⊆ t → s.PartiallyWellOrderedOn r
Defined in
Mathlib.Order.WellFoundedSet
Cited by
4 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
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Around this declaration

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Set.IsPWO.mono · cited by 11IsPWO.monoSet.partiallyWellOrderedOn_of_wellQuasiOrdered · cited by 1Set.partiallyWellOrderedO…Set.partiallyWellOrderedOn_union · cited by 1Set.partiallyWellOrderedO…Set.partiallyWellOrderedOn_iff_finite_antichains · cited by 0Set.partiallyWellOrderedO…Set · cited by 53352SetSet.inclusion · cited by 145Set.inclusionSet.PartiallyWellOrderedOn · cited by 34Set.PartiallyWellOrderedOnPartiallyWellOrderedOn.monoCITED BYCITES

Cites3

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Cited by4

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