Theorems · Theorem · order theory
disjoint_map_orderIso_iff
∀ {α : Type u_2} {β : Type u_3} [inst : SemilatticeInf α] [inst_1 : OrderBot α] [inst_2 : SemilatticeInf β]
[inst_3 : OrderBot β] {a b : α} (f : α ≃o β), Disjoint (f a) (f b) ↔ Disjoint a b- Defined in
- Mathlib.Order.Hom.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Disjointstatement and proof · cited by 2,201
- OrderBotstatement and proof · cited by 1,055
- OrderIsostatement and proof · cited by 874
- SemilatticeInfstatement and proof · cited by 634
- OrderIso.symmproof · cited by 475
- OrderIso.symm_apply_applyproof · cited by 41
- Disjoint.map_orderIsoproof · cited by 3
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