Theorems · Theorem · order theory
Disjoint.map_orderIso
∀ {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 a b → Disjoint (f a) (f b)Note that this goal could also be stated (Disjoint on f) a b
- Defined in
- Mathlib.Order.Hom.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Bot.botproof · cited by 4,720
- 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
- disjoint_iff_inf_leproof · cited by 64
- Disjoint.le_botproof · cited by 52
- OrderIso.map_botproof · cited by 30
- OrderIso.monotoneproof · cited by 23
- OrderIso.map_infproof · cited by 17
Cited by3
Results whose statement or proof uses this declaration.
- OrderIso.isComplproof · cited by 1
- iSupIndep.map_orderIsoproof · cited by 1
- disjoint_map_orderIso_iffproof · cited by 0