Theorems · Theorem · order theory
Disjoint.map
∀ {F : Type u_1} {α : Type u_2} {β : Type u_3} [inst : Lattice α] [inst_1 : Lattice β] [inst_2 : FunLike F α β]
[inst_3 : OrderBot α] [inst_4 : OrderBot β] [BotHomClass F α β] [InfHomClass F α β] {a b : α} (f : F),
Disjoint a b → Disjoint (f a) (f b)- Defined in
- Mathlib.Order.Hom.BoundedLattice
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- FunLikestatement and proof · cited by 2,560
- Disjointstatement and proof · cited by 2,201
- OrderBotstatement and proof · cited by 1,055
- Latticestatement and proof · cited by 916
- disjoint_iffproof · cited by 76
- Disjoint.eq_botproof · cited by 52
- InfHomClass.map_infproof · cited by 20
- BotHomClass.map_botproof · cited by 12
- InfHomClassstatement and proof · cited by 10
- BotHomClassstatement and proof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- IsCompl.mapproof · cited by 2