Theorems · Theorem · order theory
IsCompl.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 : BoundedOrder α] [inst_4 : BoundedOrder β] [BoundedLatticeHomClass F α β] {a b : α} (f : F),
IsCompl a b → IsCompl (f a) (f b)- Defined in
- Mathlib.Order.Hom.BoundedLattice
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- Latticestatement and proof · cited by 916
- IsComplstatement and proof · cited by 351
- BoundedOrderstatement and proof · cited by 270
- IsCompl.disjointproof · cited by 42
- IsCompl.codisjointproof · cited by 32
- BoundedLatticeHomClassstatement and proof · cited by 6
- Disjoint.mapproof · cited by 1
- Codisjoint.mapproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- map_compl'proof · cited by 1