Mathlib Map

Theorems · Definition · order theory

BoundedLatticeHom.dual

{α : Type u_2} →
  {β : Type u_3} →
    [inst : Lattice α] →
      [inst_1 : BoundedOrder α] →
        [inst_2 : Lattice β] → [inst_3 : BoundedOrder β] → BoundedLatticeHom α β ≃ BoundedLatticeHom αᵒᵈ βᵒᵈ

Reinterpret a bounded lattice homomorphism as a bounded lattice homomorphism between the dual bounded lattices.

Defined in
Mathlib.Order.Hom.BoundedLattice
Cited by
11 results in Mathlib
Foundations
Depth 18 from the axioms · uses Quot.sound
Assumes
LatticeBoundedOrderLatticeBoundedOrder

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.

Cited by16

Results whose statement or proof uses this declaration.