Theorems · Definition · order theory

InfTopHom.dual

{α : Type u_2} →
  {β : Type u_3} →
    [inst : Min α] → [inst_1 : Top α] → [inst_2 : Min β] → [inst_3 : Top β] → InfTopHom α β ≃ SupBotHom αᵒᵈ βᵒᵈ

Reinterpret a finitary infimum homomorphism as a finitary supremum homomorphism between the dual lattices.

Defined in

Mathlib.Order.Hom.BoundedLattice

Cited by

5 results in Mathlib

Foundations

Depth 15 from the axioms · uses Quot.sound

Assumes

MinTopMinTop