Theorems · Definition · order theory

OrderMonoidWithZeroHom.toOrderMonoidHom

{α : Type u_2} →
  {β : Type u_3} →
    [inst : Preorder α] →
      [inst_1 : Preorder β] → [inst_2 : MulZeroOneClass α] → [inst_3 : MulZeroOneClass β] → (α →*₀o β) → α →*o β

Reinterpret an ordered monoid with zero homomorphism as an order monoid homomorphism.

Defined in

Mathlib.Algebra.Order.Hom.MonoidWithZero

Cited by

2 results in Mathlib

Foundations

Depth 9 from the axioms · uses no axioms

Assumes

PreorderPreorderMulZeroOneClassMulZeroOneClass