Theorems · Definition · order theory

OrderRingHom.toOrderMonoidWithZeroHom

{α : Type u_2} →
  {β : Type u_3} →
    [inst : NonAssocSemiring α] →
      [inst_1 : Preorder α] → [inst_2 : NonAssocSemiring β] → [inst_3 : Preorder β] → α →+*o β → α →*₀o β

Reinterpret an ordered ring homomorphism as an order homomorphism.

Defined in

Mathlib.Algebra.Order.Hom.Ring

Cited by

1 results in Mathlib

Foundations

Depth 13 from the axioms · uses no axioms

Assumes

NonAssocSemiringPreorderNonAssocSemiringPreorder