Theorems · Definition · order theory

OrderAddMonoidHom.comp

{α : Type u_2} →
  {β : Type u_3} →
    {γ : Type u_4} →
      [inst : Preorder α] →
        [inst_1 : Preorder β] →
          [inst_2 : Preorder γ] →
            [inst_3 : AddZeroClass α] →
              [inst_4 : AddZeroClass β] → [inst_5 : AddZeroClass γ] → (β →+o γ) → (α →+o β) → α →+o γ

Composition of OrderAddMonoidHoms as an OrderAddMonoidHom

Defined in

Mathlib.Algebra.Order.Hom.Monoid

Cited by

19 results in Mathlib

Foundations

Depth 14 from the axioms · uses propext, Quot.sound

Assumes

PreorderPreorderPreorderAddZeroClassAddZeroClassAddZeroClass