Theorems · Definition · order theory

OrderMonoidWithZeroHom.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 : MulZeroOneClass α] →
              [inst_4 : MulZeroOneClass β] → [inst_5 : MulZeroOneClass γ] → (β →*₀o γ) → (α →*₀o β) → α →*₀o γ

Composition of OrderMonoidWithZeroHoms as an OrderMonoidWithZeroHom.

Defined in

Mathlib.Algebra.Order.Hom.MonoidWithZero

Cited by

14 results in Mathlib

Foundations

Depth 16 from the axioms · uses propext, Quot.sound

Assumes

PreorderPreorderPreorderMulZeroOneClassMulZeroOneClassMulZeroOneClass