Theorems · Theorem · order theory

OrderMonoidHom.comp_mul

∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : CommMonoid α] [inst_1 : Preorder α] [inst_2 : CommMonoid β]
  [inst_3 : Preorder β] [inst_4 : CommMonoid γ] [inst_5 : Preorder γ] [inst_6 : IsOrderedMonoid β]
  [inst_7 : IsOrderedMonoid γ] (g : β →*o γ) (f₁ f₂ : α →*o β), g.comp (f₁ * f₂) = g.comp f₁ * g.comp f₂

Defined in

Mathlib.Algebra.Order.Hom.Monoid

Cited by

0 results in Mathlib

Foundations

Depth 15 from the axioms · uses propext, Quot.sound

Assumes

CommMonoidPreorderCommMonoidPreorderCommMonoidPreorderIsOrderedMonoidIsOrderedMonoid