Theorems · Theorem · order theory

OrderMonoidHom.mul_comp

∀ {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 γ] (g₁ g₂ : β →*o γ)
  (f : α →*o β), (g₁ * g₂).comp f = g₁.comp f * g₂.comp f

Defined in

Mathlib.Algebra.Order.Hom.Monoid

Cited by

0 results in Mathlib

Foundations

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

Assumes

CommMonoidPreorderCommMonoidPreorderCommMonoidPreorderIsOrderedMonoid