Theorems · Theorem · order theory

OrderMonoidWithZeroHom.coe_comp_orderMonoidHom

∀ {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] (f : β →*₀o γ) (g : α →*₀o β),
  ↑(f.comp g) = (↑f).comp ↑g

Defined in

Mathlib.Algebra.Order.Hom.MonoidWithZero

Cited by

0 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext, Quot.sound

Assumes

PreorderPreorderPreorderMulZeroOneClassMulZeroOneClassMulZeroOneClass