Theorems · Theorem · order theory

OrderRingHom.comp_assoc

∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} {δ : Type u_5} [inst : NonAssocSemiring α] [inst_1 : Preorder α]
  [inst_2 : NonAssocSemiring β] [inst_3 : Preorder β] [inst_4 : NonAssocSemiring γ] [inst_5 : Preorder γ]
  [inst_6 : NonAssocSemiring δ] [inst_7 : Preorder δ] (f : γ →+*o δ) (g : β →+*o γ) (h : α →+*o β),
  (f.comp g).comp h = f.comp (g.comp h)

Defined in

Mathlib.Algebra.Order.Hom.Ring

Cited by

1 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Quot.sound

Assumes

NonAssocSemiringPreorderNonAssocSemiringPreorderNonAssocSemiringPreorderNonAssocSemiringPreorder