Theorems · Theorem · ring theory

RingHom.comp_assoc

∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} {x : NonAssocSemiring α} {x_1 : NonAssocSemiring β}
  {x_2 : NonAssocSemiring γ} {δ : Type u_5} {x_3 : NonAssocSemiring δ} (f : α →+* β) (g : β →+* γ) (h : γ →+* δ),
  (h.comp g).comp f = h.comp (g.comp f)

Composition of semiring homomorphisms is associative.

Defined in

Mathlib.Algebra.Ring.Hom.Defs

Cited by

27 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Quot.sound