Skip to content
Open
Changes from all commits
Commits
File filter

Filter by extension

Filter by extension

Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
4 changes: 3 additions & 1 deletion Mathlib/Algebra/Ring/Hom/Defs.lean
Original file line number Diff line number Diff line change
Expand Up @@ -534,8 +534,10 @@ theorem coe_monoidHom_id : (id α : α →* α) = MonoidHom.id α :=
variable {_ : NonAssocSemiring γ}

/-- Composition of ring homomorphisms is a ring homomorphism. -/
@[implicit_reducible]
def comp (g : β →+* γ) (f : α →+* β) : α →+* γ :=
{ g.toNonUnitalRingHom.comp f.toNonUnitalRingHom with toFun := g ∘ f, map_one' := by simp }
{ g.toNonUnitalRingHom.comp f.toNonUnitalRingHom with
toFun := fun x ↦ g (f x), map_one' := by simp }

/-- Composition of semiring homomorphisms is associative. -/
theorem comp_assoc {δ} {_ : NonAssocSemiring δ} (f : α →+* β) (g : β →+* γ) (h : γ →+* δ) :
Expand Down
Loading