Theorems · Theorem · commutative algebra

HahnSeries.SummableFamily.mul_toFun

∀ {Γ : Type u_1} {R : Type u_3} {α : Type u_5} {β : Type u_6} [inst : AddCommMonoid Γ] [inst_1 : PartialOrder Γ]
  [inst_2 : IsOrderedCancelAddMonoid Γ] [inst_3 : Semiring R] (s : HahnSeries.SummableFamily Γ R α)
  (t : HahnSeries.SummableFamily Γ R β) (a : α × β), (s.mul t) a = s a.1 * t a.2

Defined in

Mathlib.RingTheory.HahnSeries.Summable

Cited by

2 results in Mathlib

Foundations

Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidPartialOrderIsOrderedCancelAddMonoidSemiring