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Theorems · Theorem · commutative algebra

PowerSeries.order_mul

∀ {R : Type u_1} [inst : Semiring R] [NoZeroDivisors R] (φ ψ : PowerSeries R), (φ * ψ).order = φ.order + ψ.order

The order of the product of two formal power series over an integral domain is the sum of their orders.

Defined in
Mathlib.RingTheory.PowerSeries.Order
Cited by
2 results in Mathlib
Foundations
Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringNoZeroDivisors

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