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Theorems · Theorem · commutative algebra

PowerSeries.order_monomial

∀ {R : Type u_1} [inst : Semiring R] (n : ℕ) (a : R) [inst_1 : Decidable (a = 0)],
  ((PowerSeries.monomial n) a).order = if a = 0 then ⊤ else ↑n

The order of the monomial a*X^n is infinite if a = 0 and n otherwise.

Defined in
Mathlib.RingTheory.PowerSeries.Order
Cited by
2 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringDecidable

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