Theorems · Theorem · commutative algebra
MvPowerSeries.expand_monomial
∀ {σ : Type u_1} {R : Type u_3} [inst : CommRing R] (p : ℕ) (hp : p ≠ 0) (d : σ →₀ ℕ) (r : R),
(MvPowerSeries.expand p hp) ((MvPowerSeries.monomial d) r) = (MvPowerSeries.monomial (p • d)) r- Defined in
- Mathlib.RingTheory.MvPowerSeries.Expand
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- pow_zeroproof · cited by 1,094
- Finsupp.supportproof · cited by 828
- MvPowerSeriesstatement and proof · cited by 659
- Finsupp.prodproof · cited by 231
Cited by1
Results whose statement or proof uses this declaration.
- PowerSeries.expand_monomialproof · cited by 0