Theorems · Theorem · commutative algebra
MvPowerSeries.rescale_homogeneous_eq_smul
∀ {σ : Type u_1} {R : Type u_9} [inst : CommSemiring R] {n : ℕ} {r : R} {f : MvPowerSeries σ R},
(∀ d ∈ Function.support f, Finsupp.degree d = n) → (MvPowerSeries.rescale (Function.const σ r)) f = r ^ n • fRescaling a homogeneous power series
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
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Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- Finsuppstatement and proof · cited by 5,255
- Finset.sumproof · cited by 5,195
- AddMonoidHomstatement · cited by 3,230
- MulZeroClass.mul_zeroproof · cited by 2,091
- Finsupp.supportproof · cited by 828
- MvPowerSeriesstatement and proof · cited by 659
- Finset.prod_congrproof · cited by 646
- Function.supportstatement and proof · cited by 610
Cited by1
Results whose statement or proof uses this declaration.
- PowerSeries.subst_rescale_of_degree_eq_oneproof · cited by 0