Theorems · Theorem · commutative algebra
MvPowerSeries.trunc_C_mul
∀ {σ : Type u_1} {R : Type u_2} [inst : DecidableEq σ] [inst_1 : CommSemiring R] (n : σ →₀ ℕ) (a : R)
(p : MvPowerSeries σ R),
(MvPowerSeries.trunc R n) (MvPowerSeries.C a * p) = MvPolynomial.C a * (MvPowerSeries.trunc R n) p- Defined in
- Mathlib.RingTheory.MvPowerSeries.Trunc
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqCommSemiring
Around this declaration
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Cites18
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
- RingHom.idstatement · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- RingHomstatement · cited by 10,189
- Finsuppstatement and proof · cited by 5,255
- MvPolynomialstatement · cited by 2,140
- MulZeroClass.mul_zeroproof · cited by 2,091
- MvPowerSeriesstatement and proof · cited by 659
- MvPolynomial.Cstatement and proof · cited by 400
- MvPowerSeries.coeffproof · cited by 273
- mul_iteproof · cited by 159
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