Theorems · Theorem · commutative algebra
MvPolynomial.coeff_coe
∀ {σ : Type u_1} {R : Type u_2} [inst : CommSemiring R] (φ : MvPolynomial σ R) (n : σ →₀ ℕ),
(MvPowerSeries.coeff n) ↑φ = MvPolynomial.coeff n φ- Defined in
- Mathlib.RingTheory.MvPowerSeries.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Finsuppstatement and proof · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- MvPowerSeriesstatement · cited by 659
- MvPolynomial.coeffstatement · cited by 315
- MvPowerSeries.coeffstatement · cited by 273
- MvPolynomial.toMvPowerSeriesstatement · cited by 59
Cited by5
Results whose statement or proof uses this declaration.
- MvPolynomial.coe_monomialproof · cited by 5
- MvPowerSeries.HasSubst.truncTotalproof · cited by 3
- MvPowerSeries.truncTotal_subst_eq_truncTotal_sum_subst_truncTotal_of_leproof · cited by 2
- MvPowerSeries.expand_eq_expandproof · cited by 2
- MvPowerSeries.WithPiTopology.tendsto_trunc_atTopproof · cited by 0