Theorems · Theorem · commutative algebra
MvPolynomial.coe_monomial
∀ {σ : Type u_1} {R : Type u_2} [inst : CommSemiring R] (n : σ →₀ ℕ) (a : R),
↑((MvPolynomial.monomial n) a) = (MvPowerSeries.monomial n) a- Defined in
- Mathlib.RingTheory.MvPowerSeries.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 83 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.
Cites15
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
- Finsuppstatement and proof · cited by 5,255
- MvPolynomialstatement · cited by 2,140
- MvPowerSeriesstatement · cited by 659
- MvPowerSeries.coeffproof · cited by 273
- MvPolynomial.monomialstatement and proof · cited by 253
- MvPowerSeries.monomialstatement and proof · cited by 69
- MvPolynomial.toMvPowerSeriesstatement · cited by 59
- MvPowerSeries.extproof · cited by 58
Cited by5
Results whose statement or proof uses this declaration.
- MvPolynomial.coe_Xproof · cited by 4
- MvPolynomial.toMvPowerSeries_pUnitAlgEquivproof · cited by 3
- MvPolynomial.coe_Cproof · cited by 2
- MvPowerSeries.substAlgHom_monomialproof · cited by 2
- MvPolynomial.coe_oneproof · cited by 1