Theorems · Definition · commutative algebra
MvPolynomial.coeToMvPowerSeries.ringHom
{σ : Type u_1} → {R : Type u_2} → [inst : CommSemiring R] → MvPolynomial σ R →+* MvPowerSeries σ RThe coercion from multivariate polynomials to multivariate power series as a ring homomorphism.
- Defined in
- Mathlib.RingTheory.MvPowerSeries.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 93 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement · cited by 2,140
- MvPowerSeriesstatement · cited by 659
- MvPolynomial.coe_mulproof · cited by 1
- MvPolynomial.coe_oneproof · cited by 1
- MvPolynomial.coe_zeroproof · cited by 1
- MvPolynomial.coe_addproof · cited by 0
Cited by4
Results whose statement or proof uses this declaration.
- MvPowerSeries.monomial_one_eqproof · cited by 3
- MvPolynomial.coeToMvPowerSeries.algHomproof · cited by 2
- MvPolynomial.coe_powproof · cited by 1
- MvPolynomial.coeToMvPowerSeries.ringHom_applystatement · cited by 0