Theorems · Definition · commutative algebra
MvPowerSeries.C
{σ : Type u_1} → {R : Type u_2} → [inst : Semiring R] → R →+* MvPowerSeries σ RThe constant multivariate formal power series.
- Defined in
- Mathlib.RingTheory.MvPowerSeries.Basic
- Cited by
- 62 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idproof · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapproof · cited by 10,215
- RingHomstatement · cited by 10,189
- MvPowerSeriesstatement and proof · cited by 659
- AddHom.toFunproof · cited by 168
- LinearMap.toAddHomproof · cited by 165
- MvPowerSeries.monomialproof · cited by 69
Cited by64
Results whose statement or proof uses this declaration.
- PowerSeries.Cproof · cited by 76
- MvPowerSeries.coeff_expand_smulproof · cited by 7
- MvPowerSeries.coeff_Cstatement · cited by 6
- MvPowerSeries.coeff_expand_of_not_dvdproof · cited by 5
- MvPowerSeries.coeff_C_mulstatement and proof · cited by 4
- MvPowerSeries.smul_eq_C_mulstatement · cited by 4
- MvPowerSeries.monomial_zero_eq_Cstatement · cited by 3
- PowerSeries.monomial_zero_eq_Cproof · cited by 3
- MvPowerSeries.subst_zero_of_constantCoeff_zeroproof · cited by 3
- MvPowerSeries.truncFinset_Cstatement · cited by 3
- MvPowerSeries.X_pow_eqproof · cited by 3
- MvPowerSeries.algebraMap_applystatement and proof · cited by 3