Theorems · Definition · commutative algebra
MvPowerSeries.constantCoeff
{σ : Type u_1} → {R : Type u_2} → [inst : Semiring R] → MvPowerSeries σ R →+* RThe constant coefficient of a formal power series.
- Defined in
- Mathlib.RingTheory.MvPowerSeries.Basic
- Cited by
- 98 results in Mathlib
- Foundations
- Depth 93 from the axioms, rests on 2,224 definitions · 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.
- DFunLike.coeproof · cited by 62,936
- 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
- MvPowerSeries.coeffproof · cited by 273
- MvPowerSeries.coeff_zero_oneproof · cited by 0
Cited by109
Results whose statement or proof uses this declaration.
- PowerSeries.constantCoeffproof · cited by 126
- PowerSeries.HasSubstproof · cited by 67
- MvPowerSeries.constantCoeff_Xstatement · cited by 16
- MvPowerSeries.hasSubst_of_constantCoeff_zerostatement and proof · cited by 8
- MvPowerSeries.coeff_zero_eq_constantCoeff_applystatement · cited by 7
- MvPowerSeries.constantCoeff_subst_eq_zerostatement and proof · cited by 7
- PowerSeries.HasSubst.of_constantCoeff_zerostatement and proof · cited by 6
- MvPowerSeries.coeff_zero_eq_constantCoeffstatement · cited by 6
- MvPowerSeries.HasSubst.const_coeffstatement · cited by 5
- MvPowerSeries.hasSubst_iff_hasEval_of_discreteTopologyproof · cited by 5
- MvPowerSeries.inv_eq_zerostatement and proof · cited by 5
- FormalGroup.zero_constantCoeffstatement · cited by 5