Theorems · Definition · commutative algebra
PowerSeries.HasSubst
{τ : Type u_3} → {S : Type u_4} → [CommRing S] → MvPowerSeries τ S → Prop(Possibly multivariate) power series which can be substituted in a PowerSeries.
- Cited by
- 67 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- MvPowerSeriesstatement and proof · cited by 659
- IsNilpotentproof · cited by 248
- MvPowerSeries.constantCoeffproof · cited by 98
Cited by70
Results whose statement or proof uses this declaration.
- PowerSeries.substAlgHomstatement and proof · cited by 16
- PowerSeries.HasSubst.conststatement and proof · cited by 15
- PowerSeries.coe_substAlgHomstatement and proof · cited by 12
- PowerSeries.HasSubst.of_constantCoeff_zero'statement · cited by 7
- PowerSeries.subst_Xstatement and proof · cited by 7
- PowerSeries.HasSubst.of_constantCoeff_zerostatement · cited by 6
- PowerSeries.hasSubst_iffstatement and proof · cited by 6
- PowerSeries.HasSubst.Xstatement · cited by 5
- PowerSeries.coeff_subststatement and proof · cited by 4
- PowerSeries.coeff_subst'statement and proof · cited by 4
- PowerSeries.subst_comp_subst_applystatement and proof · cited by 4
- PowerSeries.HasSubst.compstatement and proof · cited by 3