Theorems · Definition · commutative algebra
PowerSeries.substAlgHom
{R : Type u_2} →
[inst : CommRing R] →
{τ : Type u_3} →
{S : Type u_4} →
[inst_1 : CommRing S] →
[inst_2 : Algebra R S] →
{a : MvPowerSeries τ S} → PowerSeries.HasSubst a → PowerSeries R →ₐ[R] MvPowerSeries τ SSubstitution of power series into a power series, as an AlgHom.
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- AlgHomstatement · cited by 3,236
- PowerSeriesstatement · cited by 797
- MvPowerSeriesstatement and proof · cited by 659
- PowerSeries.HasSubststatement and proof · cited by 67
- MvPowerSeries.substAlgHomproof · cited by 24
- PowerSeries.HasSubst.constproof · cited by 15
Cited by16
Results whose statement or proof uses this declaration.
- PowerSeries.coe_substAlgHomstatement · cited by 12
- PowerSeries.HasSubst.compstatement · cited by 3
- PowerSeries.substAlgHom_Xstatement and proof · cited by 2
- PowerSeries.substAlgHom_coestatement and proof · cited by 2
- PowerSeries.substAlgHom_comp_substAlgHomstatement · cited by 2
- PowerSeries.substAlgHom_eq_aevalstatement · cited by 2
- FormalGroup.Xzero_subst_Xzeroproof · cited by 1
- PowerSeries.subst_comp_substproof · cited by 1
- PowerSeries.subst_smulproof · cited by 1
- FormalGroup.zeroX_subst_zeroXproof · cited by 1
- PowerSeries.substAlgHom.congr_simpstatement and proof · cited by 1
- PowerSeries.substAlgHom_comp_substAlgHom_applystatement · cited by 0