Theorems · Theorem · commutative algebra
PowerSeries.coe_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} (ha : PowerSeries.HasSubst a), ⇑(PowerSeries.substAlgHom ha) = PowerSeries.subst a- Cited by
- 12 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- 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
- PowerSeries.subststatement · cited by 58
- PowerSeries.substAlgHomstatement · cited by 16
- MvPowerSeries.coe_substAlgHomproof · cited by 15
- PowerSeries.HasSubst.constproof · cited by 15
Cited by12
Results whose statement or proof uses this declaration.
- PowerSeries.subst_Xproof · cited by 7
- FormalGroup.Xzero_subst_Xzeroproof · cited by 1
- FormalGroup.zeroX_subst_zeroXproof · cited by 1
- PowerSeries.subst_coeproof · cited by 1
- PowerSeries.subst_comp_substproof · cited by 1
- PowerSeries.subst_smulproof · cited by 1
- PowerSeries.subst_subproof · cited by 0
- PowerSeries.subst_tsumproof · cited by 0
- PowerSeries.summable_substproof · cited by 0
- PowerSeries.subst_addproof · cited by 0
- PowerSeries.subst_mulproof · cited by 0
- PowerSeries.subst_powproof · cited by 0