Theorems · Theorem · commutative algebra
PowerSeries.HasSubst.comp
∀ {S : Type u_4} [inst : CommRing S] {υ : Type u_5} {T : Type u_6} [inst_1 : CommRing T] [inst_2 : Algebra S T]
{a : PowerSeries S},
PowerSeries.HasSubst a →
∀ {b : MvPowerSeries υ T} (hb : PowerSeries.HasSubst b), PowerSeries.HasSubst ((PowerSeries.substAlgHom hb) a)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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 and proof · cited by 797
- MvPowerSeriesstatement and proof · cited by 659
- PowerSeries.HasSubststatement and proof · cited by 67
- PowerSeries.substAlgHomstatement · cited by 16
- PowerSeries.HasSubst.constproof · cited by 15
- MvPowerSeries.IsNilpotent_substAlgHomproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- PowerSeries.substAlgHom_comp_substAlgHomstatement · cited by 2
- PowerSeries.subst_comp_substproof · cited by 1
- PowerSeries.substAlgHom_comp_substAlgHom_applystatement · cited by 0