Theorems · Theorem · commutative algebra
PowerSeries.subst_mul
∀ {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 →
∀ (f g : PowerSeries R), PowerSeries.subst a (f * g) = PowerSeries.subst a f * PowerSeries.subst a g- Cited by
- 0 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- Algebrastatement and proof · cited by 11,388
- map_mulproof · cited by 1,137
- PowerSeriesstatement and proof · cited by 797
- MvPowerSeriesstatement and proof · cited by 659
- PowerSeries.HasSubststatement and proof · cited by 67
- PowerSeries.subststatement · cited by 58
- PowerSeries.substAlgHomproof · cited by 16
- PowerSeries.coe_substAlgHomproof · cited by 12
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