Theorems · Theorem · commutative algebra
PowerSeries.map_subst
∀ {R : Type u_2} [inst : CommRing R] {τ : Type u_3} {S : Type u_4} [inst_1 : CommRing S] {a : MvPowerSeries τ R},
PowerSeries.HasSubst a →
∀ {h : R →+* S} (f : PowerSeries R),
(MvPowerSeries.map h) (PowerSeries.subst a f) =
PowerSeries.subst ((MvPowerSeries.map h) a) ((PowerSeries.map h) f)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- RingHomstatement and proof · cited by 10,189
- PowerSeriesstatement and proof · cited by 797
- MvPowerSeriesstatement and proof · cited by 659
- PowerSeries.mapstatement · cited by 82
- PowerSeries.HasSubststatement and proof · cited by 67
- PowerSeries.subststatement · cited by 58
- MvPowerSeries.mapstatement · cited by 34
- PowerSeries.HasSubst.constproof · cited by 15
- MvPowerSeries.map_substproof · cited by 2
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