Theorems · Theorem · commutative algebra
MvPowerSeries.map_expand
∀ {σ : Type u_1} {R : Type u_3} {S : Type u_4} [inst : CommRing R] [inst_1 : CommRing S] (p : ℕ) (hp : p ≠ 0)
(f : R →+* S) (φ : MvPowerSeries σ R),
(MvPowerSeries.map f) ((MvPowerSeries.expand p hp) φ) = (MvPowerSeries.expand p hp) ((MvPowerSeries.map f) φ)- Defined in
- Mathlib.RingTheory.MvPowerSeries.Expand
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement and proof · cited by 10,189
- AlgHomstatement · cited by 3,236
- MvPowerSeriesstatement and proof · cited by 659
- map_powproof · cited by 503
- MvPowerSeries.Xproof · cited by 98
- MvPowerSeries.substproof · cited by 73
- MvPowerSeries.mapstatement and proof · cited by 34
- MvPowerSeries.expandstatement · cited by 28
- MvPowerSeries.substAlgHom_applyproof · cited by 21
- MvPowerSeries.HasSubst.X_powproof · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- MvPowerSeries.map_frobenius_expandproof · cited by 1
- PowerSeries.map_expandproof · cited by 0