Theorems · Theorem · commutative algebra
MvPowerSeries.commute_X_pow
∀ {σ : Type u_1} {R : Type u_2} [inst : Semiring R] (φ : MvPowerSeries σ R) (s : σ) (n : ℕ),
Commute φ (MvPowerSeries.X s ^ n)- Defined in
- Mathlib.RingTheory.MvPowerSeries.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- MvPowerSeriesstatement and proof · cited by 659
- Commutestatement · cited by 639
- MvPowerSeries.Xstatement · cited by 98
- Commute.pow_rightproof · cited by 12
- MvPowerSeries.commute_Xproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- MvPowerSeries.X_pow_mulproof · cited by 1
- PowerSeries.commute_X_powproof · cited by 1