Theorems · Theorem · commutative algebra
MvPowerSeries.commute_X
∀ {σ : Type u_1} {R : Type u_2} [inst : Semiring R] (φ : MvPowerSeries σ R) (s : σ), Commute φ (MvPowerSeries.X s)- Defined in
- Mathlib.RingTheory.MvPowerSeries.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 91 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Finsuppproof · cited by 5,255
- MvPowerSeriesstatement and proof · cited by 659
- Commutestatement · cited by 639
- MvPowerSeries.coeffproof · cited by 273
- MvPowerSeries.Xstatement · cited by 98
- Commute.one_rightproof · cited by 22
- MvPowerSeries.commute_monomialproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- MvPowerSeries.commute_X_powproof · cited by 2
- MvPowerSeries.X_mulproof · cited by 1
- MvPowerSeries.coeff_zero_X_mulproof · cited by 0
- PowerSeries.commute_Xproof · cited by 0