Theorems · Theorem · commutative algebra
MvPowerSeries.X_pow_eq
∀ {σ : Type u_1} {R : Type u_2} [inst : Semiring R] (s : σ) (n : ℕ),
MvPowerSeries.X s ^ n = (MvPowerSeries.monomial fun₀ | s => n) 1- Defined in
- Mathlib.RingTheory.MvPowerSeries.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 94 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.
Cites17
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
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- Finsuppproof · cited by 5,255
- one_mulproof · cited by 2,841
- pow_zeroproof · cited by 1,094
- Finsupp.singlestatement and proof · cited by 943
- map_oneproof · cited by 861
- MvPowerSeriesstatement and proof · cited by 659
- pow_succproof · cited by 374
- MvPowerSeries.Xstatement and proof · cited by 98
Cited by3
Results whose statement or proof uses this declaration.
- PowerSeries.X_pow_eqproof · cited by 4
- MvPowerSeries.coeff_X_powproof · cited by 1
- PowerSeries.toMvPowerSeries_coeff_eq_zeroproof · cited by 1