Theorems · Theorem · commutative algebra
MvPowerSeries.monomial_pow
∀ {σ : Type u_1} {R : Type u_3} [inst : CommSemiring R] (m : σ →₀ ℕ) (a : R) (n : ℕ),
(MvPowerSeries.monomial m) a ^ n = (MvPowerSeries.monomial (n • m)) (a ^ n)- Defined in
- Mathlib.RingTheory.MvPowerSeries.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Finsuppstatement and proof · cited by 5,255
- Finset.prodproof · cited by 2,356
- Finset.rangeproof · cited by 1,341
- MvPowerSeriesstatement and proof · cited by 659
- MvPowerSeries.monomialstatement and proof · cited by 69
- Finset.pow_eq_prod_constproof · cited by 4
- Finset.nsmul_eq_sum_constproof · cited by 2
- MvPowerSeries.prod_monomialproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- PowerSeries.monomial_powproof · cited by 0