Theorems · Theorem · commutative algebra
MvPowerSeries.truncTotal_pow_eq_truncTotal_truncTotal_pow
∀ {σ : Type u_1} {R : Type u_2} {n m : ℕ} [inst : Finite σ] [inst_1 : CommSemiring R] (p : MvPowerSeries σ R),
(MvPowerSeries.truncTotal n) (p ^ m) = (MvPowerSeries.truncTotal n) (↑((MvPowerSeries.truncTotal n) p) ^ m)- Defined in
- Mathlib.RingTheory.MvPowerSeries.Trunc
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FiniteCommSemiring
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Cites17
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- 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
- Finitestatement and proof · cited by 3,029
- MvPolynomialstatement · cited by 2,140
- MvPowerSeriesstatement and proof · cited by 659
- not_ltproof · cited by 306
- MvPowerSeries.coeffproof · cited by 273
- Finsupp.degreeproof · cited by 94
- MvPolynomial.extproof · cited by 61
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