Theorems · Theorem · commutative algebra
MvPowerSeries.totalDegree_truncTotal_lt
∀ {σ : Type u_1} {R : Type u_2} {n : ℕ} [inst : Finite σ] [inst_1 : CommSemiring R] (p : MvPowerSeries σ R),
n ≠ 0 → ((MvPowerSeries.truncTotal n) p).totalDegree < n- Defined in
- Mathlib.RingTheory.MvPowerSeries.Trunc
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FiniteCommSemiring
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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
- Finsetproof · cited by 13,712
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
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- MvPolynomialstatement · cited by 2,140
- LE.le.trans_ltproof · cited by 795
- MvPowerSeriesstatement and proof · cited by 659
- Set.Finite.toFinsetproof · cited by 351
- Finsupp.degreeproof · cited by 94
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