Theorems · Theorem · commutative algebra
MvPowerSeries.trunc_C
∀ {σ : Type u_1} {R : Type u_2} [inst : DecidableEq σ] [inst_1 : CommSemiring R] (n : σ →₀ ℕ),
n ≠ 0 → ∀ (a : R), (MvPowerSeries.trunc R n) (MvPowerSeries.C a) = MvPolynomial.C a- Defined in
- Mathlib.RingTheory.MvPowerSeries.Trunc
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqCommSemiring
Around this declaration
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- RingHomstatement · cited by 10,189
- Finsuppstatement and proof · cited by 5,255
- MvPolynomialstatement · cited by 2,140
- MvPowerSeriesstatement · cited by 659
- MvPolynomial.Cstatement · cited by 400
- MvPowerSeries.Cstatement · cited by 62
- pos_of_ne_zeroproof · cited by 21
- MvPowerSeries.truncstatement · cited by 9
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