Theorems · Theorem · ring theory
SkewPolynomial.coeff_ofNat_succ
∀ {R : Type u_1} [inst : Semiring R] [MulSemiringAction (Multiplicative ℕ) R] (a n : ℕ) [h : a.AtLeastTwo],
(OfNat.ofNat a).coeff (n + 1) = 0- Defined in
- Mathlib.Algebra.SkewPolynomial.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Nat.cast_zeroproof · cited by 1,870
- Multiplicativestatement and proof · cited by 875
- MulSemiringActionstatement and proof · cited by 423
- Nat.AtLeastTwostatement and proof · cited by 405
- SkewPolynomialstatement and proof · cited by 124
- SkewPolynomial.coeffstatement and proof · cited by 37
- Nat.cast_ofNatproof · cited by 28
- SkewPolynomial.coeff_natCast_iteproof · cited by 2
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