Theorems · Theorem · ring theory
SkewPolynomial.coeff_one
∀ {R : Type u_1} [inst : Semiring R] [MulSemiringAction (Multiplicative ℕ) R] (n : ℕ),
SkewPolynomial.coeff 1 n = if 0 = n then 1 else 0- Defined in
- Mathlib.Algebra.SkewPolynomial.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringMulSemiringAction
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Multiplicativestatement and proof · cited by 875
- map_oneproof · cited by 861
- MulSemiringActionstatement and proof · cited by 423
- SkewPolynomialstatement and proof · cited by 124
- SkewPolynomial.monomialproof · cited by 49
- SkewPolynomial.coeffstatement and proof · cited by 37
- SkewPolynomial.CRingHomproof · cited by 10
- SkewPolynomial.coeff_monomialproof · cited by 8
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