Theorems · Theorem · ring theory
SkewPolynomial.support_C_mul_X_pow
∀ {R : Type u_1} [inst : Semiring R] [inst_1 : MulSemiringAction (Multiplicative ℕ) R] (n : ℕ) {c : R},
c ≠ 0 → (SkewPolynomial.C c * SkewPolynomial.X ^ n).support = {n}- Defined in
- Mathlib.Algebra.SkewPolynomial.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringMulSemiringAction
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Finsetstatement and proof · cited by 13,712
- AddMonoidHomstatement · cited by 3,230
- Multiplicativestatement and proof · cited by 875
- MulSemiringActionstatement and proof · cited by 423
- SkewPolynomialstatement and proof · cited by 124
- SkewPolynomial.Cstatement · cited by 32
- SkewPolynomial.supportstatement and proof · cited by 30
- SkewPolynomial.Xstatement · cited by 27
- SkewPolynomial.support_monomialproof · cited by 4
- SkewPolynomial.C_mul_X_pow_eq_monomialproof · cited by 3
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