Theorems · Theorem · field theory
LaurentPolynomial.support_coeff_C_mul_T_of_ne_zero
∀ {R : Type u_1} [inst : Semiring R] {a : R},
a ≠ 0 → ∀ (n : ℤ), (LaurentPolynomial.C a * LaurentPolynomial.T n).coeff.support = {n}- Defined in
- Mathlib.Algebra.Polynomial.Laurent
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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 · cited by 13,712
- RingHomstatement · cited by 10,189
- Finsupp.supportstatement and proof · cited by 828
- AddMonoidAlgebra.coeffstatement and proof · cited by 365
- LaurentPolynomialstatement and proof · cited by 98
- LaurentPolynomial.Tstatement · cited by 55
- LaurentPolynomial.Cstatement · cited by 47
- Finsupp.support_singleproof · cited by 39
- LaurentPolynomial.single_eq_C_mul_Tproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- LaurentPolynomial.degree_C_mul_Tproof · cited by 4
- LaurentPolynomial.support_C_mul_T_of_ne_zeroproof · cited by 0