Theorems · Theorem · field theory
Polynomial.toLaurent_C_mul_eq
∀ {R : Type u_1} [inst : Semiring R] (r : R) (f : Polynomial R),
Polynomial.toLaurent (Polynomial.C r * f) = LaurentPolynomial.C r * Polynomial.toLaurent f- Defined in
- Mathlib.Algebra.Polynomial.Laurent
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 102 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- Polynomial.Cstatement and proof · cited by 1,598
- map_mulproof · cited by 1,137
- LaurentPolynomialstatement · cited by 98
- LaurentPolynomial.Cstatement and proof · cited by 47
- Polynomial.toLaurentstatement and proof · cited by 29
- Polynomial.toLaurent_Cproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- LaurentPolynomial.toLaurent_reverseproof · cited by 1
- LaurentPolynomial.exists_T_powproof · cited by 1