Theorems · Theorem · field theory
Polynomial.toLaurent_C_mul_T
∀ {R : Type u_1} [inst : Semiring R] (n : ℕ) (r : R),
Polynomial.toLaurent ((Polynomial.monomial n) r) = LaurentPolynomial.C r * LaurentPolynomial.T ↑n- Defined in
- Mathlib.Algebra.Polynomial.Laurent
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 98 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.
Cites21
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
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- RingHomstatement · cited by 10,189
- Polynomialstatement · cited by 5,681
- Polynomial.monomialstatement and proof · cited by 256
- AddMonoidAlgebra.singleproof · cited by 250
- AddMonoidHomClass.toAddMonoidHomproof · cited by 232
- eq_natCastproof · cited by 104
- LaurentPolynomialstatement · cited by 98
- LaurentPolynomial.Tstatement and proof · cited by 55
Cited by4
Results whose statement or proof uses this declaration.
- Polynomial.toLaurent_Cproof · cited by 6
- Polynomial.toLaurent_Xproof · cited by 3
- LaurentPolynomial.leftInverse_trunc_toLaurentproof · cited by 2
- LaurentPolynomial.eval₂_C_mul_T_nproof · cited by 0