LaurentPolynomial — Mathlib

English

Another variant of the induction principle for polynomials with nonzero natDegree, treating similar base and inductive steps as above.

Русский

Ещё один вариант индукции по полиномам с ненулевой natDegree, аналогично предыдущему.

LaTeX

$$$\\text{natDegree\\_ne\\_zero\\_induction\\_on} \\;\\text{(alternative form)}.$$$

Lean4

/-- The semiring of Laurent polynomials with coefficients in the semiring `R`.
We denote it by `R[T;T⁻¹]`.
The ring homomorphism `C : R →+* R[T;T⁻¹]` includes `R` as the constant polynomials. -/
abbrev LaurentPolynomial (R : Type*) [Semiring R] :=
  AddMonoidAlgebra R ℤ

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