monomial — Mathlib

English

Another standard monomial restriction: monomial n a is IsRestricted for parameter c.

Русский

Ещё одно стандартное ограничение монома: monomial n a ограничено по c.

LaTeX

$$$\mathrm{IsRestricted}(c, \mathrm{monomial}_n(a))$$$

Lean4

theorem monomial (n : ℕ) (a : R) : IsRestricted c (monomial n a) :=
  by
  simp only [monomial_eq_mk, isRestricted_iff, coeff_mk, norm_mul, norm_pow, Real.norm_eq_abs, abs_norm]
  refine fun _ _ ↦ ⟨n + 1, fun _ _ ↦ ?_⟩
  split
  · omega
  · simpa

Похожие утверждения