degree_monomial — Mathlib

English

For monomial d and coefficient c, the degree is bounded by d, with a condition on c.

Русский

Для монома d и коэффициента c степень ограничена d, с условием на c.

LaTeX

$$$m.degree( monomial d c) \\preceq_{m} d$ with simple case$$

Lean4

theorem degree_monomial {d : σ →₀ ℕ} (c : R) [Decidable (c = 0)] : m.degree (monomial d c) = if c = 0 then 0 else d :=
  by
  simp only [degree, support_monomial]
  split_ifs with hc <;> simp

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