shortAddLongRoot_shortRoot — Mathlib

English

The list allRoots equals the coefficients map from allCoeffs applied to the base pair (shortRoot, longRoot).

Русский

Список allRoots равен отображению коэффициентов allCoeffs на базовую пару (shortRoot, longRoot).

LaTeX

$$$\text{allRoots}(P) = \text{List.map}(\text{coeff map},\text{allCoeffs})$$$

Lean4

/-- `α + β` is short. -/
@[simp]
theorem shortAddLongRoot_shortRoot :
    B.form (shortAddLongRoot P) (shortAddLongRoot P) = B.form (shortRoot P) (shortRoot P) := by
  simp [shortAddLongRoot, shortAddLong]

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