chainBotCoeff_le_chainLength — Mathlib

English

The chainTopCoeff and chainBotCoeff together determine the full chain length: chainTopCoeff α β + chainBotCoeff α β = chainLength α β.

Русский

Совокупность chainTopCoeff и chainBotCoeff определяет общую длину цепи: chainTopCoeff α β + chainBotCoeff α β = chainLength α β.

LaTeX

$$$\operatorname{chainTopCoeff}(\alpha, \beta) + \operatorname{chainBotCoeff}(\alpha, \beta) = \operatorname{chainLength}(\alpha, \beta)$$$

Lean4

theorem chainBotCoeff_le_chainLength : chainBotCoeff α β ≤ chainLength α β :=
  (Nat.le_add_left _ _).trans_eq (chainTopCoeff_add_chainBotCoeff α β)

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