mkDerivation_one_eq_derivative' — Mathlib

English

The derivation obtained from the unit in the polynomial ring coincides with the canonical derivative derivation.

Русский

Производная, получаемая от единицы кольца полиномов, совпадает с канонической производной.

LaTeX

$$$mkDerivation\ R (1 : R[X]) = derivative'$$$

Lean4

theorem mkDerivation_one_eq_derivative' : mkDerivation R (1 : R[X]) = derivative' :=
  by
  ext : 1
  simp [derivative']

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