mk'_one_X — Mathlib

English

The specialization n = 1 yields mk'_one_X: IsLocalization.mk' R[T;T⁻¹] 1 (⟨X, 1, pow_one X⟩) = T(-1).

Русский

Специальный случай n = 1: mk'_one_X: IsLocalization.mk'(R[T;T^{-1}]) 1 (⟨X, 1, pow_one X⟩) = T^{-1}.

LaTeX

$$$\\mathrm{mk'}(1, \\langle X, 1, \\mathrm{pow\\_one}\;X\\rangle) = T^{-1}.$$$

Lean4

@[simp]
theorem mk'_one_X : IsLocalization.mk' R[T;T⁻¹] 1 (⟨X, 1, pow_one X⟩ : Submonoid.powers (X : R[X])) = T (-1) :=
  by
  convert mk'_one_X_pow 1
  exact (pow_one X).symm

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