stabilizerEquivStabilizer_symm — Mathlib

English

The inverse of stabilizerEquivStabilizer hg is stabilizerEquivStabilizer with eq_inv_smul_iff.mpr hg.symm.

Русский

Обратное отображение stabilizerEquivStabilizer hg равно stabilizerEquivStabilizer hg.symm через eq_inv_smul_iff.

LaTeX

$$stabilizerEquivStabilizer hg).symm = stabilizerEquivStabilizer (eq_inv_smul_iff.mpr hg.symm)$$

Lean4

theorem stabilizerEquivStabilizer_symm (hg : b = g • a) :
    (stabilizerEquivStabilizer hg).symm = stabilizerEquivStabilizer (eq_inv_smul_iff.mpr hg.symm) := by ext x;
  simp [stabilizerEquivStabilizer]

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