toContinuousLinearEquiv_opLinearIsometryEquiv

English

The toContinuousLinearEquiv of the isometry equals the canonical continuous linear equivalence.

Русский

toContinuousLinearEquiv изометрии совпадает с каноническим непрерывно линейным эквив.

LaTeX

$$toContinuousLinearEquiv (opLinearIsometryEquiv 𝕜 H) = opContinuousLinearEquiv 𝕜$$

Lean4

@[simp]
theorem toContinuousLinearEquiv_opLinearIsometryEquiv :
    (opLinearIsometryEquiv 𝕜 H).toContinuousLinearEquiv = opContinuousLinearEquiv 𝕜 :=
  rfl

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