cast_ofScientific — Mathlib

English

Casting a scientific literal through any NN (nonnegative) rational type is consistent across embeddings.

Русский

Переход через NN-область сохраняет число при преобразовании научной записи.

LaTeX

$$$$\\text{NNRat.cast}(\\text{toOfScientific}.ofScientific(m,s,e)) = \\text{NNRat.cast}(\\text{toOfScientific}.ofScientific(m,s,e)).$$$$

Lean4

/-- Casting a scientific literal via `ℚ≥0` is the same as casting directly. -/
@[simp, norm_cast]
theorem _root_.NNRat.cast_ofScientific {K} [NNRatCast K] (m : ℕ) (s : Bool) (e : ℕ) :
    (OfScientific.ofScientific m s e : ℚ≥0) = (OfScientific.ofScientific m s e : K) :=
  rfl

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