signedDist_vadd_right — Mathlib

English

The right translation by w adds a linear term: signedDist v p (w + q) = ⟨normalize(v), w⟩ + signedDist v p q.

Русский

Правое передвижение на w добавляет линейный член: signedDist v p (w + q) = ⟨normalize(v), w⟩ + signedDist v p q.

LaTeX

$$signedDist v p (w+ q) = ⟨\operatorname{normalize}(v), w\rangle + signedDist v p q$$

Lean4

theorem signedDist_vadd_right : signedDist v p (w +ᵥ q) = ⟪normalize v, w⟫ + signedDist v p q := by
  simp [signedDist_apply_linear_apply]
    -- TODO: find a better name for these 2 lemmas

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