mpullbackWithin_add — Mathlib

English

The pullback is compatible with scalar negation: mpullbackWithin I I' f (−V) s x = − mpullbackWithin I I' f V s x.

Русский

Вытягивание совместимо с отрицанием вектора: mpullbackWithin I I' f (−V) s x = − mpullbackWithin I I' f V s x.

LaTeX

$$$$ \mathrm{mpullbackWithin}\ I\ I'\ f (-V)\ s\ x = -\mathrm{mpullbackWithin}\ I\ I'\ f V\ s\ x $$$$

Lean4

theorem mpullbackWithin_add :
    mpullbackWithin I I' f (V + V₁) s = mpullbackWithin I I' f V s + mpullbackWithin I I' f V₁ s :=
  by
  ext x
  simp [mpullbackWithin_apply]

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