mpullbackWithin_neg — Mathlib

English

In Euclidean setting, mpullbackWithin equals pullbackWithin: mpullbackWithin (modelWithCornersSelf 𝕜 E) (modelWithCornersSelf 𝕜 E') f V s = pullbackWithin 𝕜 f V s.

Русский

В евклидовом случае mpullbackWithin совпадает с pullbackWithin: mpullbackWithin (модель с правами) (модель с правами) f V s = pullbackWithin 𝕜 f V s.

LaTeX

$$$$ \mathrm{mpullbackWithin}\ I\ I'\ f\ V\ s = \mathrm{pullbackWithin}\ 𝕜\ f\ V\ s $$$$

Lean4

theorem mpullbackWithin_neg : mpullbackWithin I I' f (-V) s = -mpullbackWithin I I' f V s :=
  by
  ext x
  simp [mpullbackWithin_apply]

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