liftCover_restrict — Mathlib

English

Restricting the glued map to S_i recovers φ_i: (liftCover S φ hφ hS).restrict(S_i) = φ_i.

Русский

Ограничивая склеенное отображение к S_i, получаем φ_i: (liftCover S φ hφ hS).restrict(S_i) = φ_i.

LaTeX

$$$\\mathrm{restrict}\\ (S_i)\\ (\\mathrm{liftCover}\\ S\\ φ\\ hφ\\ hS) = φ_i$$$

Lean4

@[simp]
theorem liftCover_restrict {i : ι} : (liftCover S φ hφ hS).restrict (S i) = φ i :=
  by
  ext
  simp only [coe_restrict, Function.comp_apply, liftCover_coe]

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