liftPropAt_chart_symm — Mathlib

English

Similarly, LiftPropAt holds for the symmetric chart under the invariant property.

Русский

Аналогично, для симметричного чартa сохранено LiftPropAt.

LaTeX

$$LiftPropAt Q (chartAt (H := H) x).symm.toFun' (chartAt H x).toFun' x$$

Lean4

theorem liftPropAt_chart_symm [HasGroupoid M G] (hG : G.LocalInvariantProp G Q) (hQ : ∀ y, Q id univ y) :
    LiftPropAt Q (chartAt (H := H) x).symm ((chartAt H x) x) :=
  hG.liftPropAt_symm_of_mem_maximalAtlas hQ (chart_mem_maximalAtlas G x) (by simp)

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