lift_openEmbedding_target — Mathlib

English

The equality between transHomeomorph and trans respects trans equality: e.transHomeomorph f' = e.trans f'.toOpenPartialHomeomorph.

Русский

Сохранение равенства между transHomeomorph и trans при равенстве trans: e.transHomeomorph f' = e.trans f'.toOpenPartialHomeomorph.

LaTeX

$$$ e.transHomeomorph f' = e.trans f'.toOpenPartialHomeomorph $$$

Lean4

@[simp, mfld_simps]
theorem lift_openEmbedding_target (e : OpenPartialHomeomorph X Z) (hf : IsOpenEmbedding f) :
    (e.lift_openEmbedding hf).target = e.target :=
  rfl

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