lift_openEmbedding_symm — Mathlib

English

The symmetry of trans with a Homeomorph yields a simple equality: (e.lift_openEmbedding hf).symm = f ∘ e.symm.

Русский

Симметричный вид_trans_sвод с гомеоморфизмом даёт простое равенство: (e.lift_openEmbedding hf).symm = f ∘ e.symm.

LaTeX

$$$ (e.lift_openEmbedding hf).symm = f \circ e.symm $$$

Lean4

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

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