symm_toOpenPartialHomeomorph — Mathlib

English

Equality of the composed open partial homeomorphisms equals the composition of their corresponding open partial homeomorphs.

Русский

Равенство композиций OpenPartialHomeomorph равняется композиции соответствующих OpenPartialHomeomorph.

LaTeX

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

Lean4

@[simp, mfld_simps]
theorem symm_toOpenPartialHomeomorph : e.symm.toOpenPartialHomeomorph = e.toOpenPartialHomeomorph.symm :=
  rfl

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