fromOpenSubsetsGlue_isOpenEmbedding

English

FromOpenSubsetsGlue is an open embedding, combining openness with injectivity.

Русский

FromOpenSubsetsGlue является открытым вложением, сочетая открытость и инъекцию.

LaTeX

$$fromOpenSubsetsGlue is an open embedding$$

Lean4

theorem fromOpenSubsetsGlue_isOpenEmbedding : IsOpenEmbedding (fromOpenSubsetsGlue U) :=
  .of_continuous_injective_isOpenMap (ContinuousMap.continuous_toFun _) (fromOpenSubsetsGlue_injective U)
    (fromOpenSubsetsGlue_isOpenMap U)

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