instIsContinuous — Mathlib

English

An instance of isContinuous for G is established from the previous compatibility and cover-dense properties.

Русский

Устанавливается экземпляр непрерывности для G на основе совместимости и плотности покрытия.

LaTeX

$$$[G.IsContinuous J K]$$$

Lean4

instance (priority := 900) : G.IsContinuous J K :=
  letI := IsDenseSubsite.isCoverDense J K G
  letI := IsDenseSubsite.isLocallyFull J K G
  letI := IsDenseSubsite.isLocallyFaithful J K G
  IsCoverDense.isContinuous J K G (IsDenseSubsite.coverPreserving J K G)

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