gc_nhdsKer_interior — Mathlib

English

The function nhdsKer and interior form a Galois connection: nhdsKer ⊆ t corresponds to t’s interior relation with nhdsKer.

Русский

Функции nhdsKer и interior образуют связь Гало: отношение nhdsKer ⊆ t эквивалентно связи interior между t и nhdsKer.

LaTeX

$$GaloisConnection (nhdsKer : Set α → Set α) interior$$

Lean4

theorem gc_nhdsKer_interior : GaloisConnection (nhdsKer : Set α → Set α) interior := fun s t ↦ by
  simp [nhdsKer_subset_iff, subset_interior_iff]

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