isClosed — Mathlib

English

If t ∈ closedCompactCylinders X, then the corresponding base set closedCompactCylinders.set ht is closed.

Русский

Если t ∈ closedCompactCylinders X, то соответствующее базисное множество closedCompactCylinders.set ht замкнуто.

LaTeX

$$$$t \\in \\text{closedCompactCylinders}(X) \\Rightarrow \\text{IsClosed}(\\text{closedCompactCylinders.set}(ht)).$$$$

Lean4

theorem isClosed (ht : t ∈ closedCompactCylinders X) : IsClosed (closedCompactCylinders.set ht) :=
  ((mem_closedCompactCylinders t).mp ht).choose_spec.choose_spec.1

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