toNonemptyCompacts — Mathlib

English

Reinterpret a PositiveCompacts α as a NonemptyCompacts α by pairing its underlying compact with its nonemptiness.

Русский

Преобразовать PositiveCompacts α в NonemptyCompacts α, pairing компакт с его непустостью.

LaTeX

$$$ \text{toNonemptyCompacts}(s) = \langle s.toCompacts, s.nonempty \rangle.$$$

Lean4

/-- Reinterpret a positive compact as a nonempty compact. -/
def toNonemptyCompacts (s : PositiveCompacts α) : NonemptyCompacts α :=
  ⟨s.toCompacts, s.nonempty⟩

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