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theorem proved term proof

finite_resolution_event_in_finite

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formal statement (Lean)

  47theorem finite_resolution_event_in_finite (c : C)
  48    (h : HasFiniteLocalResolution L r c) :
  49    ∃ S : Set E, S.Finite ∧ r.R c ∈ S := by

proof body

Term-mode proof.

  50  obtain ⟨U, hU, hfin⟩ := h
  51  exact ⟨r.R '' U, hfin, ⟨c, L.mem_of_mem_N c U hU, rfl⟩⟩
  52
  53/-- Finite resolution is inherited by smaller neighborhoods -/

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