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theorem proved term proof

CE_strictMono

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formal statement (Lean)

  74private theorem CE_strictMono : ∀ m, StrictMono (CE f c R hf m) := by

proof body

Term-mode proof.

  75  intro m; induction m with
  76  | zero =>
  77    exact (bounded_subseq_tendsto (fun n => f n 0) c R (fun n => hf n 0)).choose_spec.choose_spec.1
  78  | succ k ih =>
  79    rw [CE_succ]; exact ih.comp (LE_strictMono f c R hf k)
  80

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