theorem extracted_formal_statement_117 {α : ℕ → ℕ} (monoa : StrictMono α) (m n : ℕ) (ieqq : m ≤ α n)
  (h_original_goal : α n < α (n + 1)) : n < n + 1 := sorry

State before:
α : ℕ → ℕ
monoa : StrictMono α
m n : ℕ
ieqq : m ≤ α n
⊢ α n < α (n + 1)

Tactic: apply monoa

State after:
[case a
 α : ℕ → ℕ
 monoa : StrictMono α
 m n : ℕ
 ieqq : m ≤ α n
 ⊢ n < n + 1]

Relevant lemmas: