theorem extracted_formal_statement_116 {α : ℕ → ℕ} (monoa : StrictMono α) (m n : ℕ) (ieqq : m ≤ α n)
  (h_original_goal : α n + 1 ≤ α (n + 1)) : α n < α (n + 1) := sorry

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

Tactic: apply Nat.succ_le_iff.mpr

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

Relevant lemmas: