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Proof step 1 from proof not-prime (conclusion)

¬ prime(n), 2 ≤ n ⊦ ∃ m. m | n ∧ prime(m) ∧ m * m ≤ n

User applied rule induction

And obtained the following new goals

Proof step 2:
¬ prime(n) ∧ 2 ≤ n, ∀ n0. n0 < n → ¬ prime(n0) ∧ 2 ≤ n0 → (∃ m. m | n0 ∧ prime(m) ∧ m * m ≤ n0) ⊦ ∃ m. m | n ∧ prime(m) ∧ m * m ≤ n

Rule argument

indvar: n wfpred: <

Additional information

Used simplifier rules: <; (wellfounded) Used terms: n