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Proof step 9 from proof not-prime (previous step)

m | n, m * m ≤ n, 2 ≤ n, ∀ n0. n0 < n → 2 ≤ n0 → prime(n0) ∨ (∃ m. m | n0 ∧ prime(m) ∧ m * m ≤ n0) ⊦ m = 1, m = n, n = 1, n = 0, ∃ m. m | n ∧ prime(m) ∧ m * m ≤ n, m | n ∧ prime(m) ∧ m * m ≤ n

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
m | n, 2 ≤ n, m * m ≤ n, ∀ n0. n0 < n → 2 ≤ n0 → prime(n0) ∨ (∃ m. m | n0 ∧ prime(m) ∧ m * m ≤ n0) ⊦ m = n, m = 1, n = 0, n = 1, prime(m), ∃ m. m | n ∧ prime(m) ∧ m * m ≤ n

Proof step 9 from proof not-prime (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information