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Proof step 7 from proof square-neq-prime (previous step)

j * j = i * j0 * j0, prime(i), j ≠ 0 ∨ j0 ≠ 0 ⊦ j ≤ 0, 0 < j ∧ 0 ≤ j0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
j * j = i * j0 * j0, j0 < 0, 0 < j, prime(i) ⊦ j = 0

Rule argument

Additional information

Used simplifier rules: commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs%forward-le-02: ⊦ j < i ∧ i ≤ 0 → j < 0; (forward) from specification int-abs% ⊦ i ≤ j ↔ ¬ j < i; (ss)