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Proof step 4 from proof minus-one-even (previous step)

2 ≠ 0, ∃ j0. j = j0 * 2, 0 < j ⊦ ~1 ^ j = 1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
0 < j0 ⊦ ~1 ^ (j0 * 2) = 1

Rule argument

Additional information

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