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Proof step 6 from proof longin-mult-01 (previous step)

~2147483648 ≤ i, i ≤ 2147483647, ~2147483648 ≤ j, j ≤ 2147483647 ⊦ ¬ i * j < ~9223372036854775808

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
i * j < ~9223372036854775808, ~2147483648 ≤ i, i ≤ 2147483647, ~2147483648 ≤ j, j ≤ 2147483647, i * j < 0 ⊦

Rule argument

Additional information

Used simplifier rules: numlsf: ⊦ i < (* j) ∧ j < 0 → i < 0; (forward) from specification int-basic1