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Proof step 20 from proof longin-mult-01 (previous step)

~2147483648 ≤ i, i ≤ 2147483647, ~2147483648 ≤ j, j ≤ 2147483647 ⊦ ¬ 9223372036854775807 < i * j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 21:
0 < i * j, j ≤ 2147483647, ~2147483648 ≤ j, i ≤ 2147483647, ~2147483648 ≤ i, 9223372036854775807 < i * j ⊦

Rule argument

Additional information

Used simplifier rules: numlslsdel-01: i0 ≠ 0, i0 < i ⊦ (* i) < j → (* i0) < j; from specification int-basic1%forward-pos: ⊦ i < j ∧ 0 < i → 0 < j ∧ 1 < j; (forward) from specification int-basic1%forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs