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Proof step 7 from proof longin-mult-01 (previous step)

i * j < ~9223372036854775808, ~2147483648 ≤ i, i ≤ 2147483647, ~2147483648 ≤ j, j ≤ 2147483647, i * j < 0 ⊦

User applied rule cut formula

And obtained the following new goals

Proof step 8:
i < 0, i * j < ~9223372036854775808, ~2147483648 ≤ i, i ≤ 2147483647, ~2147483648 ≤ j, j ≤ 2147483647, i * j < 0 ⊦
Proof step 15:
i * j < ~9223372036854775808, ~2147483648 ≤ i, i ≤ 2147483647, ~2147483648 ≤ j, j ≤ 2147483647, i * j < 0 ⊦ i < 0

Rule argument

fma: i < 0

Additional information

Used formulas: i < 0