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Proof step 31 from proof longin-mult-01 (previous step)

9223372036854775807 < i * j, ~2147483648 ≤ i, ~2147483648 ≤ j, i < 0, j < 0 ⊦ j = 0, ¬ i < ~2147483647 ∧ ¬ j < ~2147483647

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 32:
⊦ i < j ↔ i + 1 ≤ j
Proof step 33:
9223372036854775807 < i * j, ~2147483648 ≤ i, ~2147483648 ≤ j, i < 0, j < 0 ⊦ j = 0, ¬ i + 1 ≤ ~2147483647 ∧ ¬ j < ~2147483647

Rule argument

spec: int-abs inst: name: ls-rew-succ seq: ⊦ i < j ↔ i + 1 ≤ j subst: [j, i] → [~2147483647, i] flags: rewrite

Additional information

Used terms: ~2147483647, i