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Proof step 8 from proof sis-ls-same (previous step)

i < 0 ∧ ~32768 ≤ i % 65536, i < 0 ⊦ i < i % 65536 ↔ ¬ ~32768 ≤ i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
~32768 ≤ i % 65536, i < 0 ⊦ i < i % 65536 ↔ ¬ ~32768 ≤ i

Rule argument

Additional information

Used simplifier rules: ⊦ j < i ∧ i ≤ 0 → j < 0; (forward)