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Proof step 33 from proof sis-pos-low (previous step)

~32768 ≤ i ∧ i ≤ 32767, i % 65536 ≤ 32767, 0 ≤ i ⊦ i = i % 65536

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 34:
i ≤ 32767, i % 65536 ≤ 32767, 0 ≤ i ⊦ i = i % 65536

Rule argument

Additional information

Used simplifier rules: ⊦ j ≤ j0 ∧ j0 ≤ j1 → j ≤ j1; (forward)%i0 ≠ 0, i0 ≤ i ⊦ (* i) ≤ j → (* i0) ≤ j;