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Proof step 2 from proof short-div-ngr (previous step)

65536 ≤ s2i(sho) / j, 0 < s2i(sho) / j, 0 ≤ s2i(sho) / j ⊦ j = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ 0 < j ∧ i < i0 ∧ 0 ≤ i → ¬ i0 ≤ i / j
Proof step 4:
¬(0 < j ∧ s2i(sho) < 65536 ∧ 0 ≤ s2i(sho)), 65536 ≤ s2i(sho) / j, 0 < s2i(sho) / j, 0 ≤ s2i(sho) / j ⊦ j = 0

Rule argument

seq: ⊦ 0 < j ∧ i < i0 ∧ 0 ≤ i → ¬ i0 ≤ i / j subst: [j, i, i0] → [j, s2i(sho), 65536] rotate: F spec: int-div inst: name: div-nle

Additional information

Used terms: j, s2i(sho), 65536