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Proof step 5 from proof short-div-ngr (previous step)

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

User applied rule cut formula

And obtained the following new goals

Proof step 6:
j < 0, 65536 ≤ s2i(sho) / j, 0 < s2i(sho) / j, 0 ≤ s2i(sho) / j ⊦ j = 0, ¬ j < 0 ∧ ¬ s2i(sho) < 0

Rule argument

fma: j < 0

Additional information

Used simplifier rules: ⊦ ¬ i < j → (i ≠ j ↔ j < i);% ⊦ i < j → ¬ j < i;% ⊦ i < 0 ∧ 0 < j → ¬ 0 < i / j; Used formulas: j < 0