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Proof step 3 from proof mod-nle-02 (previous step)

0 < j, i % j < 0, j0 < 0, j0 + j ≤ 0, i % j ≤ j0 ⊦

User applied rule cut formula

And obtained the following new goals

Proof step 4:
j0 < 0, i % j < 0, 0 < j, i < 0, i % j ≤ j0, j0 + j ≤ 0 ⊦

Rule argument

fma: i < 0

Additional information

Used simplifier rules: mod-zero-01: ⊦ 0 < j ∧ 0 ≤ i → ¬ i % j < 0;% ⊦ i < j ↔ ¬ j ≤ i; (ss) Used formulas: i < 0