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Proof step 3 from proof notneg-01 (previous step)

0 < i, i ^ j < i, i ^ j ≤ 0, i ^ j ≤ j, 0 ≤ j ⊦

User applied rule cut formula

And obtained the following new goals

Proof step 4:
i ^ j = 0, i ^ j < i, 0 < i, 0 ≤ j, i ^ j ≤ j, i ^ j ≤ 0 ⊦

Rule argument

fma: i ^ j = 0

Additional information

Used simplifier rules: notneg-02: ⊦ 0 < i → ¬ i ^ j < 0;% ⊦ i ≠ j → (i ≤ j ↔ i < j); (s) Used formulas: i ^ j = 0