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Proof step 33 from proof equal-minus-one (previous step)

1 / i ^ ~ j = ~1, j < 0, i ^ ~ j ≤ 0 ⊦ j = 0, i = ~1, i = 0

User applied rule cut formula

And obtained the following new goals

Proof step 34:
i ^ ~ j < 0, 1 / i ^ ~ j = ~1, j < 0, i ^ ~ j ≤ 0 ⊦ j = 0, i = ~1, i = 0

Rule argument

fma: i ^ ~ j < 0

Additional information

Used simplifier rules: zero-02: ⊦ j < 0 → (i ^ ~ j = 0 ↔ i = 0);%lels: ⊦ ¬ i < j ↔ j ≤ i; from specification int-abs%anti: ⊦ i ≤ j → (j ≤ i ↔ i = j); from specification int-abs Used formulas: i ^ ~ j < 0