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Proof step 1 from proof mod-ngez (conclusion)

⊦ j < 0 ∧ 0 ≤ i → (0 ≤ j % 2 ^ i ↔ j % 2 ^ i = 0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
0 ≤ i, j < 0 ⊦ 0 ≤ j % 2 ^ i ↔ j % 2 ^ i = 0

Rule argument

Additional information

Used simplifier rules: zero-gels-01: ⊦ i < 0 ∧ 0 ≤ j → i < j; from specification int-abs%forward-le-02: ⊦ j < i ∧ i ≤ 0 → j < 0; (forward) from specification int-abs%forward-lsle: ⊦ i < j ∧ j ≤ j0 → i < j0; (forward) from specification int-abs%forward-le-01: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward) from specification int-abs