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Proof step 2 from proof mod2-2pot-06 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ 0 ≤ i ∧ 0 ≤ j → (j % 2 ^ i ≤ 0 ↔ j % 2 ^ i = 0)

Rule argument

spec: int-pot inst: name: mod2-2pot-05 seq: ⊦ 0 ≤ i ∧ 0 ≤ j → (j % 2 ^ i ≤ 0 ↔ j % 2 ^ i = 0) subst: [i, j] → [i, j] flags: rewrite, current

Additional information

Used simplifier rules: zero-gels-04: ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j; from specification int-abs%lels-01: ⊦ ¬ i ≤ j ↔ j < i; from specification int-abs%ls-01: ⊦ i < j → ¬ j < i; from specification int-basic1 Used terms: i, j