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Proof step 42 from proof even-add (previous step)

⊦ (2 + 2 * i0 + 2 * i) % 2 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 43:
j ≠ 0 ⊦ i % j = 0 ↔ (∃ j0. i = j0 * j)
Proof step 44:
2 ≠ 0 ⊦ ∃ j0. 2 + 2 * i0 + 2 * i = j0 * 2

Rule argument

spec: inst: name: modex seq: j ≠ 0 ⊦ i % j = 0 ↔ (∃ j0. i = j0 * j) subst: [j, i] → [2, 2 + 2 * i0 + 2 * i] flags: rewrite, current

Additional information

Used terms: 2, 2 + 2 * i0 + 2 * i