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Proof step 2 from proof gcd-zero-05 (previous step)

gcd(i0, j0) + gcd(i, j) = 0 ⊦ gcd(i0, j0) = 0 ∧ gcd(i, j) = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ i + j = 0 ↔ i = ~ j
Proof step 4:
gcd(i0, j0) = ~ gcd(i, j) ⊦ gcd(i0, j0) = 0 ∧ gcd(i, j) = 0

Rule argument

spec: int-abs inst: name: rew-eqzero seq: ⊦ i + j = 0 ↔ i = ~ j subst: [j, i] → [gcd(i, j), gcd(i0, j0)] flags: rewrite

Additional information

Used terms: gcd(i, j), gcd(i0, j0)