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Proof step 67 from proof gcd-rec-sub-01 (previous step)

abs(i) = abs(i0), 0 < i, i0 < 0 ⊦ i0 = 0, gcd(abs(i), 0) = gcd(abs(i), abs(i0))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 68:
⊦ gcd(i, 0) = abs(i)
Proof step 69:
abs(i) = abs(i0), 0 < i, i0 < 0 ⊦ i0 = 0, abs(abs(i)) = gcd(abs(i), abs(i0))

Rule argument

spec: int-gcd inst: name: gcd-zero-04 seq: ⊦ gcd(i, 0) = abs(i) subst: [i] → [abs(i)] flags: rewrite, current

Additional information

Used terms: abs(i)