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Proof step 26 from proof add-def-02 (previous step)

gcd(i1, j1) = 1, 0 < i3, 1 < i, 0 < i, 0 < j1, ∀ j2, j1, i4, i3. i→n(i3) + i→n(i4) < i→n(i1) + i→n(i * 0) → 0 < j1 ∧ 0 < j2 → rational(i3, j1) + rational(i4, j2) = rational(i3 * j2 + j1 * i4, j1 * j2) ⊦ j1 = 0, i3 = 0, i = 0, 0r + rational(i1, j1) = rational(i1, j1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 27:
⊦ ri + 0r = ri

Rule argument

name: add-zero rotate: F subst: [ri] → [rational(i1, j1)]

Additional information

Used simplifier rules: add-comm: ⊦ ri + rj = rj + ri; Used terms: rational(i1, j1)