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Proof step 18 from proof cong-crt-01 (previous step)

i ^ i0 = j0 * i1 + i, j0 * i1 + i = j * i2 + i, prime(j), prime(j0), 0 < i, 0 ≤ i0 ⊦ j = j0, j * j0 | j0 * i1 + i - i

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 19:
⊦ i + j - j = i
Proof step 20:
i ^ i0 = j0 * i1 + i, j0 * i1 + i = j * i2 + i, prime(j), prime(j0), 0 < i, 0 ≤ i0 ⊦ j = j0, j * j0 | j0 * i1

Rule argument

spec: int-abs inst: name: sub-same-01 seq: ⊦ i + j - j = i subst: [j, i] → [i, j0 * i1] flags: rewrite

Additional information

Used terms: i, j0 * i1