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Proof step 26 from proof div-div-rec (previous step)

i1 * 2 + j1 < 0, 2 ^ i * ((i1 * 2 + j1) + 1) + j0 < 0, (i1 * 2 + j1) + 1 < i, 0 ≤ i, ((2 ^ i * i1 * 2 + 2 ^ i * 1 * 2) + 2 ^ i * j1) + (j0 - 1) < 0, 0 < i, abs(j0) < 2 ^ i, j1 ≤ 0, j1 < i, i1 ≤ 0, i1 < i, abs(j1) < 2, j0 ≤ 0, j0 < i ⊦ i1 = (j0 + (2 ^ i * i1 * 2 + 2 ^ i * 1 * 2) + 2 ^ i * j1 - 2 ^ i * 2) / (2 ^ i * 2)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 27:
⊦ i = 1 → i * j = j
Proof step 28:
1 = 1, i1 * 2 + j1 < 0, 2 ^ i * ((i1 * 2 + j1) + 1) + j0 < 0, (i1 * 2 + j1) + 1 < i, 0 ≤ i, ((2 ^ i * i1 * 2 + 2 ^ i * 2) + 2 ^ i * j1) + (j0 - 1) < 0, 0 < i, abs(j0) < 2 ^ i, j1 ≤ 0, j1 < i, i1 ≤ 0, i1 < i, abs(j1) < 2, j0 ≤ 0, j0 < i ⊦ i1 = (j0 + (2 ^ i * i1 * 2 + 2 ^ i * 2) + 2 ^ i * j1 - 2 ^ i * 2) / (2 ^ i * 2)

Rule argument

spec: int-mult inst: name: one-01 seq: ⊦ i = 1 → i * j = j subst: [j, i] → [2, 1] flags: rewrite

Additional information

Used terms: 2, 1