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Proof step 29 from proof mult-eq-same (previous step)

i * 10 ^ abs(i2) = i1 * 10 ^ abs(i0) ⊦ i3 = 0, mkDecimal(i3, i4) = mkDecimal(0, 0), mkDecimal(i, i0) = mkDecimal(i1, i2)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 30:
⊦ mkDecimal(i, j) = mkDecimal(i0, j0) ↔ i * 10 ^ abs(j0) = i0 * 10 ^ abs(j)

Rule argument

spec: decimal inst: name: equality-any seq: ⊦ mkDecimal(i, j) = mkDecimal(i0, j0) ↔ i * 10 ^ abs(j0) = i0 * 10 ^ abs(j) subst: [j0, i0, j, i] → [i2, i1, i0, i] flags: rewrite

Additional information

Used terms: i2, i1, i0, i