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Proof step 10 from proof mult-eq-same (previous step)

mkDecimal(i * i3, abs(i0) + abs(i4)) = mkDecimal(i1, i2) * mkDecimal(i3, i4) ⊦ 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 11:
⊦ mkDecimal(i, j) * mkDecimal(i0, j0) = mkDecimal(i * i0, abs(j) + abs(j0))
Proof step 12:
mkDecimal(i * i3, abs(i0) + abs(i4)) = mkDecimal(i1 * i3, abs(i2) + abs(i4)) ⊦ mkDecimal(i3, i4) = mkDecimal(0, 0), mkDecimal(i, i0) = mkDecimal(i1, i2)

Rule argument

spec: inst: name: mult-def-any seq: ⊦ mkDecimal(i, j) * mkDecimal(i0, j0) = mkDecimal(i * i0, abs(j) + abs(j0)) subst: [j0, i0, j, i] → [i4, i3, i2, i1] flags: rewrite, current

Additional information

Used terms: i4, i3, i2, i1