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Proof step 6 from proof mult-eq-same (previous step)

mkDecimal(i, i0) * dec = mkDecimal(i1, i2) * dec ⊦ dec = mkDecimal(0, 0), mkDecimal(i, i0) = mkDecimal(i1, i2)

User applied rule constructor cut

And obtained the following new goals

Proof step 7:
dec = mkDecimal(i3, i4), mkDecimal(i, i0) * dec = mkDecimal(i1, i2) * dec ⊦ dec = mkDecimal(0, 0), mkDecimal(i, i0) = mkDecimal(i1, i2)

Rule argument

var: dec

Additional information

Used simplifier rules: decimal generated by mkDecimal;;