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Proof step 4 from proof mult-pos-02 (previous step)

mkDecimal(0, 0) ≤ dec_j, mkDecimal(i, i0) * dec_j < mkDecimal(i, i0), mkDecimal(i, i0) * dec_j < mkDecimal(0, 0), mkDecimal(i, i0) * dec_j < dec_j, 0 ≤ i ⊦

User applied rule constructor cut

And obtained the following new goals

Proof step 5:
dec_j = mkDecimal(i1, i2), mkDecimal(0, 0) ≤ dec_j, mkDecimal(i, i0) * dec_j < mkDecimal(i, i0), mkDecimal(i, i0) * dec_j < mkDecimal(0, 0), mkDecimal(i, i0) * dec_j < dec_j, 0 ≤ i ⊦

Rule argument

var: dec_j

Additional information

Used simplifier rules: decimal generated by mkDecimal;;