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Proof step 2 from proof mult-pos-02 (previous step)

dec_i * dec_j < mkDecimal(0, 0), mkDecimal(0, 0) ≤ dec_i, mkDecimal(0, 0) ≤ dec_j, dec_i * dec_j < dec_i, dec_i * dec_j < dec_j ⊦

User applied rule constructor cut

And obtained the following new goals

Proof step 3:
dec_i = mkDecimal(i, i0), dec_i * dec_j < mkDecimal(0, 0), mkDecimal(0, 0) ≤ dec_i, mkDecimal(0, 0) ≤ dec_j, dec_i * dec_j < dec_i, dec_i * dec_j < dec_j ⊦

Rule argument

var: dec_i

Additional information

Used simplifier rules: decimal generated by mkDecimal;;