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Proof step 4 from proof mult-ls (previous step)

0 < i ⊦ mkDecimal(i, i0) * dec_i < mkDecimal(i, i0) * dec_j ↔ dec_i < dec_j

User applied rule constructor cut

And obtained the following new goals

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

Rule argument

var: dec_i

Additional information

Used simplifier rules: decimal generated by mkDecimal;;