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Proof step 2 from proof mult-ls (previous step)

mkDecimal(0, 0) < dec ⊦ dec * dec_i < dec * dec_j ↔ dec_i < dec_j

User applied rule constructor cut

And obtained the following new goals

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

Rule argument

var: dec

Additional information

Used simplifier rules: decimal generated by mkDecimal;;