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Proof step 6 from proof less-trans (previous step)

mkDecimal(i1, i2) < dec1, mkDecimal(i, i0) < mkDecimal(i1, i2) ⊦ mkDecimal(i, i0) < dec1

User applied rule constructor cut

And obtained the following new goals

Proof step 7:
dec1 = mkDecimal(i3, i4), mkDecimal(i1, i2) < dec1, mkDecimal(i, i0) < mkDecimal(i1, i2) ⊦ mkDecimal(i, i0) < dec1

Rule argument

var: dec1

Additional information

Used simplifier rules: decimal generated by mkDecimal;;