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Proof step 1 from proof ls-add-01 (conclusion)

⊦ mkDecimal(i, j) < dec + mkDecimal(i0, j) ↔ mkDecimal(i - i0, j) < dec

User applied rule constructor cut

And obtained the following new goals

Proof step 2:
dec = mkDecimal(i1, i2) ⊦ mkDecimal(i, j) < dec + mkDecimal(i0, j) ↔ mkDecimal(i - i0, j) < dec

Rule argument

var: dec

Additional information

Used simplifier rules: decimal generated by mkDecimal;;