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Proof step 1 from proof square-ls (conclusion)

⊦ dec * dec < dec0 * dec0 ↔ abs(dec) < abs(dec0)

User applied rule constructor cut

And obtained the following new goals

Proof step 2:
dec = mkDecimal(i, i0) ⊦ dec * dec < dec0 * dec0 ↔ abs(dec) < abs(dec0)

Rule argument

var: dec

Additional information

Used simplifier rules: decimal generated by mkDecimal;;