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Proof step 8 from proof less-trans (previous step)

mkDecimal(i1, i2) < mkDecimal(i3, i4), mkDecimal(i, i0) < mkDecimal(i1, i2) ⊦ mkDecimal(i, i0) < mkDecimal(i3, i4)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ mkDecimal(i, j) = mkDecimal(i, abs(j))
Proof step 10:
mkDecimal(i1, abs(i2)) < mkDecimal(i3, i4), mkDecimal(i, i0) < mkDecimal(i1, abs(i2)) ⊦ mkDecimal(i, i0) < mkDecimal(i3, i4)

Rule argument

spec: decimal inst: name: mkDecimal-scale-not-neg seq: ⊦ mkDecimal(i, j) = mkDecimal(i, abs(j)) subst: [j, i] → [i2, i1] flags: rewrite

Additional information

Used terms: i2, i1