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Proof step 6 from proof dec2int-def-any (previous step)

∀ i0, j. i→n(i0) < i→n(i) → true → dec2int(mkDecimal(i0, j)) = i0 / 10 ^ abs(j) ⊦ dec2int(mkDecimal(i, j)) = i / 10 ^ abs(j), i % 10 = 0, j = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ dec2int(dec) = dec.int / 10 ^ dec.scale
Proof step 8:
∀ i0, j. i→n(i0) < i→n(i) → true → dec2int(mkDecimal(i0, j)) = i0 / 10 ^ abs(j) ⊦ mkDecimal(i, j).int / 10 ^ mkDecimal(i, j).scale = i / 10 ^ abs(j), i % 10 = 0, j = 0

Rule argument

spec: inst: name: dec2int-def seq: ⊦ dec2int(dec) = dec.int / 10 ^ dec.scale subst: [dec] → [mkDecimal(i, j)] flags: rewrite, current

Additional information

Used terms: mkDecimal(i, j)