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Proof step 10 from proof dec2int-def-any (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
∀ i0, j. i→n(i0) < i→n(i) → true → dec2int(mkDecimal(i0, j)) = i0 / 10 ^ abs(j) ⊦ i / 10 ^ mkDecimal(i, j).scale = i / 10 ^ abs(j), i % 10 = 0, j = 0, 10 ^ mkDecimal(i, j).scale = 10 ^ abs(j)

Rule argument

Additional information

Used simplifier rules: neqf: ⊦ i / j ≠ i / i0 → j ≠ i0; (forward) from specification int-div