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Proof step 5 from proof dec2int-def-any (previous step)

¬(i % 10 = 0 ∧ j ≠ 0), ∀ 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)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
∀ 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

Rule argument

Additional information

Used simplifier rules: dec2int-zero: ⊦ dec2int(mkDecimal(i, 0)) = i;%one: ⊦ i / 1 = i; from specification int-div