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Proof step 30 from proof add-def-any (previous step)

i * 10 ^ (abs(j0) - 1) * 10 + (j1 * 10) * 10 ^ abs(j) = 10 * (i * 10 ^ (abs(j0) - 1) + j1 * 10 ^ abs(j)), ∀ i1, i2, j, j0. i→n(i1) + i→n(i2) < i→n(i) + i→n(j1 * 10) → true → mkDecimal(i1, j) + mkDecimal(i2, j0) = mkDecimal(i1 * 10 ^ abs(j0) + i2 * 10 ^ abs(j), abs(j) + abs(j0)) ⊦ j0 = 0, mkDecimal(i, j) + mkDecimal(j1, abs(j0) - 1) = mkDecimal(i * 10 ^ (abs(j0) - 1) * 10 + (j1 * 10) * 10 ^ abs(j), abs(j) + abs(j0)), i % 10 = 0 ∧ j ≠ 0

User applied rule insert equation

And obtained the following new goals

Rule argument

pos: left 1 flags: discard

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