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Proof step 4 from proof modeqp (previous step)

(j * i1 + j) + j0 = i0 * j + j1, 0 ≤ j0, j0 < j, 0 ≤ j1, j1 < j, 0 < j, ∀ j, j0, i0, j1. i1 * j + j0 = i0 * j + j1 ∧ 0 ≤ j0 ∧ j0 < j ∧ 0 ≤ j1 ∧ j1 < j ∧ 0 < j → i1 = i0 ∧ j0 = j1 ⊦ i1 + 1 = i0 ∧ j0 = j1

User applied rule all left

And obtained the following new goals

Proof step 5:
(j * i1 + j) + j0 = i0 * j + j1, 0 ≤ j0, j0 < j, 0 ≤ j1, j1 < j, 0 < j, i1 * j + j0 = (i0 - 1) * j + j1 ∧ 0 ≤ j0 ∧ j0 < j ∧ 0 ≤ j1 ∧ j1 < j ∧ 0 < j → i1 = i0 - 1 ∧ j0 = j1 ⊦ i1 + 1 = i0 ∧ j0 = j1

Rule argument

pos: left 7 terms: j, j0, i0 - 1, j1 abort: F discard: T computed: F

Additional information

Used terms: j, j0, i0 - 1, j1