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Proof step 2 from proof mods-eq (previous step)

i * j + j0 = i0 * j + j1, j0 < j, j1 < j, 0 ≤ i, 0 ≤ i0, 0 ≤ j0, 0 ≤ j1, 0 < j ⊦ i = i0 ∧ j0 = j1

User applied rule insert lemma

And obtained the following new goals

Proof step 3:
i * j + j0 = i0 * j + j1, 0 ≤ j0, j0 < j, 0 ≤ j1, j1 < j ⊦ i = i0 ∧ j0 = j1

Rule argument

spec: int-mult inst: name: modeqp seq: i * j + j0 = i0 * j + j1, 0 ≤ j0, j0 < j, 0 ≤ j1, j1 < j ⊦ i = i0 ∧ j0 = j1 subst: [i, j, j0, i0, j1] → [i, j, j0, i0, j1] flags: current, []

Additional information

Used terms: i, j, j0, i0, j1