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Proof step 15 from proof mod-add-zero (previous step)

j0 + j * i1 = 0, j0 < j, 0 < j, 0 < i1, j0 > 0, j * i1 > 0, 0 ≤ i0, 0 ≤ j0 ⊦ j * i1 = 0, i1 = 0, j0 = 0, j0 + j * i1 > 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 16:
⊦ i > j ↔ j < i
Proof step 17:
j0 + j * i1 = 0, 0 < i1, 0 < j, j0 < j, j * i1 > 0, j0 > 0, 0 ≤ j0, 0 ≤ i0 ⊦ j * i1 = 0, i1 = 0, j0 = 0, 0 < j0 + j * i1

Rule argument

spec: int-abs name: gr-def seq: ⊦ i > j ↔ j < i subst: [j, i] → [0, j0 + j * i1] flags: <all paths>

Additional information

Used terms: 0, j0 + j * i1