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Proof step 4 from proof commutativity (previous step)

∀ i. i * j0 = j0 * i ⊦ i * j0 -1 = j0 -1 * i

User applied rule insert elim lemma

And obtained the following new goals

Proof step 5:
j0 = i0 +1, ∀ i. i * j0 = j0 * i ⊦ i * i0 = i0 * i

Rule argument

spec: int-basic1 inst: name: elim-pred seq: ⊦ i = j -1 ↔ j = i +1 subst: [j, i] → [j0, i0] flags: []

Additional information

Used simplifier rules: ⊦ i = j -1 ↔ j = i +1; (elim) Used terms: j0, i0