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Proof step 1 from proof band-idempotent (conclusion)

⊦ band(band(i, j), j) = band(i, j)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ band(i, band(i0, j)) = band(band(i, i0), j)
Proof step 3:
⊦ band(i, band(j, j)) = band(i, j)

Rule argument

name: band-associativity rotate: T subst: [j, i0, i] → [j, j, i]

Additional information

Used terms: j, j, i