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Proof step 1 from proof union-write (conclusion)

m ≤ # asar, n < m ⊦ disj(asar, 0, m) → union(asar[n, as], 0, m) = (union(asar, 0, m) \ asar[n]) ∪ as

System applied rule normalize

And obtained the following new goals

Proof step 2:
n < m, disj(asar, 0, m), m ≤ # asar ⊦ union(asar[n, as], 0, m) = (union(asar, 0, m) \ asar[n]) ∪ as

Rule argument

Additional information