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Proof step 10 from proof delta-write (previous step)

ecs(wlar).max = n0 + m0, wlar[n] = wl-entry(m0, stat0), n < # wlar, m ≤ n0 + m0 ⊦ (n0 + m0) + (sum-of-differences(n0 + m0, ecs(wlar)) - n0) = m + (((ecs(wlar) -- m0) ++ m).max - m) + sum-of-differences(((ecs(wlar) -- m0) ++ m).max, ecs(wlar) -- m0), n0 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: bag-max name: max-rec seq: ⊦ (bag ++ n).max = (bag = ∅ ⊃ n;(bag.max > n ⊃ bag.max;n)) subst: [n, bag] → [m, ecs(wlar) -- m0] flags: <all paths>

Additional information

Used terms: m, ecs(wlar) -- m0