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Proof step 32 from proof ecs-n-write (previous step)

wlar[m] = wl-entry(m2, stat1), wlar[n0] = wl-entry(m1, stat0), m < # wlar, n0 < # wlar, n0 < # wlar[m, wl-entry(m0, stat)], m ≤ n0, ∀ wlar, m, wle. n0 ≤ # wlar → ecs(wlar[m, wle], n0) = (m < n0 ⊃ (ecs(wlar, n0) -- wlar[m].ec) ++ wle.ec;ecs(wlar, n0)) ⊦ ecs(wlar[m, wl-entry(m0, stat)], n0) ++ wlar[m, wl-entry(m0, stat)][n0].ec = (ecs(wlar, n0) -- m2) ++ m1 ++ m0, m1 = m2

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 33:
wlar[n0] = wl-entry(m1, stat0), wlar[m] = wl-entry(m2, stat1), m < # wlar, n0 < # wlar, m ≤ n0, ∀ wlar, m, wle. n0 ≤ # wlar → ecs(wlar[m, wle], n0) = (m < n0 ⊃ (ecs(wlar, n0) -- wlar[m].ec) ++ wle.ec;ecs(wlar, n0)) ⊦ ecs(wlar[m, wl-entry(m0, stat)], n0) ++ wlar[m, wl-entry(m0, stat)][n0].ec = (ecs(wlar, n0) -- m2) ++ m1 ++ m0, m1 = m2

Rule argument

Additional information

Used simplifier rules: ⊦ # wlar[n, wle] = # wlar; (s)