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Proof step 21 from proof ecs-n-write (previous step)

wlar[n0] = wl-entry(m2, stat0), wlar[m] = wl-entry(m2, stat1), m + 1 < # wlar, n0 < # wlar, m < # 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) ++ m2 = ecs(wlar, n0) ++ m0, n0 = m

User applied rule all left

And obtained the following new goals

Proof step 22:
wlar[m] = wl-entry(m2, stat1), wlar[n0] = wl-entry(m2, stat0), m < n0, m < # wlar, n0 < # wlar, m + 1 < # wlar, n0 ≤ # wlar → ecs(wlar[m, wl-entry(m0, stat)], n0) = (m < n0 ⊃ (ecs(wlar, n0) -- wlar[m].ec) ++ wl-entry(m0, stat).ec;ecs(wlar, n0)) ⊦ ecs(wlar[m, wl-entry(m0, stat)], n0) ++ m2 = ecs(wlar, n0) ++ m0, n0 = m

Rule argument

pos: left 7 terms: wlar, m, wl-entry(m0, stat) abort: F discard: T computed: F

Additional information

Used terms: wlar, m, wl-entry(m0, stat)