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Proof step 10 from proof valid-eraseq-prev-erasing (previous step)

wlar[n] = wl-entry(m3, stat), m1 + 1 < # wlar, m < # wlar, m1 < m, m1 < # wlar, ∀ n. n ∈ q ↔ n < m ∧ wlar[n].status = erasing ⊦ n ∈ q ↔ ¬ m < n ∧ stat = erasing, n = m, n = m1

Heuristic cut applied rule cut formula

And obtained the following new goals

Proof step 11:
wlar[n] = wl-entry(m3, stat), m1 < # wlar, m1 < m, m < # wlar, m1 + 1 < # wlar, n ∈ q, ∀ n. n ∈ q ↔ n < m ∧ wlar[n].status = erasing ⊦ n ∈ q ↔ ¬ m < n ∧ stat = erasing, n = m1, n = m
Proof step 17:
wlar[n] = wl-entry(m3, stat), m1 < # wlar, m1 < m, m < # wlar, m1 + 1 < # wlar, ∀ n. n ∈ q ↔ n < m ∧ wlar[n].status = erasing ⊦ n ∈ q ↔ ¬ m < n ∧ stat = erasing, n = m1, n = m, n ∈ q

Rule argument

fma: n ∈ q

Additional information

Used formulas: n ∈ q