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Proof step 4 from proof valid-eraseq-next-erasing (previous step)

wlar[m, wl-entry(m0, erasing)][n] = wl-entry(m1, stat), m < # wlar, ∀ n. n ∈ q ↔ n < m ∧ wlar[n].status = erasing ⊦ n ∈ q + eq-entry(m, lref) ' ↔ ¬ m < n ∧ stat = erasing

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 5:
wlar[m, wl-entry(m0, erasing)][n] = wl-entry(m1, stat), m < # wlar, ∀ n. n ∈ q ↔ n < m ∧ wlar[n].status = erasing ⊦ n ∈ q + eq-entry(m, lref) ' ↔ ¬ m < n ∧ stat = erasing, n = m

Rule argument

fma: n = m

Additional information

Used simplifier rules: ⊦ m < # wlar → wlar[m, wle][m] = wle; (s)% ⊦ wl-entry(m, stat) = wl-entry(m0, stat0) ↔ m = m0 ∧ stat = stat0; (ws)% ⊦ ¬ n < n; (s)% ⊦ n ∈ q + eq-entry(n0, lref) ' ↔ n ∈ q ∨ n = n0; (ss)%a: ⊦ (q + q0) + q1 = q + q0 + q1; from specification list[erasequeue-base] Used formulas: n = m