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Proof step 133 from proof prepost-init-vols-mappings (previous step)

# apebs = # wlar, # wlar0 = # wlar, n1 ∈ q ↔ n1 < # wlar ∧ stat2 = erasing, wlar[m5] = wl-entry(m7, stat), recs1[v × m0] = recovery-entry(m3, m4), apebs[n] = mkpeb(aehdr, avhdr, buf, m, boolvar), apebs[n0] = mkpeb(aehdr0, avhdr0, buf0, m2, boolvar0), recs1[v0 × m1] = recovery-entry(m5, m6), wlar[m5, wl-entry(m7, erasing)][n0] = wl-entry(m8, stat0), wlar[m5, wl-entry(m7, erasing)][n1] = wl-entry(m9, stat1), wlar[n1] = wl-entry(m10, stat2), m5 < # wlar, bflipset-cons(bflipset, wlar), bflipset-cons(bflipset0, wlar0), is-encoded(vtbl, buf), unique-sqns(apebs), unmapped-vols(vols0), valid-eraseq(wlar0, q1), valid-eraseq-strong(apebs, vtbl, q), valid-eraseq-stronger(apebs, q1), valid-recs(apebs, wlar0, recs0), valid-vtbl(apebs, vols, wlar, n), valid-vtbl(apebs, vols0, wlar0, n), valid-wl(apebs, wlar), valid-wl(apebs, wlar0), v0 × m1 ∈ recs1, q1 ⊆ q, q1 ⊆ q + eq-entry(m5, v0 × m1) ', recs1 ⊥ vols, ∀ v, m, n0. v × m ∈ recs1 ∧ recs1[v × m].pnum = n0 ∨ v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n0⌝ ↔ wlar[n0].status = used ∧ n0 < # wlar ∧ apebs[n0].vidhdr.valid? ∧ apebs[n0].vidhdr.vol = v ∧ apebs[n0].vidhdr.leb = m ∧ n0 ≠ n ⊦ n1 ∈ q ∨ n1 = m5 ↔ n1 < # wlar ∧ stat1 = erasing, recs1 = ∅, n ∈ q1, VTBL_VOLID ∈ vols, VTBL_VOLID × VTBL_LNUM ∈ recs1, VTBL_VOLID ∈ vols0, v0 ∈ vols ∧ m1 < # vols[v0]

Heuristic weak cut applied rule cut formula

And closed the goal!

Rule argument

fma: n1 = m5

Additional information

Used simplifier rules: ⊦ m ≠ n → wlar[n, wle][m] = wlar[m]; (s)% ⊦ wl-entry(m, stat) = wl-entry(m0, stat0) ↔ m = m0 ∧ stat = stat0; (ws)% ⊦ m < # wlar → wlar[m, wle][m] = wle; (s) Used formulas: n1 = m5