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Proof step 13 from proof abs-id-apebs-used (previous step)

# vols[v] = # avols[v], # wlar = # apebs, avols[v][m] = mapped(buf0, m2), apebs[vols[v][m].pnum] = mkpeb(aehdr, avhdr, buf, m1, boolvar), wlar[n] = wl-entry(m0, stat), apebs[n, apeb][vols[v][m].pnum] = mkpeb(aehdr0, avhdr0, buf0, m3, boolvar0), m < # avols[v], n < # apebs, valid-ebatbl(apebs, wlar, vols, n0), v ∈ avols, v ∈ vols, m3 ≤ m2 ⊦ vols[v][m] = unmapped, stat = used, buf0 = buf ∧ m1 ≤ m2

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 14:
# wlar = # apebs, # vols[v] = # avols[v], apebs[n, apeb][m4] = mkpeb(aehdr0, avhdr0, buf0, m3, boolvar0), wlar[n] = wl-entry(m0, stat), apebs[m4] = mkpeb(aehdr, avhdr, buf, m1, boolvar), avols[v][m] = mapped(buf0, m2), vols[v][m] = ⌜m4⌝ , n < # apebs, m < # avols[v], valid-ebatbl(apebs, wlar, vols, n0), v ∈ vols, v ∈ avols, m3 ≤ m2 ⊦ vols[v][m] = unmapped, stat = used, buf0 = buf ∧ m1 ≤ m2

Rule argument

spec: ebaentry name: elim seq: ⊦ ebae ≠ unmapped → (m = ebae.pnum ↔ ebae = ⌜m⌝ ) subst: [ebae, m] → [vols[v][m], m4]

Additional information

Used simplifier rules: ⊦ ebae ≠ unmapped → (m = ebae.pnum ↔ ebae = ⌜m⌝ ); (elim) Used terms: vols[v][m], m4