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Proof step 21 from proof valid-ebatbl-write-data (previous step)

wlar[n1] = wl-entry(m3, stat), apebs[n] = mkpeb(aehdr, avhdr, buf0, m0, boolvar), apebs[n, mkpeb(aehdr, avhdr, buf1, m1, boolvar)][n1] = mkpeb(aehdr0, avhdr0, buf, m2, boolvar0), ∀ v, m, n1. vols[v][m] = ⌜n1⌝ ∧ v ∈ vols ∧ m < # vols[v] ↔ wlar[n1].status = used ∧ n1 < # apebs ∧ n1 < # wlar ∧ apebs[n1].vidhdr.valid? ∧ apebs[n1].vidhdr.vol = v ∧ apebs[n1].vidhdr.leb = m ∧ n1 ≠ n0 ⊦ vols[v][m] = ⌜n1⌝ ∧ v ∈ vols ∧ m < # vols[v] ↔ stat = used ∧ n1 < # apebs ∧ n1 < # wlar ∧ avhdr0.valid? ∧ avhdr0.vol = v ∧ avhdr0.leb = m ∧ n1 ≠ n0, n1 = n

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
apebs[n] = mkpeb(aehdr, avhdr, buf0, m0, boolvar), wlar[n1] = wl-entry(m3, stat), apebs[n1] = mkpeb(aehdr0, avhdr0, buf, m2, boolvar0), ∀ v, m, n1. vols[v][m] = ⌜n1⌝ ∧ v ∈ vols ∧ m < # vols[v] ↔ wlar[n1].status = used ∧ n1 < # apebs ∧ n1 < # wlar ∧ apebs[n1].vidhdr.valid? ∧ apebs[n1].vidhdr.vol = v ∧ apebs[n1].vidhdr.leb = m ∧ n1 ≠ n0 ⊦ vols[v][m] = ⌜n1⌝ ∧ v ∈ vols ∧ m < # vols[v] ↔ stat = used ∧ n1 < # apebs ∧ n1 < # wlar ∧ avhdr0.valid? ∧ avhdr0.vol = v ∧ avhdr0.leb = m ∧ n1 ≠ n0, n1 = n

Rule argument

Additional information

Used simplifier rules: ⊦ m ≠ n → apebs[n, apeb][m] = apebs[m]; (s)