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Proof step 113 from proof delta-atomic-leb-change (previous step)

apebs0[n2] = mkpeb(aehdr, empty, buf0, m, false), wlar[n2] = wl-entry(m0, stat), wlar[n1] = wl-entry(m1, stat0), apebs = apebs0[vtblpnum, apebs0[vtblpnum].vidhdr:= avhdr], err = err0, vtblpnum = n2, vtblpnum2 = n2, wlar0 = wlar, aehdr.valid?, vtblpnum < # apebs0, n2 < # apebs0, n2 < # wlar, n1 < # wlar, ⌊err0⌋ ∨ err0 = ESUCCESS, v ∈ vols ∧ m2 < # vols[v] ∧ vols[v][m2] = ⌜n1⌝ ∨ v = VTBL_VOLID ∧ m2 = VTBL_LNUM ∧ vtblpnum1 = n1 ⊦ [ubi_wl_put_peb#(none, vtblpnum2; wlar, q)] ( sum-of-differences(ecs(wlar).max, ecs(wlar)) = sum-of-differences(ecs(wlar0).max, ecs(wlar0)) ∧ ecs(wlar) = ecs(wlar0) ∧ (err = ESUCCESS → wlar[n2].ec = m0 ∧ wlar[n1].ec = m1)), datasize(buf, n) = 0, err = ESUCCESS, n2 = n1, avhdr.valid?

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 114:
apebs0[n2] = mkpeb(aehdr, empty, buf0, m, false), wlar[n2] = wl-entry(m0, stat), wlar[n1] = wl-entry(m1, stat0), wlar0 = wlar, datasize(buf, n) ≠ 0, n2 ≠ n1, aehdr.valid?, n2 < # apebs0, n2 < # wlar, n1 < # wlar, ⌊err0⌋ , ¬ avhdr.valid?, v ∈ vols ∧ m2 < # vols[v] ∧ vols[v][m2] = ⌜n1⌝ ∨ v = VTBL_VOLID ∧ m2 = VTBL_LNUM ∧ vtblpnum1 = n1 ⊦ [ubi_wl_put_peb#(none, n2; wlar, q)] (sum-of-differences(ecs(wlar).max, ecs(wlar)) = sum-of-differences(ecs(wlar0).max, ecs(wlar0)) ∧ ecs(wlar) = ecs(wlar0))

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)