| # apebs = # wlar, # vols[v] = # avols[v], apebs[unmapped.pnum] = mkpeb(aehdr, avhdr, buf1, m, boolvar), vols[v][vtblpnum1] = unmapped, err = ESUCCESS, vtblpnum1 < # avols[v], bflipset-cons(bflipset, wlar), ebm-cons(avols), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum3), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum3), valid-wl(apebs, wlar), v ∈ avols, v ∈ vols, vtblpnum4 + n ≤ LEB_SIZE, n0 + n ≤ # buf0, avols[v][vtblpnum1] = erased → ¬ v × vtblpnum1 ∈ q ⊦ ⟨buf := buf0; if err = ESUCCESS then if ¬ avols[v][vtblpnum1].mapped? then buf0 := fill(buf0, empty, n0, n) else buf0 := copy(avols[v][vtblpnum1].data, vtblpnum4, buf0, n0, n) else choose buf with # buf = # buf0 ∧ range=(buf, 0, buf0, 0, n0) ∧ range=(buf, n0 + n, buf0, n0 + n, # buf0 - n0 + n) in buf0 := buf⟩ (fill(buf, empty, n0, n) = buf0 ∧ ESUCCESS = err), avols[v][vtblpnum1].mapped?, VTBL_VOLID ∈ vols |
# vols[v] = # avols[v], # apebs = # wlar, vols[v][vtblpnum1] = unmapped, apebs[unmapped.pnum] = mkpeb(aehdr, avhdr, buf1, m, boolvar), buf = buf0, err = ESUCCESS, vtblpnum1 < # avols[v], bflipset-cons(bflipset, wlar), ebm-cons(avols), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum3), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum3), valid-wl(apebs, wlar), v ∈ vols, v ∈ avols, n0 + n ≤ # buf0, vtblpnum4 + n ≤ LEB_SIZE, avols[v][vtblpnum1] = erased → ¬ v × vtblpnum1 ∈ q ⊦ ⟨if err = ESUCCESS then if ¬ avols[v][vtblpnum1].mapped? then buf0 := fill(buf0, empty, n0, n) else buf0 := copy(avols[v][vtblpnum1].data, vtblpnum4, buf0, n0, n) else choose buf with # buf = # buf0 ∧ range=(buf, 0, buf0, 0, n0) ∧ range=(buf, n0 + n, buf0, n0 + n, # buf0 - n0 + n) in buf0 := buf⟩ (fill(buf, empty, n0, n) = buf0 ∧ ESUCCESS = err), avols[v][vtblpnum1].mapped?, VTBL_VOLID ∈ vols