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Proof step 99 from proof refine-write (previous step)

LEB_SIZE = (n0 + n2) + m1, avols[default-volid][m2] = mapped(buf0, n4), avol = abs(avols[default-volid]), n2 ≠ 0, n2 < n, m2 < # avols[default-volid], ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), is-aligned(m1, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), is-aligned(n2, EB_PAGE_SIZE), default-volid ∈ avols, n4 ≤ LEB_SIZE, m1 ≤ LEB_SIZE, n4 ≤ m1, m1 + n ≤ LEB_SIZE, n3 + n ≤ # buf, n3 + n2 ≤ # buf, n2 + m1 ≤ LEB_SIZE, ⌊err0⌋ ⊦ ⟨ebm_avol_write#(m2, m1, n3, n, buf; avol; err1)⟩ ( avol = abs(avols[default-volid][m2, mapped(subarray(avols[default-volid][m2].data, 0, m1) + subarray(buf, n3, n2) + mkempbuf(n0), m1 + n2)]) ∧ err0 = err1)

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 100:
LEB_SIZE = (n5 + n2) + m1, avols[default-volid][m2] = mapped(buf0, n4), avol = abs(avols[default-volid]), m = m1, m0 = m2, n0 = n, n1 = n3, m2 < # avols[default-volid], n2 < n, ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), is-aligned(n2, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), is-aligned(m1, EB_PAGE_SIZE), default-volid ∈ avols, n2 + m1 ≤ LEB_SIZE, n3 + n2 ≤ # buf, n3 + n ≤ # buf, m1 + n ≤ LEB_SIZE, n4 ≤ m1, m1 ≤ LEB_SIZE, n4 ≤ LEB_SIZE, ⌊err0⌋ ⊦ ⟨if m0 < # avol ∧ avol[m0].mapped? ∧ # avol[m0].data ≤ m ∧ is-aligned(m, EB_PAGE_SIZE) ∧ is-aligned(n0, EB_PAGE_SIZE) ∧ m + n0 ≤ LEB_SIZE ∧ n1 + n0 ≤ # buf then {fail_or_success#(; ; err); if err = ESUCCESS then if n0 ≠ 0 then avol[m0] := mapped(avol[m0].data + mkempbuf(m - # avol[m0].data) + subarray(buf, n1, n0)) else choose n with n < n0 ∧ is-aligned(n, EB_PAGE_SIZE) in if n ≠ 0 then avol[m0] := mapped(avol[m0].data + mkempbuf(m - # avol[m0].data) + subarray(buf, n1, n)) ifnone skip} else abort⟩ ( avol = abs(avols[default-volid][m2, mapped(subarray(avols[default-volid][m2].data, 0, m1) + subarray(buf, n3, n2) + mkempbuf(n5), m1 + n2)]) ∧ err0 = err), n2 = 0

Rule argument

pos: right 1

Additional information

Used simplifier rules: ebm_avol_write#(LNUM, OFFSET, N0, N, BUF; AVOL; ERR) {if LNUM < # AVOL ∧ AVOL[LNUM].mapped? ∧ # AVOL[LNUM].data ≤ OFFSET ∧ is-aligned(OFFSET, EB_PAGE_SIZE) ∧ is-aligned(N, EB_PAGE_SIZE) ∧ OFFSET + N ≤ LEB_SIZE ∧ N0 + N ≤ # BUF then {fail_or_success#(; ; ERR); if ERR = ESUCCESS then if N ≠ 0 then AVOL[LNUM] := mapped ( AVOL[LNUM].data + mkempbuf(OFFSET - # AVOL[LNUM].data) + subarray(BUF, N0, N)) else choose N1 with N1 < N ∧ is-aligned(N1, EB_PAGE_SIZE) in if N1 ≠ 0 then AVOL[LNUM] := mapped ( AVOL[LNUM].data + mkempbuf(OFFSET - # AVOL[LNUM].data) + subarray(BUF, N0, N1)) ifnone skip} else abort };