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Proof step 35 from proof prepost-write-orphans (previous step)

avol = avol1[n, mapped(mkbuf(0))], n < # avol1, ebm-vol-inv(avol1), ebm-vol-inv(avol1[n, mapped(mkbuf(0))]), is-aligned(# buf0, EB_PAGE_SIZE), is-encoded-pad(orphans0, # orphans0, buf0), # buf0 ≤ LEB_SIZE ⊦ [ebm_avol_write#(n, 0, 0, # buf0, buf0; avol; err0)] ( ebm-vol-inv(avol) → (err0 = ESUCCESS ∨ ⌊err0⌋ ) ∧ id○(avol, avol1, n) ∧ (err0 = ESUCCESS → avol[n].mapped? ∧ is-encoded-pad(orphans0, # orphans0, avol[n].data)))

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 36:
avol = avol1[n, mapped(mkbuf(0))], buf = buf0, m = 0, m0 = n, n0 = # buf0, n1 = 0, n < # avol1, ebm-vol-inv(avol1[n, mapped(mkbuf(0))]), ebm-vol-inv(avol1), is-aligned(# buf0, EB_PAGE_SIZE), is-encoded-pad(orphans0, # orphans0, buf0), # buf0 ≤ LEB_SIZE ⊦ [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] ( ebm-vol-inv(avol) → (err = ESUCCESS ∨ ⌊err⌋ ) ∧ id○(avol, avol1, n) ∧ (err = ESUCCESS → avol[n].mapped? ∧ is-encoded-pad(orphans0, # orphans0, avol[n].data)))

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 };