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Proof step 3 from proof inv-write-buf (previous step)

# lpt = # avol, bleb ≠ nobuffer, awbuf-inv(avol, bleb), # avol[bleb.leb].data + n ≤ LEB_SIZE, n ≤ # buf ⊦ ⟪awbuf_write_buf#(n, buf, adr, m, nx, lpt, ns, bleb; avol, isbuf; err)⟫ (awbuf-inv(avol, bleb) ∧ # lpt = # avol)

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 4:
# lpt = # avol, m0 = m, n0 = n, awbuf-inv(avol, bleb), n ≤ # buf, # avol[bleb.leb].data + n ≤ LEB_SIZE ⊦ ⟪if bleb ≠ nobuffer ∧ # avol[bleb.leb].data + n0 ≤ LEB_SIZE ∧ n0 ≤ # buf then if isbuf then err := EROFS else {fail_or_success#(; ; err); let m = bleb.leb in if err = ESUCCESS then avol[m] := mapped(avol[m].data + subarray(buf, 0, n0)) else { choose n with n ≠ 0 ∧ n < n0 ∧ is-aligned(# avol[m].data + n, EB_PAGE_SIZE) in avol[m] := mapped(avol[m].data + subarray(buf, 0, n)) ifnone skip or skip; isbuf := true}} else abort⟫ (awbuf-inv(avol, bleb) ∧ # lpt = # avol), bleb = nobuffer

Rule argument

pos: right 1

Additional information

Used simplifier rules: write-buf: ⊦ ;