[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 6 from proof crash-neutral-write (previous step)

avol[m2] = mapped(buf0), m2 < # avol, ebm-vol-inv(avol), is-aligned(m1, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), # buf0 ≤ m1, m1 + n ≤ LEB_SIZE, n2 + n ≤ # buf, avol ⊆ avol0 ⊦ ⟨fail_or_success#(; ; err); if err = ESUCCESS then if n ≠ 0 then avol[m2] := mapped(avol[m2].data + mkempbuf(m1 - # avol[m2].data) + subarray(buf, n2, n)) else choose n1 with n1 < n ∧ is-aligned(n1, EB_PAGE_SIZE) in if n1 ≠ 0 then avol[m2] := mapped(avol[m2].data + mkempbuf(m1 - # avol[m2].data) + subarray(buf, n2, n1)) ifnone skip⟩ (avol ⊆ avol0)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 7:
avol[m2] = mapped(buf0), m2 < # avol, ebm-vol-inv(avol), is-aligned(n, EB_PAGE_SIZE), is-aligned(m1, EB_PAGE_SIZE), n2 + n ≤ # buf, m1 + n ≤ LEB_SIZE, # buf0 ≤ m1, avol ⊆ avol0 ⊦ ⟨choose err0 with ⌊err0⌋ ∨ err0 = ESUCCESS in err := err0; if err = ESUCCESS then if n ≠ 0 then avol[m2] := mapped(avol[m2].data + mkempbuf(m1 - # avol[m2].data) + subarray(buf, n2, n)) else choose n1 with n1 < n ∧ is-aligned(n1, EB_PAGE_SIZE) in if n1 ≠ 0 then avol[m2] := mapped(avol[m2].data + mkempbuf(m1 - # avol[m2].data) + subarray(buf, n2, n1)) ifnone skip⟩ (avol ⊆ avol0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: fail_or_success#(; ; ERR) {choose ERR0 with ⌊ERR0⌋ ∨ ERR0 = ESUCCESS in ERR := ERR0};