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Proof step 8 from proof crash-neutral-write (previous step)

# lpt = # avol, avol[m3] = mapped(buf0), m3 < # avol, ebm-vol-inv(avol), is-aligned(n, EB_PAGE_SIZE), is-aligned(m0, EB_PAGE_SIZE), n2 + n ≤ # buf, m0 + n ≤ LEB_SIZE, # buf0 ≤ m0, avol ⊆ avol0 ⊦ ∃ err0. (⌊err0⌋ ∨ err0 = ESUCCESS) ∧ ⟨err := err0; if err = ESUCCESS then if n ≠ 0 then avol[m3] := mapped(avol[m3].data + mkempbuf(m0 - # avol[m3].data) + subarray(buf, n2, n)) else choose n1 with n1 < n ∧ is-aligned(n1, EB_PAGE_SIZE) in if n1 ≠ 0 then avol[m3] := mapped(avol[m3].data + mkempbuf(m0 - # avol[m3].data) + subarray(buf, n2, n1)) ifnone skip⟩ (avol ⊆ avol0)

User applied rule exists right

And obtained the following new goals

Proof step 9:
# lpt = # avol, avol[m3] = mapped(buf0), m3 < # avol, ebm-vol-inv(avol), is-aligned(m0, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), # buf0 ≤ m0, m0 + n ≤ LEB_SIZE, n2 + n ≤ # buf, avol ⊆ avol0 ⊦ (⌊EIO⌋ ∨ EIO = ESUCCESS) ∧ ⟨err := EIO; if err = ESUCCESS then if n ≠ 0 then avol[m3] := mapped(avol[m3].data + mkempbuf(m0 - # avol[m3].data) + subarray(buf, n2, n)) else choose n1 with n1 < n ∧ is-aligned(n1, EB_PAGE_SIZE) in if n1 ≠ 0 then avol[m3] := mapped(avol[m3].data + mkempbuf(m0 - # avol[m3].data) + subarray(buf, n2, n1)) ifnone skip⟩ (avol ⊆ avol0)

Rule argument

pos: right 1 terms: EIO abort: F discard: T computed: T

Additional information

Used terms: EIO