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Proof step 34 from proof inv-write-data-wl (previous step)

apebs[n2] = mkpeb(aehdr, avhdr, buf1, 0, false), n1 = align↑(datasize(buf, n1), EB_PAGE_SIZE), avhdr.valid?, aehdr.valid?, n2 < # apebs, ubi-io-inv(apebs), n1 ≤ # buf, n1 ≤ LEB_SIZE, ⌊err0⌋ ⊦ datasize(buf, n1) = 0, ∃ buf1. # buf1 ≤ n1 ∧ is-aligned(# buf1, EB_PAGE_SIZE) ∧ ( datasize(buf1, # buf1) < datasize(buf, n1) ∨ checksum(buf1 + mkempbuf(n1 - # buf1), datasize(buf, n1)) ≠ checksum(buf, datasize(buf, n1)))

User applied rule exists right

And closed the goal!

Rule argument

pos: right 2 terms: mkbuf(0) abort: F discard: T computed: F

Additional information

Used simplifier rules: ⊦ # mkbuf(n) = n; (s)% ⊦ 0 ≤ m; (s)% ⊦ EB_PAGE_SIZE ≠ 0; (s)%n ≠ 0 ⊦ is-aligned(0, n); (s)% ⊦ datasize(buf, 0) = 0; (s)% ⊦ 0 < m ↔ m ≠ 0; (s) Used terms: mkbuf(0)