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Proof step 105 from proof initial-ex-abstract-initial (previous step)

# buf = PEB_SIZE, m0 + 1 = # pebs, pebs[m0] = mkpeb(buf, EB_PAGE_SIZE, false), n1 < LEB_SIZE, abs(subarray(pebs, 0, m0), apebs), is-encoded(echdr(n), subarray(buf, 0, EB_PAGE_SIZE)), ubi-io-initial(pebs), ubi-io-initial(apebs), EB_PAGE_SIZE ≤ PEB_SIZE, ∀ n2. n2 < LEB_SIZE + EB_PAGE_SIZE → buf[EB_PAGE_SIZE + n2] = empty ⊦ buf[2 * EB_PAGE_SIZE + n1] = empty

User applied rule all left

And closed the goal!

Rule argument

pos: left 10 terms: EB_PAGE_SIZE + n1 abort: F discard: T computed: F

Additional information

Used simplifier rules: ⊦ m + n < m + n0 ↔ n < n0; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ m + m = 2 * m; (s) Used terms: EB_PAGE_SIZE + n1