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Proof step 110 from proof inv-format (previous step)

# pebs0 = n + m1, # pebs1 = n + m1, # buf1 = EB_PAGE_SIZE, pebs1[m1] = mkpeb(buf0, m2, false), n0 < n + m1, n0 < m1, is-encoded(echdr((err1 = ESUCCESS ∧ aehdr0.valid? ⊃ aehdr0.ec + 1;0)), buf1), mtd-cons(pebs0), mtd-cons(pebs1), mtd-cons(pebs1[m1, mkpeb(emptypeb, 0, false)]), mtd-cons(pebs1[m1, mkpeb(copy(buf1, 0, emptypeb, 0, EB_PAGE_SIZE), EB_PAGE_SIZE, false)]), EB_PAGE_SIZE ≤ PEB_SIZE, ∀ n. n < # subarray(pebs1, 0, m1) → ubi-io-peb-initial(subarray(pebs1, 0, m1)[n]) ⊦ n = 0, n0 = m1, ubi-io-peb-initial(pebs1[n0])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 111:
# buf1 = EB_PAGE_SIZE, # pebs1 = n + m1, # pebs0 = n + m1, pebs1[m1] = mkpeb(buf0, m2, false), n0 < m1, n0 < n + m1, is-encoded(echdr((err1 = ESUCCESS ∧ aehdr0.valid? ⊃ aehdr0.ec + 1;0)), buf1), mtd-cons(pebs1[m1, mkpeb(copy(buf1, 0, emptypeb, 0, EB_PAGE_SIZE), EB_PAGE_SIZE, false)]), mtd-cons(pebs1[m1, mkpeb(emptypeb, 0, false)]), mtd-cons(pebs1), mtd-cons(pebs0), EB_PAGE_SIZE ≤ PEB_SIZE, ∀ n1. n1 < m1 → ubi-io-peb-initial(pebs1[n1]) ⊦ n = 0, n0 = m1, ubi-io-peb-initial(pebs1[n0])

Rule argument

Additional information

Used simplifier rules: c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n + 0 = n; (s)% ⊦ n0 < n → subarray(pebs, m, n)[n0] = pebs[m + n0]; (s)% ⊦ # subarray(pebs, m, n) = n; (s)