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Proof step 15 from proof inv-write-data (previous step)

LEB_SIZE - n5 = n0 + n4, apebs[n] = mkpeb(aehdr, avhdr, buf0, m, false), aehdr.valid?, avhdr.valid?, n < # apebs, is-aligned(n5, EB_PAGE_SIZE), is-aligned(n4, EB_PAGE_SIZE), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf0, m, false)), m ≤ n5, n5 + n4 ≤ LEB_SIZE, n1 + n4 ≤ # buf, m ≤ LEB_SIZE, n5 ≤ LEB_SIZE, n4 + n5 ≤ LEB_SIZE ⊦ ubi-io-peb-inv(mkpeb(aehdr, avhdr, subarray(buf0, 0, n5) + subarray(buf, n1, n4) + mkempbuf(n0), n5 + n4, false))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 16:
LEB_SIZE = n2 + n5, apebs[n] = mkpeb(aehdr, avhdr, buf0, m, false), n2 = n0 + n4, avhdr.valid?, aehdr.valid?, n < # apebs, is-aligned(n4, EB_PAGE_SIZE), is-aligned(n5, EB_PAGE_SIZE), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf0, m, false)), n4 + n5 ≤ LEB_SIZE, n5 ≤ LEB_SIZE, m ≤ LEB_SIZE, n1 + n4 ≤ # buf, n5 + n4 ≤ LEB_SIZE, m ≤ n5 ⊦ ubi-io-peb-inv(mkpeb(aehdr, avhdr, subarray(buf0, 0, n5) + subarray(buf, n1, n4) + mkempbuf(n0), n5 + n4, false))

Rule argument

spec: nat name: elim-sub seq: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n subst: [m, n, n0] → [LEB_SIZE, n5, n2]

Additional information

Used simplifier rules: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n; (elim) Used terms: LEB_SIZE, n5, n2