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Proof step 6 from proof ls-datasize-wear-level (previous step)

# buf = LEB_SIZE, subarray(buf, m, LEB_SIZE - m) = mkempbuf(LEB_SIZE - m), m < datasize(buf, LEB_SIZE), is-aligned(m, EB_PAGE_SIZE), m ≤ LEB_SIZE, aehdr ≠ garbage ∧ avhdr = empty → m = 0, aehdr = empty → avhdr = empty ⊦ ∃ buf0. buf = mkempbuf(LEB_SIZE) + buf0

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 7:
# buf = LEB_SIZE, LEB_SIZE = n0 + m, subarray(buf, m, n0) = mkempbuf(n0), m < datasize(buf, LEB_SIZE), is-aligned(m, EB_PAGE_SIZE), m ≤ LEB_SIZE, aehdr = empty → avhdr = empty, aehdr ≠ garbage ∧ avhdr = empty → m = 0 ⊦ ∃ buf0. buf = mkempbuf(LEB_SIZE) + buf0

Rule argument

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

Additional information

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