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Proof step 20 from proof inv-write (previous step)

pebs[m3] = mkpeb(buf0, m1, false), m3 < # pebs, is-aligned(m1, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), is-aligned(m2, EB_PAGE_SIZE), mtd-cons(pebs), range=(buf0, m1, emptypeb, m1, PEB_SIZE - m1), m1 ≤ PEB_SIZE, m2 + n ≤ PEB_SIZE, n2 + n ≤ # buf, m1 ≤ m2 ⊦ range=(copy(buf, n2, buf0, m2, n), m2 + n, emptypeb, m2 + n, PEB_SIZE - m2 + n)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 21:
PEB_SIZE = n0 + m1, pebs[m3] = mkpeb(buf0, m1, false), m3 < # pebs, is-aligned(m2, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), is-aligned(m1, EB_PAGE_SIZE), mtd-cons(pebs), range=(buf0, m1, emptypeb, m1, n0), m1 ≤ m2, n2 + n ≤ # buf, m2 + n ≤ PEB_SIZE, m1 ≤ PEB_SIZE ⊦ range=(copy(buf, n2, buf0, m2, n), m2 + n, emptypeb, m2 + n, PEB_SIZE - m2 + n)

Rule argument

spec: nat name: elim-sub seq: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n subst: [m, n, n0] → [PEB_SIZE, m1, n0]

Additional information

Used simplifier rules: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n; (elim) Used terms: PEB_SIZE, m1, n0