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Proof step 19 from proof inv-write (previous step)

pebs[m3, mkpeb(copy(buf, n2, buf0, m2, n), m2 + n, false)][n0] = mkpeb(buf2, m0, boolvar0), pebs[n0] = mkpeb(buf1, m, boolvar), pebs[m3] = mkpeb(buf0, m1, false), n0 = m3, n0 < # pebs, m3 < # pebs, is-aligned(m2, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), mtd-cons(pebs), m1 ≤ m2, n2 + n ≤ # buf, m2 + n ≤ PEB_SIZE, ¬ boolvar → m ≤ PEB_SIZE ∧ is-aligned(m, EB_PAGE_SIZE) ∧ range=(buf1, m, emptypeb, m, PEB_SIZE - m) ⊦ # buf2 = PEB_SIZE ∧ (¬ boolvar0 → m0 ≤ PEB_SIZE ∧ is-aligned(m0, EB_PAGE_SIZE) ∧ range=(buf2, m0, emptypeb, m0, PEB_SIZE - m0))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 20:
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)

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%m ≠ 0, is-aligned(n1, m) ⊦ is-aligned(n0 + n1, m) ↔ is-aligned(n0, m); (s)% ⊦ EB_PAGE_SIZE ≠ 0; (s)%n < # pebs ⊦ pebs[n] = mkpeb(buf, m, boolvar) ∧ mtd-cons(pebs) → # buf = PEB_SIZE; (s)% ⊦ m < n → (n ≤ m ↔ false); (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ # copy(buf, m, buf0, m0, n) = # buf0; (s)%⊦ mkpeb(buf, m, boolvar) = mkpeb(buf0, m0, boolvar0) ↔ buf = buf0 ∧ m = m0 ∧ (boolvar ↔ boolvar0); (ws)% ⊦ m < # pebs → pebs[m, peb][m] = peb; (s)