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Proof step 23 from proof inv-write (previous step)

# buf0 = LEB_SIZE, LEB_SIZE = n3 + m1 + n, LEB_SIZE = n0 + m, avols[v][m2] = mapped(buf0, m), avols[v][m2].mapped?, m2 < # avols[v], ebm-cons(avols), is-aligned(m, EB_PAGE_SIZE), is-aligned(m1, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), range=(buf0, m, emptyleb, 0, n0), v ∈ avols, m ≤ LEB_SIZE, m1 ≤ LEB_SIZE, n2 + n ≤ # buf, m1 + n ≤ LEB_SIZE, n + n2 ≤ # buf, m ≤ m1, n + m1 ≤ LEB_SIZE ⊦ n = 0, range=(subarray(buf0, 0, m1) + subarray(buf, n2, n) + mkempbuf(n3), m1 + n, emptyleb, 0, n3)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 24:
LEB_SIZE = n3 + m1 + n, LEB_SIZE = n0 + m, avols[v][m2] = mapped(buf0, m), m2 < # avols[v], ebm-cons(avols), is-aligned(m, EB_PAGE_SIZE), is-aligned(m1, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), range=(buf0, m, emptyleb, 0, n0), v ∈ avols, m ≤ LEB_SIZE, m1 ≤ LEB_SIZE, n2 + n ≤ # buf, m1 + n ≤ LEB_SIZE, n + n2 ≤ # buf, m ≤ m1, n + m1 ≤ LEB_SIZE ⊦ n = 0, range=(subarray(buf0, 0, m1) + subarray(buf, n2, n) + mkempbuf(n3), m1 + n, emptyleb, 0, n3)

Rule argument

Additional information

Used simplifier rules: ⊦ mapped(buf, m).mapped?; (s)%let: ⊦ n ≤ n0 ∧ n0 ≤ n1 → n ≤ n1; (forward) from specification nat%⊦ v ∈ avols ∧ m < # avols[v] ∧ avols[v][m] = mapped(buf, n) ∧ ebm-cons(avols) → # buf = LEB_SIZE; (s)