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Proof step 22 from proof inv-write (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 23:
# 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)

Rule argument

spec: leb name: elim seq: ⊦ leb.mapped? → (buf = leb.data ∧ m = leb.fill ↔ leb = mapped(buf, m)) subst: [leb, buf, m] → [avols[v][m2], buf0, m]

Additional information

Used simplifier rules: ⊦ leb.mapped? → (buf = leb.data ∧ m = leb.fill ↔ leb = mapped(buf, m)); (elim) Used terms: avols[v][m2], buf0, m