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Proof step 2 from proof inv-write (previous step)

vtblpnum0 = EB_PAGE_SIZE, vtblpnum1 < # vols[v], is-aligned(vtblpnum2, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), ubi-cons(apebs, vols, wlar, q, bflipset, vtblpnum, sqnum), ubi-io-inv(apebs), v ∈ vols, n0 + n ≤ # buf, vtblpnum2 + n ≤ LEB_SIZE, vols[v][vtblpnum1] ≠ unmapped → apebs[vols[v][vtblpnum1].pnum].fill ≤ vtblpnum2 ⊦ ⟪ubi_write#(v, vtblpnum1, vtblpnum2, n0, n, buf, vtblpnum0; vols, wlar, q, bflipset, vtblpnum, sqnum, apebs; err)⟫ (ubi-cons(apebs, vols, wlar, q, bflipset, vtblpnum, sqnum) ∧ ubi-io-inv(apebs))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
# apebs = # wlar, vtblpnum1 < # vols[v], bflipset-cons(bflipset, wlar), is-aligned(vtblpnum2, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum), valid-wl(apebs, wlar), v ∈ vols, n0 + n ≤ # buf, vtblpnum2 + n ≤ LEB_SIZE, ¬ vtblpnum ∈ q, ¬ VTBL_VOLID ∈ vols, vols[v][vtblpnum1] ≠ unmapped → apebs[vols[v][vtblpnum1].pnum].fill ≤ vtblpnum2 ⊦ ⟪ubi_write#(v, vtblpnum1, vtblpnum2, n0, n, buf, EB_PAGE_SIZE; vols, wlar, q, bflipset, vtblpnum, sqnum, apebs; err)⟫ ( # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, sqnum) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ ¬ VTBL_VOLID ∈ vols ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, vtblpnum) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum) ∧ ubi-io-inv(apebs))

Rule argument

Additional information

Used simplifier rules: lf-vtbl-info: ⊦ valid-vtbl(apebs, vols, wlar, n) ∧ valid-eraseq(wlar, q) → ¬ n ∈ q;% ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%⊦ ubi-cons(apebs, vols, wlar, q, bflipset, n0, n1) ↔ # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, n1) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ ¬ VTBL_VOLID ∈ vols ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, n0) ∧ valid-vtbl(apebs, vols, wlar, n0); (s)