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Proof step 7 from proof inv-create-volume (previous step)

# apebs = # wlar, apebs0 = apebs, q0 = q, vols0 = vols, vtblpnum0 = vtblpnum, vtblpnum1 = EB_PAGE_SIZE, vtblpnum2 = LEB_SIZE, ENCODED_NAT_SIZE + (# vols + 1) * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE) > vtblpnum2, bflipset-cons(bflipset, wlar), 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) ⊦ ⟪err := ENOSPC⟫ ( # 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, vtblpnum0) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum0) ∧ ubi-io-inv(apebs) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ id(apebs, apebs0, mapped-pebs(vols)) ∧ (err = ESUCCESS → ¬ v ∈ vols0 ∧ vols = vols0[v, fill(mkebatbl(n), unmapped)] ∧ q.lebrefs ⊆ ∅ ++ (VTBL_VOLID × VTBL_LNUM)) ∧ (err ≠ ESUCCESS → q.lebrefs ⊆ q0.lebrefs ∧ vols = vols0)), v = VTBL_VOLID, v ∈ vols, VTBL_VOLID ∈ vols, vtblpnum ∈ q

Heuristic symbolic execution applied rule assign right

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ m * (n + 1) = m * n + m; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult%mult-c: ⊦ m * n = n * m; from specification nat-mult% ⊦ m + m = 2 * m; (s)% ⊦ m > n ↔ n < m; (s)% ⊦ ESUCCESS ≠ ENOSPC; (s)% ⊦ ⌊ENOSPC⌋ ; (s)% ⊦ id(apebs, apebs, ns); (s)% ⊦ s0 ⊆ s0; (s)