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Proof step 145 from proof refine-write (previous step)

LEB_SIZE = (n5 + n2) + m1, avols[default-volid][m2] = mapped(buf0, n4), avol = abs(avols[default-volid]), m = m1, m0 = m2, n0 = n, n1 = n3, m2 < # avols[default-volid], n2 < n, ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), is-aligned(n2, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), is-aligned(m1, EB_PAGE_SIZE), default-volid ∈ avols, n2 + m1 ≤ LEB_SIZE, n3 + n2 ≤ # buf, n3 + n ≤ # buf, m1 + n ≤ LEB_SIZE, n4 ≤ m1, m1 ≤ LEB_SIZE, n4 ≤ LEB_SIZE, ⌊err0⌋ , m0 < # avol → m0 < # avol ∧ (avol[m0].mapped? → avol[m0].mapped? ∧ m0 < # avol) ⊦ n2 = 0, m0 < # avol ∧ avol[m0].mapped? ∧ # avol[m0].data ≤ m ∧ is-aligned(m, EB_PAGE_SIZE) ∧ is-aligned(n0, EB_PAGE_SIZE) ∧ m + n0 ≤ LEB_SIZE ∧ n1 + n0 ≤ # buf

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 146:
LEB_SIZE = (n5 + n2) + m1, avols[default-volid][m2] = mapped(buf0, n4), m2 < # avols[default-volid], n2 < n, ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), is-aligned(n2, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), is-aligned(m1, EB_PAGE_SIZE), default-volid ∈ avols, n2 + m1 ≤ LEB_SIZE, n3 + n2 ≤ # buf, n3 + n ≤ # buf, m1 + n ≤ LEB_SIZE, n4 ≤ m1, m1 ≤ LEB_SIZE, n4 ≤ LEB_SIZE, ⌊err0⌋ ⊦ n2 = 0, ∃ buf, n. mapped(buf0, n4) = mapped(buf, n)

Rule argument

Additional information

Used simplifier rules: ⊦ # subarray(buf, m, n) = n; (s)% ⊦ mapped(buf).data = buf; (s)% ⊦ abs(mapped(buf, n)) = mapped(subarray(buf, 0, n)); (s)% ⊦ abs(leb).mapped? ↔ (∃ buf, n. leb = mapped(buf, n)); (s)% ⊦ n < # evol → abs(evol)[n] = abs(evol[n]); (s)% ⊦ # abs(evol) = # evol; (s)