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Proof step 42 from proof refine-write (previous step)

LEB_SIZE = (n4 + n) + n0 + n2, avols[default-volid][m2] = mapped(buf0, n2), n1 = m2, n1 < # avols[default-volid], m2 < # avols[default-volid], ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), is-aligned(n0, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), default-volid ∈ avols, (n0 + n2) + n ≤ LEB_SIZE, n3 + n ≤ # buf, n2 ≤ LEB_SIZE, n0 + n2 ≤ LEB_SIZE, n + n0 + n2 ≤ LEB_SIZE ⊦ abs(avols[default-volid])[m2, mapped(subarray(buf0, 0, n2) + mkempbuf(n0) + subarray(buf, n3, n))][n1] = abs(avols[default-volid][m2, mapped(subarray(buf0, 0, n0 + n2) + subarray(buf, n3, n) + mkempbuf(n4), (n0 + n2) + n)])[n1], n = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 43:
LEB_SIZE = (n4 + n) + n0 + n2, avols[default-volid][m2] = mapped(buf0, n2), m2 < # avols[default-volid], ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), is-aligned(n, EB_PAGE_SIZE), is-aligned(n0, EB_PAGE_SIZE), default-volid ∈ avols, n + n0 + n2 ≤ LEB_SIZE, n0 + n2 ≤ LEB_SIZE, n2 ≤ LEB_SIZE, n3 + n ≤ # buf, (n0 + n2) + n ≤ LEB_SIZE ⊦ mapped(subarray(buf0, 0, n2) + mkempbuf(n0) + subarray(buf, n3, n)) = abs(avols[default-volid][m2, mapped(subarray(buf0, 0, n0 + n2) + subarray(buf, n3, n) + mkempbuf(n4), (n0 + n2) + n)])[m2], n = 0

Rule argument

Additional information

Used simplifier rules: m < # avol ⊦ avol[m, aleb][m] = aleb; (s)% ⊦ m < n → (n ≤ m ↔ false); (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ # abs(evol) = # evol; (s)