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Proof step 126 from proof refine-write (previous step)

LEB_SIZE = (n5 + n0) + n1 + n4, avols[default-volid][m2] = mapped(buf0, n4), n2 = m2, n2 < # avols[default-volid], m2 < # avols[default-volid], n0 < n, ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), is-aligned(n1, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), is-aligned(n0, EB_PAGE_SIZE), default-volid ∈ avols, (n1 + n4) + n ≤ LEB_SIZE, n3 + n ≤ # buf, n4 ≤ LEB_SIZE, n1 + n4 ≤ LEB_SIZE, n3 + n0 ≤ # buf, n0 + n1 + n4 ≤ LEB_SIZE, ⌊err1⌋ ⊦ abs(avols[default-volid])[m2, mapped(subarray(buf0, 0, n4) + mkempbuf(n1) + subarray(buf, n3, n0))][n2] = abs(avols[default-volid][m2, mapped(subarray(buf0, 0, n1 + n4) + subarray(buf, n3, n0) + mkempbuf(n5), (n1 + n4) + n0)])[n2], n0 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 127:
LEB_SIZE = (n5 + n0) + n1 + n4, avols[default-volid][m2] = mapped(buf0, n4), n0 < n, 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), is-aligned(n1, EB_PAGE_SIZE), default-volid ∈ avols, n0 + n1 + n4 ≤ LEB_SIZE, n3 + n0 ≤ # buf, n1 + n4 ≤ LEB_SIZE, n4 ≤ LEB_SIZE, n3 + n ≤ # buf, (n1 + n4) + n ≤ LEB_SIZE, ⌊err1⌋ ⊦ mapped(subarray(buf0, 0, n4) + mkempbuf(n1) + subarray(buf, n3, n0)) = abs(avols[default-volid][m2, mapped(subarray(buf0, 0, n1 + n4) + subarray(buf, n3, n0) + mkempbuf(n5), (n1 + n4) + n0)])[m2], n0 = 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)