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Proof step 40 from proof refine-write (previous step)

LEB_SIZE = (n4 + n) + n0 + n2, avols[default-volid][m2] = mapped(buf0, n2), m2 < # avols[default-volid], n1 < # 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 ⊦ 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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: array, inst: avolume name: Put-other seq: ⊦ m ≠ n → avol[n, aleb][m] = avol[m] subst: [m, aleb, n, avol] → [n1, mapped (subarray(buf0, 0, n2) + mkempbuf(n0) + subarray(buf, n3, n)), m2, abs(avols[default-volid])] flags: <all paths>

Additional information

Used terms: n1, mapped(subarray(buf0, 0, n2) + mkempbuf(n0) + subarray(buf, n3, n)), m2, abs(avols[default-volid])