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Proof step 36 from proof refine-write (previous step)

LEB_SIZE = (n4 + n) + m1, avols[default-volid][m2] = mapped(buf0, n2), m1 = n0 + n2, m2 < # avols[default-volid], ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), is-aligned(m1, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), default-volid ∈ avols, m1 + n ≤ LEB_SIZE, n3 + n ≤ # buf, n2 ≤ LEB_SIZE, m1 ≤ LEB_SIZE, n2 ≤ m1, n + m1 ≤ LEB_SIZE ⊦ abs(avols[default-volid])[m2, mapped(subarray(buf0, 0, n2) + mkempbuf(n0) + subarray(buf, n3, n))] = abs(avols[default-volid][m2, mapped(subarray(buf0, 0, m1) + subarray(buf, n3, n) + mkempbuf(n4), m1 + n)]), n = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 37:
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 ⊦ abs(avols[default-volid])[m2, 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)]), n = 0

Rule argument

Additional information

Used simplifier rules: ⊦ v ∈ avols ∧ m < # avols[v] ∧ avols[v][m] = mapped(buf, m0) ∧ ebm-cons(avols) → (is-aligned(m0 + m1, EB_PAGE_SIZE) ↔ is-aligned(m1, EB_PAGE_SIZE)); (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m ≤ m + n; (s)