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Proof step 234 from proof refine-read-buf (previous step)

# avol0 = # avol1, # lpt0 = # avol1, # buf2 = EB_PAGE_SIZE, # buf4 = n0 + m0, n1 + n5 = n4 + min(n1, n2), # buf4 + n5 + n1 = m0 + # buf3, LEB_SIZE = n3 + n2 + # buf4, avol0[m2] = mapped(buf4), avol1[m2] = mapped(buf4 + subarray(buf2, 0, n2)), m2 < # avol1, n2 < EB_PAGE_SIZE, awbuf-inv(avol1, buffered(m2)), ebm-vol-inv(avol0), is-aligned(# buf4, EB_PAGE_SIZE), m0 ≤ # buf4, n1 ≤ n2 + n3, min(n1, n2) ≤ EB_PAGE_SIZE, # buf4 ≤ # buf3 + m0, # buf4 ≤ LEB_SIZE, m0 ≤ # buf4 + n2, min(n1, n2) ≤ n1 + n5, m0 ≤ LEB_SIZE ⊦ subarray(buf4, m0, n0) + subarray(buf2, 0, min(n1, n2)) + subarray(subarray(buf4 + mkempbuf(n3 + n2), m0, n1 + n0) + subarray(buf3, n1 + n0, n5), n0 + min(n1, n2), n4) = subarray(buf4 + subarray(buf2, 0, n2) + mkempbuf(n3), m0, n1 + n0) + subarray(buf3, n1 + n0, n5)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 235:
# avol0 = # avol1, # lpt0 = # avol1, # buf2 = EB_PAGE_SIZE, # buf4 = n0 + m0, n1 + n5 = n4 + min(n1, n2), n0 + n5 + n1 = # buf3, LEB_SIZE = n3 + n2 + n0 + m0, avol0[m2] = mapped(buf4), avol1[m2] = mapped(buf4 + subarray(buf2, 0, n2)), m2 < # avol1, n2 < EB_PAGE_SIZE, awbuf-inv(avol1, buffered(m2)), ebm-vol-inv(avol0), is-aligned(n0 + m0, EB_PAGE_SIZE), n0 ≤ # buf3, min(n1, n2) ≤ n1 + n5, m0 ≤ LEB_SIZE, n1 ≤ n2 + n3, min(n1, n2) ≤ EB_PAGE_SIZE ⊦ subarray(buf4, m0, n0) + subarray(buf2, 0, min(n1, n2)) + subarray(subarray(buf4 + mkempbuf(n3 + n2), m0, n1 + n0) + subarray(buf3, n1 + n0, n5), n0 + min(n1, n2), n4) = subarray(buf4 + subarray(buf2, 0, n2) + mkempbuf(n3), m0, n1 + n0) + subarray(buf3, n1 + n0, n5)

Rule argument

Additional information

Used simplifier rules: nat1: ⊦ n0 = n1 + n → (n0 ≤ n1 + m ↔ n ≤ m);%nat0: ⊦ n0 = n1 + n → (n1 + m ≤ n0 ↔ m ≤ n);% ⊦ m ≤ m + n; (s)% ⊦ m + n = m + n0 ↔ n = n0; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic