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Proof step 95 from proof refine-read-buf (previous step)

# avol0 = # avol1, # lpt0 = # avol1, # buf2 = EB_PAGE_SIZE, n1 + n5 = n4 + n2, # buf + n4 + n2 = # buf3, LEB_SIZE = n3 + n2 + # buf0 + # buf, avol0[m2] = mapped(buf0 + buf), avol1[m2] = mapped((buf0 + buf) + subarray(buf2, 0, n2)), n < n2 + n4, n2 < EB_PAGE_SIZE, m2 < # avol1, n < n4 + n2, n < # subarray(subarray(buf2, 0, n2) + mkempbuf(n3), 0, n1) + # subarray(buf3, n1 + # buf, n5), awbuf-inv(avol1, buffered(m2)), ebm-vol-inv(avol0), is-aligned(# buf0 + # buf, EB_PAGE_SIZE), n2 ≤ n1, # buf0 ≤ LEB_SIZE, n1 ≤ n2 + n3, # buf ≤ # buf3 ⊦ (n < n2 ⊃ buf2[n];subarray(mkempbuf(n1) + subarray(buf3, n1 + # buf, n5), n2, n4)[n - n2]) = (n < # subarray(subarray(buf2, 0, n2) + mkempbuf(n3), 0, n1) ⊃ subarray(subarray(buf2, 0, n2) + mkempbuf(n3), 0, n1)[n] ;subarray(buf3, n1 + # buf, n5)[n - # subarray(subarray(buf2, 0, n2) + mkempbuf(n3), 0, n1)] )

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 96:
# buf2 = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, # buf + n4 + n2 = # buf3, n1 + n5 = n4 + n2, LEB_SIZE = n3 + n2 + # buf0 + # buf, avol1[m2] = mapped((buf0 + buf) + subarray(buf2, 0, n2)), avol0[m2] = mapped(buf0 + buf), m2 < # avol1, n2 < EB_PAGE_SIZE, n < n2 + n4, n < n4 + n2, awbuf-inv(avol1, buffered(m2)), ebm-vol-inv(avol0), is-aligned(# buf0 + # buf, EB_PAGE_SIZE), # buf ≤ # buf3, n1 ≤ n2 + n3, # buf0 ≤ LEB_SIZE, n2 ≤ n1 ⊦ (n < n2 ⊃ buf2[n];subarray(mkempbuf(n1) + subarray(buf3, n1 + # buf, n5), n2, n4)[n - n2]) = (n < n1 ⊃ (subarray(buf2, 0, n2) + mkempbuf(n3))[n];subarray(buf3, n1 + # buf, n5)[n - n1])

Rule argument

Additional information

Used simplifier rules: c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n + 0 = n; (s)% ⊦ n0 < n → subarray(buf, m, n)[n0] = buf[m + n0]; (s)% ⊦ # subarray(buf, m, n) = n; (s)