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Proof step 136 from proof refine-read-buf (previous step)

# buf3 = n4 + n2, # avol0 = # avol1, # lpt0 = # avol1, # buf2 = EB_PAGE_SIZE, (n0 + # buf4) + n3 + n2 = LEB_SIZE, n1 + n5 = n4 + n2, avol0[m2] = mapped(buf4), avol1[m2] = mapped(buf4 + subarray(buf2, 0, n2 + n0)), n = n6 + n2, m2 < # avol1, n2 + n0 < EB_PAGE_SIZE, n0 < EB_PAGE_SIZE, n < n2 + n4, n < n4 + n2, awbuf-inv(avol1, buffered(m2)), ebm-vol-inv(avol0), is-aligned(# buf4, EB_PAGE_SIZE), n1 ≤ n2 + n3, # buf4 ≤ LEB_SIZE, n2 ≤ n1, n2 ≤ n ⊦ EB_PAGE_SIZE = 1, subarray(mkempbuf(n1) + subarray(buf3, n1, n5), n2, n4)[n6] = (n < n1 ⊃ (subarray(buf2, 0, n2 + n0) + mkempbuf(n3))[n0 + n];subarray(buf3, n1, n5)[n - n1]), n0 = 0, n4 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 137:
# buf3 = n4 + n2, # avol0 = # avol1, # lpt0 = # avol1, # buf2 = EB_PAGE_SIZE, (n0 + # buf4) + n3 + n2 = LEB_SIZE, n1 + n5 = n4 + n2, avol0[m2] = mapped(buf4), avol1[m2] = mapped(buf4 + subarray(buf2, 0, n2 + n0)), n6 < n4, m2 < # avol1, n2 + n0 < EB_PAGE_SIZE, n0 < EB_PAGE_SIZE, awbuf-inv(avol1, buffered(m2)), ebm-vol-inv(avol0), is-aligned(# buf4, EB_PAGE_SIZE), n1 ≤ n2 + n3, # buf4 ≤ LEB_SIZE, n2 ≤ n1 ⊦ EB_PAGE_SIZE = 1, (mkempbuf(n1) + subarray(buf3, n1, n5))[n2 + n6] = (n6 + n2 < n1 ⊃ (subarray(buf2, 0, n2 + n0) + mkempbuf(n3))[n0 + n6 + n2];subarray(buf3, n1, n5)[n6 + n2 - n1]), n0 = 0

Rule argument

Additional information

Used simplifier rules: f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ n0 < n → subarray(buf, m, n)[n0] = buf[m + n0]; (s)% ⊦ m < n → n ≠ 0; (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% ⊦ m ≤ m + n; (s)