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Proof step 190 from proof refine-read-buf (previous step)

# avol0 = # avol1, # lpt0 = # avol1, # buf2 = EB_PAGE_SIZE, min(n1, n2) + n4 = n1 + n5, n3 + n5 + n1 = # buf3, LEB_SIZE = n0 + # buf0 + # buf, avol0[m2] = mapped(buf0 + buf), avol1[m2] = mapped(buf0 + buf), subarray(buf2, 0, n2) = subarray(buf, n3, n2), (n7 + min(n1, n2)) + n3 < # buf + n0, min(n1, n2) < n1 + n5, n3 < # buf3, n3 + n2 < # buf, n3 < # buf, m2 < # avol1, n2 < EB_PAGE_SIZE, # buf0 < LEB_SIZE, (n3 + # buf0) + n2 < LEB_SIZE, n3 < n0 + # buf, n7 < n4, min(n1, n2) + n7 < n1, awbuf-inv(avol1, buffered(m2)), ebm-vol-inv(avol0), is-aligned(n3 + # buf0, EB_PAGE_SIZE), min(n1, n2) ≤ EB_PAGE_SIZE, n1 + n3 ≤ # buf + n0 ⊦ subarray(buf + mkempbuf(n0), 0, n1 + n3)[(n3 + min(n1, n2)) + n7] = (n7 + min(n1, n2) < n1 ⊃ ((n7 + min(n1, n2)) + n3 < # buf ⊃ buf[(n7 + min(n1, n2)) + n3];mkempbuf(n0)[(n7 + min(n1, n2)) + n3 - # buf]) ;subarray(buf3, n1 + n3, n5)[n7 + min(n1, n2) - n1] )

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 191:
# avol0 = # avol1, # lpt0 = # avol1, # buf2 = EB_PAGE_SIZE, min(n1, n2) + n4 = n1 + n5, n3 + n5 + n1 = # buf3, LEB_SIZE = n0 + # buf0 + # buf, avol0[m2] = mapped(buf0 + buf), avol1[m2] = mapped(buf0 + buf), subarray(buf2, 0, n2) = subarray(buf, n3, n2), (n7 + min(n1, n2)) + n3 < # buf + n0, min(n1, n2) < n1 + n5, n3 < # buf3, n3 + n2 < # buf, n3 < # buf, m2 < # avol1, n2 < EB_PAGE_SIZE, # buf0 < LEB_SIZE, (n3 + # buf0) + n2 < LEB_SIZE, n3 < n0 + # buf, n7 < n4, min(n1, n2) + n7 < n1, awbuf-inv(avol1, buffered(m2)), ebm-vol-inv(avol0), is-aligned(n3 + # buf0, EB_PAGE_SIZE), min(n1, n2) ≤ EB_PAGE_SIZE, n1 + n3 ≤ # buf + n0 ⊦ subarray(buf + mkempbuf(n0), 0, n1 + n3)[(n3 + min(n1, n2)) + n7] = ((n7 + min(n1, n2)) + n3 < # buf ⊃ buf[(n7 + min(n1, n2)) + n3];mkempbuf(n0)[(n7 + min(n1, n2)) + n3 - # buf])

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic