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Proof step 46 from proof refine-read (previous step)

# buf2 = (n4 + n2) + n3, LEB_SIZE = n0 + n1, avols[default-volid][m2] = mapped(buf0, n1), n < # buf2, m2 < # avols[default-volid], n - n3 < # subarray(subarray(buf0, 0, n1) + mkempbuf(n0), m1, n2) + # subarray(buf2, n3 + n2, n4), ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), default-volid ∈ avols, n3 ≤ # buf2, n1 ≤ LEB_SIZE, n3 + n2 ≤ # buf2, m1 + n2 ≤ LEB_SIZE, n2 + n3 ≤ # buf2 ⊦ (n < n3 ∨ n3 + n2 ≤ n ⊃ buf2[n];buf0[n + m1 - n3]) = (n < n3 ⊃ buf2[n] ;(n - n3 < # subarray(subarray(buf0, 0, n1) + mkempbuf(n0), m1, n2) ⊃ subarray(subarray(buf0, 0, n1) + mkempbuf(n0), m1, n2)[n - n3] ;subarray(buf2, n3 + n2, n4)[n - n3 - # subarray(subarray(buf0, 0, n1) + mkempbuf(n0), m1, n2)] ) )

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 47:
# buf2 = (n4 + n2) + n3, LEB_SIZE = n0 + n1, avols[default-volid][m2] = mapped(buf0, n1), m2 < # avols[default-volid], n < # buf2, ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), default-volid ∈ avols, n2 + n3 ≤ # buf2, m1 + n2 ≤ LEB_SIZE, n3 + n2 ≤ # buf2, n1 ≤ LEB_SIZE, n3 ≤ # buf2 ⊦ (n < n3 ∨ n3 + n2 ≤ n ⊃ buf2[n];buf0[n + m1 - n3]) = (n < n3 ⊃ buf2[n];(n < n2 + n3 ⊃ subarray(subarray(buf0, 0, n1) + mkempbuf(n0), m1, n2)[n - n3];subarray(buf2, n3 + n2, n4)[n - n3 - n2]))

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%n0 ≤ n ⊦ n - n0 < m ↔ n < m + n0; (s)% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ # subarray(buf, m, n) = n; (s)