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Proof step 57 from proof refine-read (previous step)

# buf2 = (n4 + n2) + n3, LEB_SIZE = n0 + n1, avols[default-volid][m2] = mapped(buf0, n1), n5 < n2, m2 < # avols[default-volid], n3 < # buf2, n5 < n4 + n2, m1 + n5 < # subarray(buf0, 0, n1) + # mkempbuf(n0), ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), default-volid ∈ avols, n1 ≤ LEB_SIZE, n3 + n2 ≤ # buf2, m1 + n2 ≤ LEB_SIZE, n2 + n3 ≤ # buf2 ⊦ buf0[n5 + m1] = (m1 + n5 < # subarray(buf0, 0, n1) ⊃ subarray(buf0, 0, n1)[m1 + n5];mkempbuf(n0)[m1 + n5 - # subarray(buf0, 0, n1)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 58:
# buf2 = (n4 + n2) + n3, LEB_SIZE = n0 + n1, avols[default-volid][m2] = mapped(buf0, n1), m1 + n5 < LEB_SIZE, n5 < n2, m2 < # avols[default-volid], n3 < # buf2, n5 < n4 + n2, ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), default-volid ∈ avols, n1 ≤ LEB_SIZE, n3 + n2 ≤ # buf2, m1 + n2 ≤ LEB_SIZE, n2 + n3 ≤ # buf2 ⊦ buf0[n5 + m1] = (m1 + n5 < n1 ⊃ buf0[m1 + n5];mkempbuf(n0)[m1 + n5 - n1])

Rule argument

Additional information

Used simplifier rules: ⊦ LEB_SIZE ≠ 0; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ # mkempbuf(n) = n; (s)%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)