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Proof step 14 from proof inv-read (previous step)

avol[m2] = mapped(buf1), m2 < # avol, ebm-vol-inv(avol), n2 + n1 ≤ # buf, m1 + n1 ≤ LEB_SIZE, ⌊err0⌋ ⊦ ∃ buf1. # buf1 = # buf ∧ range=(buf, 0, buf1, 0, n2) ∧ range=(buf, n2 + n1, buf1, n2 + n1, # buf - n2 + n1)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 15:
# buf = n0 + n2 + n1, avol[m2] = mapped(buf1), m2 < # avol, ebm-vol-inv(avol), m1 + n1 ≤ LEB_SIZE, n2 + n1 ≤ # buf, ⌊err0⌋ ⊦ ∃ buf1. # buf1 = # buf ∧ range=(buf, 0, buf1, 0, n2) ∧ range=(buf, n2 + n1, buf1, n2 + n1, n0)

Rule argument

spec: nat name: elim-sub seq: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n subst: [m, n, n0] → [# buf, n2 + n1, n]

Additional information

Used simplifier rules: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n; (elim) Used terms: # buf, n2 + n1, n