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Proof step 14 from proof crash-neutral-read (previous step)

m2 < # avols[v], ebm-cons(avols), ebm-cons(avols0), v ∈ avols, m1 + n ≤ LEB_SIZE, n0 + n ≤ # buf, avols ⊆ avols0 ⊦ ∃ buf0. # buf0 = # buf ∧ range=(buf0, 0, buf, 0, n0) ∧ range=(buf0, n0 + n, buf, n0 + n, # buf - n0 + n) ∧ ⟨buf := buf0⟩ true

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 15:
# buf = n1 + n0 + n, m2 < # avols[v], ebm-cons(avols0), ebm-cons(avols), v ∈ avols, n0 + n ≤ # buf, m1 + n ≤ LEB_SIZE, avols ⊆ avols0 ⊦ ∃ buf0. # buf0 = # buf ∧ range=(buf0, 0, buf, 0, n0) ∧ range=(buf0, n0 + n, buf, n0 + n, n1) ∧ ⟨buf := buf0⟩ true

Rule argument

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

Additional information

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