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

# lpt = # avol, avol[m3] = mapped(buf0), m3 < # avol, awbuf-inv(avol, bleb), synced(avol0), avol0 ↓ avol, m0 + n ≤ LEB_SIZE, n ≤ # buf ⊦ ∃ buf1. # buf1 = # buf ∧ range=(buf1, n, buf, n, # buf - n) ∧ ⟨buf := buf1⟩ true

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 15:
# lpt = # avol, # buf = n0 + n, avol[m3] = mapped(buf0), m3 < # avol, awbuf-inv(avol, bleb), synced(avol0), avol0 ↓ avol, n ≤ # buf, m0 + n ≤ LEB_SIZE ⊦ ∃ buf1. # buf1 = # buf ∧ range=(buf1, n, buf, n, n0) ∧ ⟨buf := buf1⟩ true

Rule argument

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

Additional information

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