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Proof step 22 from proof inv-read-ind (previous step)

# lpt0 = # avol, # lpt = # avol, LEB_SIZE = n0 + # buf1, avol[m4] = mapped(buf1), m4 < # avol, abs-node(subarray(buf1, m3, m2), ind), awbuf-inv(avol, bleb), buf-ro-rw-mode(isbuf, bleb, lpt0, avol), bufs-log-only(bleb, log0, lpt0), lpt-free-unref(lpt), lpt-leb-size(lpt), lpt-ram-flash(lpt0, lpt, log0), # buf1 ≤ LEB_SIZE, m3 + m2 ≤ LEB_SIZE, m3 + m2 ≤ # buf1 ⊦ ⟪decode_index_node#(0, m2, copy(avol[m4].data + mkempbuf(LEB_SIZE - # avol[m4].data), m3, mkbuf(m2), 0, m2); ind0; err0)⟫ ((err0 = ESUCCESS ∨ ⌊err0⌋ ) ∧ (err0 = ESUCCESS → ind = ind0))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

spec: nat name: elim-sub seq: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n subst: [n, m, n0] → [# avol[m4].data, LEB_SIZE, n]

Additional information

Used simplifier rules: ⊦ m ≤ n ↔ ¬ n < m; (ss)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat% ⊦ mapped(buf).data = buf; (s)% ⊦ # buf = 0 ↔ buf = mkbuf(0); (s)% ⊦ ¬ m + n < m; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic%n ≤ m ⊦ n0 = m - n ↔ m = n0 + n; (elim) Used terms: # avol[m4].data, LEB_SIZE, n