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Proof step 20 from proof inv-read-ind (previous step)

# lpt0 = # avol, # lpt = # avol, 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), m3 + m2 ≤ LEB_SIZE, # buf1 ≤ LEB_SIZE, m3 + m2 ≤ # buf1 + (LEB_SIZE - # buf1), 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

Proof step 21:
# lpt = # avol, # lpt0 = # 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), m3 + m2 ≤ # buf1, m3 + m2 ≤ # buf1 + n0, # buf1 ≤ LEB_SIZE, m3 + m2 ≤ LEB_SIZE ⊦ ⟪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))

Rule argument

spec: nat name: elim-sub seq: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n subst: [m, n, n0] → [LEB_SIZE, # buf1, n]

Additional information

Used simplifier rules: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n; (elim) Used terms: LEB_SIZE, # buf1, n