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

# lpt0 = # avol, # lpt1 = # avol, keyset(gch) = gc-heap(lpt1, log0), freelist ≠ [], awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt1), buf-ro-rw-mode(false, bleb, lpt1, avol), bufs-log-only(bleb, log0, lpt1), freelist-cons(lpt1, freelist), log-group-block(log0, lpt1), lpt-free-unref(lpt0), lpt-free-unref(lpt1), lpt-leb-size(lpt0), lpt-leb-size(lpt1), lpt-ram-flash(lpt1, lpt0, log0), synced(avol) ⊦ ⟪awbuf_remap#(freelist.head, adr, m, log0, lpt0, ns, bleb, false; avol; err); n := freelist.head; if err = ESUCCESS then {freelist := freelist.tail; lpt1[n] := mklp(lpt1[n].ref-size, 0, lpt1[n].flags, lpt1[n].gcheapidx); lpt1[n].ref-size := 0}; isbuf1 := false; if err = ESUCCESS then {awbuf_move_buf#(n, 0, adr, m, log0, avol, lpt0, ns, isbuf1; bleb; err); if err ≠ ESUCCESS then freelist := n ' + freelist else lpt1[n].flags := LP_INDEX_NODES}⟫ ( lpt-free-unref(lpt1) ∧ freelist-cons(lpt1, freelist) ∧ bin-heap-inv(gch, lpt1) ∧ keyset(gch) = gc-heap(lpt1, log0) ∧ bufs-log-only(bleb, log0, lpt1) ∧ # lpt1 = # avol ∧ log-group-block(log0, lpt1) ∧ buf-ro-rw-mode(isbuf1, bleb, lpt1, avol) ∧ lpt-leb-size(lpt1) ∧ lpt-ram-flash(lpt1, lpt0, log0) ∧ awbuf-inv(avol, bleb) ∧ # lpt0 = # avol)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

spec: list-data, inst: nat-list-set name: elim-list-c seq: nx ≠ [] ⊦ n = nx.head ∧ nx0 = nx.tail ↔ nx = n + nx0 subst: [nx, n, nx0] → [freelist, n0, nx]

Additional information

Used simplifier rules: nx ≠ [] ⊦ n = nx.head ∧ nx0 = nx.tail ↔ nx = n + nx0; (elim) Used terms: freelist, n0, nx