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Proof step 6 from proof inv-commit (previous step)

# lpt1 = # avol, # lpt2 = # avol, keyset(gch) = gc-heap(lpt2, log1), awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt2), buf-ro-rw-mode(isbuf, bleb, lpt2, avol), bufs-log-only(bleb, log1, lpt2), freelist-cons(lpt2, freelist), log-group-block(log1, lpt2), lpt-free-unref(lpt1), lpt-free-unref(lpt2), lpt-leb-size(lpt1), lpt-leb-size(lpt2), lpt-ram-flash(lpt2, lpt1, log1), synced(avol), ¬ dups(log1) ⊦ ⟪awbuf_destroy_buf#(adr, m, log1, avol, lpt1, ns, isbuf; bleb; err); log := log1; if err = ESUCCESS then awbuf_commit#(lpt2, adr0, m0, avol, bleb; ns0, adr, m, log, lpt1, ns, isbuf; err); if err = ESUCCESS then {persistence_gc_heap_add_log#(; log1, lpt2, gch); persistence_cleanup_lpt#(adr, m, log, lpt1, ns, bleb, isbuf; lpt2, freelist, gch, avol)}⟫ ( lpt-free-unref(lpt2) ∧ lpt-free-unref(lpt1) ∧ freelist-cons(lpt2, freelist) ∧ log1 = log ∧ bin-heap-inv(gch, lpt2) ∧ keyset(gch) = gc-heap(lpt2, log) ∧ bufs-log-only(bleb, log, lpt2) ∧ # lpt2 = # avol ∧ ¬ dups(log) ∧ log-group-block(log, lpt2) ∧ buf-ro-rw-mode(isbuf, bleb, lpt2, avol) ∧ lpt-leb-size(lpt2) ∧ lpt-leb-size(lpt1) ∧ lpt-ram-flash(lpt2, lpt1, log) ∧ awbuf-inv(avol, bleb) ∧ # lpt1 = # avol ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → bleb = nobuffer) ∧ (err = ESUCCESS ↔ ¬ isbuf))

User applied rule insert program lemma

And obtained the following new goals

Rule argument

spec: awbuf-asm name: inv-destroy-buf seq: awbuf-inv(avol, bleb), # lpt = # avol, synced(avol) ⊦ ⟪awbuf_destroy_buf# (adr, m, nx, avol, lpt, ns, isbuf; bleb; err)⟫ awbuf-inv(avol, bleb) subst: [isbuf, ns, lpt, avol, nx, m, adr, bleb, err] → [isbuf, ns, lpt1, avol, log1, m, adr, bleb, err] flags: <all paths>

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