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Proof step 59 from proof inv-commit (previous step)

# avol = # lpt, # lpt0 = # lpt, # lpt2 = # lpt, keyset(gch1) = gc-heap(cleanup-lpt(lpt), []), keyset(gch0) = gc-heap(lpt2, []), keyset(gch) = gc-heap(lpt2, log1), avol-cleanup-lpt-unchanged(avol, avol0, lpt), awbuf-inv(avol0, nobuffer), awbuf-inv(avol, nobuffer), awbuf-inv(avol, bleb0), bin-heap-inv(gch1, lpt1), bin-heap-inv(gch0, lpt), bin-heap-inv(gch, lpt2), buf-ro-rw-mode(false, bleb0, lpt2, avol), bufs-log-only(bleb0, log1, lpt2), freelist-cons(cleanup-lpt(lpt), freelist0), freelist-cons(lpt2, freelist), id-idx(cleanup-lpt(lpt), lpt1), id-idx(lpt2, lpt), log-group-block(log1, lpt2), lpt-free-unref(lpt0), lpt-free-unref(lpt2), lpt-leb-size(lpt0), lpt-leb-size(lpt2), lpt-ram-flash(lpt2, lpt0, log1), synced(avol0), synced(avol), ∀ n. n ∈ log1 → n < # lpt ∧ lpt2[n].flags = LP_GROUP_NODES ⊦ dups(log1), # lpt1 = # avol0 ∧ lpt-leb-size(cleanup-lpt(lpt)) ∧ lpt-ram-flash(lpt1, lpt2, []) ∧ # lpt = # avol0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: persistence-base name: lpt-ram-flash-id-idx seq: ⊦ id-idx(lpt0, lpt1) → (lpt-ram-flash(lpt1, lpt, nx) ↔ lpt-ram-flash(lpt0, lpt, nx)) subst: [lpt0, nx, lpt, lpt1] → [cleanup-lpt(lpt), [], lpt2, lpt1] flags: <all paths>

Additional information

Used terms: cleanup-lpt(lpt), [], lpt2, lpt1