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Proof step 47 from proof inv-commit (previous step)

# lpt2 = # avol, # lpt0 = # avol, lpt2[n] = mklp(m, m0, lpf, m1), keyset(gch) = gc-heap(lpt2, log1), awbuf-inv(avol, nobuffer), awbuf-inv(avol, bleb0), bin-heap-inv(gch, lpt2), buf-ro-rw-mode(false, bleb0, lpt2, avol), bufs-log-only(bleb0, log1, lpt2), freelist-cons(lpt2, freelist), log-group-block(log1, lpt2), lpt-free-unref(lpt2), lpt-free-unref(lpt0), lpt-leb-size(lpt2), lpt-leb-size(lpt0), lpt-ram-flash(lpt2, lpt0, log1), synced(avol), n ∈ log1 ⊦ dups(log1), n < # avol ∧ lpf = LP_GROUP_NODES

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 48:
⊦ log-group-block(nx, lpt) ↔ (∀ n. n ∈ nx → n < # lpt ∧ lpt[n].flags = LP_GROUP_NODES)
Proof step 49:
# lpt0 = # avol, # lpt2 = # avol, lpt2[n] = mklp(m, m0, lpf, m1), keyset(gch) = gc-heap(lpt2, log1), awbuf-inv(avol, bleb0), awbuf-inv(avol, nobuffer), bin-heap-inv(gch, lpt2), buf-ro-rw-mode(false, bleb0, lpt2, avol), bufs-log-only(bleb0, log1, lpt2), freelist-cons(lpt2, freelist), lpt-free-unref(lpt0), lpt-free-unref(lpt2), lpt-leb-size(lpt0), lpt-leb-size(lpt2), lpt-ram-flash(lpt2, lpt0, log1), synced(avol), n ∈ log1, ∀ n. n ∈ log1 → n < # lpt2 ∧ lpt2[n].flags = LP_GROUP_NODES ⊦ dups(log1), n < # avol ∧ lpf = LP_GROUP_NODES

Rule argument

spec: persistence-base name: log-group-block seq: ⊦ log-group-block(nx, lpt) ↔ (∀ n. n ∈ nx → n < # lpt ∧ lpt[n].flags = LP_GROUP_NODES) subst: [lpt, nx] → [lpt2, log1] flags: <all paths>

Additional information

Used terms: lpt2, log1