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Proof step 67 from proof inv-recover (previous step)

# avol2 = # avol0, # lpt2 = # avol0, # avol = # avol0, # lpt3 = # avol0, gc-heap(replay-lpt(replay-log(lpt3, log2), log2, # avol0), log2) = keyset(gch), keyset(gch1) = gc-heap(lpt2, log2), avol-replay-lpt-unchanged(avol, avol2, replay-log(lpt3, log2), log2), awbuf-inv(avol0, bleb1), awbuf-inv(avol2, nobuffer), bin-heap-inv(gch, lpt), bin-heap-inv(gch1, lpt2), buf-ro-rw-mode(isbuf1, bleb1, lpt2, avol0), bufs-log-only(bleb1, log2, lpt2), freelist-cons(replay-lpt(replay-log(lpt3, log2), log2, # avol0), freelist), freelist-cons(lpt2, log5), id-idx(replay-lpt(replay-log(lpt3, log2), log2, # avol0), lpt), log-group-block(log2, replay-lpt(replay-log(lpt3, log2), log2, # avol0)), log-group-block(log2, lpt2), lpt-free-unref(lpt3), lpt-free-unref(lpt2), lpt-leb-size(lpt3), lpt-leb-size(lpt2), lpt-ram-flash(lpt2, lpt3, log2), synced(avol), synced(avol0), valid-indices(lpt3, log2), avol ↓ avol0 ⊦ dups(log2), # lpt = # avol0 ∧ lpt-leb-size(replay-lpt(replay-log(lpt3, log2), log2, # avol0)) ∧ lpt-ram-flash(lpt, lpt3, log2)

User applied rule case distinction

And obtained the following new goals

Rule argument

pos: right 2

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