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Proof step 46 from proof inv-deallocate-gnd (previous step)

# lpt2 = # avol, # lpt0 = # avol, lpt2[n] = mklp(m3, m1, LP_GROUP_NODES, m2), lpt2[n0] = mklp(m, m0, lpf, m4), keyset(gch) = gc-heap(lpt2, log0), keyset(gch0) = gc-heap(lpt2, log0) -- key-index(m3, n), n < # avol, awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt2), bin-heap-inv(gch0, lpt), buf-ro-rw-mode(false, bleb, lpt2, avol), bufs-log-only(bleb, log0, lpt2), freelist-cons(lpt2, freelist), id-idx(lpt2[n, mklp(0, 0, LP_FREE, m2)], lpt), lpt-free-unref(lpt2), lpt-free-unref(lpt0), lpt-leb-size(lpt2), lpt-leb-size(lpt0), lpt-ram-flash(lpt2, lpt0, log0), synced(avol), key-index(m3, n) ∈ gc-heap(lpt2, log0), n0 ∈ log0, ∀ n. n ∈ log0 → n < # avol ∧ lpt2[n].flags = LP_GROUP_NODES ⊦ # gc-heap(lpt2, log0) = 0, buffered(n) = bleb, gc-heap(lpt2, log0) = ∅, dups(log0), n ∈ log0, n0 < # avol ∧ lpf = LP_GROUP_NODES, bufs-log-only(bleb, log0, lpt2[n, mklp(0, 0, LP_FREE, m2)]) ∧ # lpt = # avol ∧ log-group-block(log0, lpt) ∧ lpt-ram-flash(lpt, lpt0, log0)

User applied rule all left

And closed the goal!

Rule argument

pos: left 23 terms: n0 abort: F discard: T computed: T

Additional information

Used simplifier rules: lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic% ⊦ mklp(n2, n3, lpf, m).flags = lpf; (s) Used terms: n0