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Proof step 50 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), 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, ∀ n. n ∈ log1 → n < # avol ∧ lpt2[n].flags = LP_GROUP_NODES ⊦ dups(log1), n < # avol ∧ lpf = LP_GROUP_NODES

User applied rule all left

And closed the goal!

Rule argument

pos: left 18 terms: n abort: F discard: T computed: T

Additional information

Used simplifier rules: f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic% ⊦ mklp(n2, n3, lpf, m).flags = lpf; (s) Used terms: n