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Proof step 3 from proof inv-get-gc-block (previous step)

# lpt = # avol, keyset(gch) = gc-heap(lpt, log), n = n0, bin-heap-inv(gch, lpt), buf-ro-rw-mode(isbuf, bleb, lpt, avol), bufs-log-only(bleb, log, lpt), freelist-cons(lpt, freelist), log-group-block(log, lpt), lpt-free-unref(lpt), lpt-leb-size(lpt), lpt-ram-flash(lpt, lpt0, log), ¬ dups(log) ⊦ ⟪persistence_get_gc_block#(gch; n0; err)⟫ ( (err = ENOSPC ∨ err = ESUCCESS) ∧ (err ≠ ESUCCESS → n0 = n) ∧ (err = ESUCCESS → n0 < # avol ∧ lpt[n0].flags = LP_GROUP_NODES ∧ ¬ n0 ∈ log))

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 4:
# lpt = # avol, keyset(gch) = gc-heap(lpt, log), n = n0, n1 = n0, bin-heap-inv(gch, lpt), buf-ro-rw-mode(isbuf, bleb, lpt, avol), bufs-log-only(bleb, log, lpt), freelist-cons(lpt, freelist), log-group-block(log, lpt), lpt-free-unref(lpt), lpt-leb-size(lpt), lpt-ram-flash(lpt, lpt0, log) ⊦ ⟪let empty? = ? in {gc_heap_is_empty#(gch; empty?); if empty? then err := ENOSPC else {gc_heap_get_min#(gch; n); err := ESUCCESS}}⟫ ((err = ENOSPC ∨ err = ESUCCESS) ∧ (err ≠ ESUCCESS → n = n1) ∧ (err = ESUCCESS → n < # avol ∧ lpt[n].flags = LP_GROUP_NODES ∧ ¬ n ∈ log)), dups(log)

Rule argument

pos: right 1

Additional information

Used simplifier rules: get-gc-block: ⊦ ;