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Proof step 44 from proof inv-format (previous step)

awbuf-inv(fill(mkavolume(m3), unmapped), nobuffer), freelist-cons(fill(mklparray(m3), mklp(0, 0, LP_FREE, 0)), freelist), synced(fill(mkavolume(m3), unmapped)) ⊦ (∀ n. n < # fill(mklparray(m3), mklp(0, 0, LP_FREE, 0)) ∧ fill(mklparray(m3), mklp(0, 0, LP_FREE, 0))[n].flags = LP_FREE → fill(mklparray(m3), mklp(0, 0, LP_FREE, 0))[n].ref-size = 0) ∧ bin-heap-inv(bin-heap(mkkeyarray(1), 0), fill(mklparray(m3), mklp(0, 0, LP_FREE, 0))) ∧ lpt-leb-size(fill(mklparray(m3), mklp(0, 0, LP_FREE, 0)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 45:
awbuf-inv(fill(mkavolume(m3), unmapped), nobuffer), freelist-cons(fill(mklparray(m3), mklp(0, 0, LP_FREE, 0)), freelist), synced(fill(mkavolume(m3), unmapped)) ⊦ bin-heap-inv(bin-heap(mkkeyarray(1), 0), fill(mklparray(m3), mklp(0, 0, LP_FREE, 0))) ∧ lpt-leb-size(fill(mklparray(m3), mklp(0, 0, LP_FREE, 0)))

Rule argument

Additional information

Used simplifier rules: ⊦ mklp(n2, n3, lpf, m).ref-size = n2; (s)% ⊦ mklp(n2, n3, lpf, m).flags = lpf; (s)% ⊦ m < n → fill(mklparray(n), lp)[m] = lp; (s)% ⊦ # mklparray(n) = n; (s)% ⊦ # fill(lpt, lp) = # lpt; (s)