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Proof step 61 from proof initialization (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)) ⊦ lpt-free-unref(fill(mklparray(m3), mklp(0, 0, LP_FREE, 0)))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: persistence-base name: lpt-free-unref seq: ⊦ lpt-free-unref(lpt) ↔ (∀ n. n < # lpt ∧ lpt[n].flags = LP_FREE → lpt[n].ref-size = 0) subst: [lpt] → [fill(mklparray(m3), mklp(0, 0, LP_FREE, 0))] flags: <all paths>

Additional information

Used simplifier rules: ⊦ # fill(lpt, lp) = # lpt; (s)% ⊦ # mklparray(n) = n; (s)% ⊦ m < n → fill(mklparray(n), lp)[m] = lp; (s)% ⊦ mklp(n2, n3, lpf, m).flags = lpf; (s)% ⊦ mklp(n2, n3, lpf, m).ref-size = n2; (s) Used terms: fill(mklparray(m3), mklp(0, 0, LP_FREE, 0))