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Proof step 7 from proof prepost-create-freelist (previous step)

⊦ freelist-cons(mklparray(0), [])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ freelist-cons(lpt, freelist) ↔ ¬ dups(freelist) ∧ (∀ n. n < # lpt ∧ lpt[n].flags = LP_FREE ↔ n ∈ freelist)

Rule argument

spec: persistence-base name: freelist-cons seq: ⊦ freelist-cons(lpt, freelist) ↔ ¬ dups(freelist) ∧ (∀ n. n < # lpt ∧ lpt[n].flags = LP_FREE ↔ n ∈ freelist) subst: [freelist, lpt] → [[], mklparray(0)] flags: <all paths>

Additional information

Used simplifier rules: ⊦ ¬ dups([]); (s)% ⊦ # mklparray(n) = n; (s)% ⊦ ¬ m < 0; (s)% ⊦ ¬ n ∈ []; (s) Used terms: [], mklparray(0)