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Proof step 86 from proof inv-truncate (previous step)

dom gstore = dom gstore3, remove-refsize0(gstore1) = gstore1, elems nx ∩ jro = ∅, as ∩ range(fi1 \ datakeys(key, n, fi1)) = ∅, dom gstore1 ∪ elems nx = dom gstore3 ∪ jro, p_os < pmaxino, fi1.inos < jmaxino, fi2.inos < pmaxino, gstore =○refsize gstore3, inv(gstore3 \ jro), inv(gstore1), inv(gstore \ jro), refsize-cons(gstore3, range fi1), refsize-cons(gstore1, range fi2), refsize-cons(gstore, range(fi1 \ datakeys(key, n, fi1)) ∪ as), ri-inj(fi1 \ datakeys(key, n, fi1)), ri-inj(fi1), ri-inj(fi2), pmaxino ≤ jmaxino, fi1.lebs ⊆ dom gstore3, fi2.lebs ⊆ dom gstore1, as.lebs ⊆ dom gstore3, jvalid2 ∧ nx ≠ [] → valid-journal-head(nx, gstore3, jro), jvalid2 ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro) ⊦ # as = 0, pmaxino = 0, dups(nx), ∀ adr. adr ∈ as ↔ adr ∈ ∅, ∃ adr. adr ∈ as

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 87:
dom gstore = dom gstore3, remove-refsize0(gstore1) = gstore1, as ∩ range(fi1 \ datakeys(key, n, fi1)) = ∅, elems nx ∩ jro = ∅, dom gstore1 ∪ elems nx = dom gstore3 ∪ jro, fi2.inos < pmaxino, fi1.inos < jmaxino, p_os < pmaxino, gstore =○refsize gstore3, inv(gstore \ jro), inv(gstore1), inv(gstore3 \ jro), refsize-cons(gstore, range(fi1 \ datakeys(key, n, fi1)) ∪ as), refsize-cons(gstore1, range fi2), refsize-cons(gstore3, range fi1), ri-inj(fi2), ri-inj(fi1), ri-inj(fi1 \ datakeys(key, n, fi1)), adr ∈ as, pmaxino ≤ jmaxino, as.lebs ⊆ dom gstore3, fi2.lebs ⊆ dom gstore1, fi1.lebs ⊆ dom gstore3, jvalid2 ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro), jvalid2 ∧ nx ≠ [] → valid-journal-head(nx, gstore3, jro) ⊦ # as = 0, pmaxino = 0, dups(nx), ∃ adr. adr ∈ as

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ adr ∈ ∅; (s)