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Proof step 3 from proof inv-add4 (previous step)

remove-refsize0(gstore0) = gstore0, elems nx ∩ jro = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ jro, pmaxino ≠ 0, p_os < pmaxino, fi.inos < jmaxino, fi0.inos < pmaxino, inv(gstore \ jro), inv(gstore0), refsize-cons(gstore, range fi), refsize-cons(gstore0, range fi0), ri-inj(fi), ri-inj(fi0), pmaxino ≤ jmaxino, fi.lebs ⊆ dom gstore, fi0.lebs ⊆ dom gstore0, ¬ dups(nx), jvalid ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro) ⊦ ⟪gjournal_journal_add4# (nd, nd0, nd1, nd2, jvalid0, fi, fi0, gstore0, pmaxino, p_os; adr, adr0, adr1, adr2, jvalid, jmaxino0, jro, gstore, nx, jvalid1; err)⟫ ( (jvalid ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro)) ∧ fi.lebs ⊆ dom gstore ∧ refsize-cons(gstore, range fi) ∧ inv(gstore \ jro) ∧ elems nx ∩ jro = ∅ ∧ ¬ dups(nx) ∧ dom gstore0 ∪ elems nx = dom gstore ∪ jro)

User applied rule call right

And obtained the following new goals

Proof step 4:
jvalid1 ↔ jvalid3, jvalid0 ↔ jvalid4, jvalid ↔ jvalid2, adr = adr3, adr0 = adr4, adr1 = adr5, adr2 = adr6, fi = fi1, fi0 = fi2, jmaxino = jmaxino0, nd = nd3, nd0 = nd4, nd1 = nd5, nd2 = nd6, remove-refsize0(gstore0) = gstore0, elems nx ∩ jro = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ jro, fi1.inos < pmaxino, fi2.inos < jmaxino1, p_os < pmaxino, inv(gstore0), inv(gstore \ jro), refsize-cons(gstore0, range fi1), refsize-cons(gstore, range fi2), ri-inj(fi1), ri-inj(fi2), pmaxino ≤ jmaxino1, fi1.lebs ⊆ dom gstore0, fi2.lebs ⊆ dom gstore, jvalid4 ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro) ⊦ ⟪let ndx = nd2 + nd1 + nd0 + nd ', ax = ? in {gjournal_journal_addn#(ndx, jvalid1, fi0, fi, gstore0, pmaxino, p_os; ax, jvalid0, jmaxino, jro, gstore, nx, jvalid; err); if err = ESUCCESS then {adr2 := ax[0]; adr1 := ax[1]; adr0 := ax[2]; adr := ax[3]}}⟫ ( (jvalid0 ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro)) ∧ fi2.lebs ⊆ dom gstore ∧ refsize-cons(gstore, range fi2) ∧ inv(gstore \ jro) ∧ elems nx ∩ jro = ∅ ∧ ¬ dups(nx) ∧ dom gstore0 ∪ elems nx = dom gstore ∪ jro), pmaxino = 0, dups(nx)

Rule argument

pos: right 1

Additional information

Used simplifier rules: add4: ⊦ ;