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Proof step 441 from proof inv-write_inode (previous step)

icache[m] = mkientry(boolvar, inode0), inode0 = mkinode(m0, md0, boolvar0, m1, m3, m4), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ icache, m ∈ files ⊦ icache-cons(icache[m0, mkientry(true, (inode0.meta:= md).size:= m2)], dirs, files) ∧ synced(dirs, icache[m0, mkientry(true, (inode0.meta:= md).size:= m2)], pcache)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 442:
icache[m] = mkientry(boolvar, mkinode(m0, md0, boolvar0, m1, m3, m4)), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ files, m ∈ icache ⊦ icache-cons(icache[m0, mkientry(true, mkinode(m0, md, boolvar0, m1, m3, m2))], dirs, files) ∧ synced(dirs, icache[m0, mkientry(true, mkinode(m0, md, boolvar0, m1, m3, m2))], pcache)

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).size:= m6 = mkinode(m, md, boolvar, m0, m1, m6); (s)%⊦ mkinode(m, md, boolvar, m0, m1, m2).meta:= md0 = mkinode(m, md0, boolvar, m0, m1, m2); (s)