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Proof step 440 from proof inv-write_inode (previous step)

icache[m] = mkientry(boolvar, inode0), 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[inode0.ino, mkientry(true, (inode0.meta:= md).size:= m2)], dirs, files) ∧ synced(dirs, icache[inode0.ino, mkientry(true, (inode0.meta:= md).size:= m2)], pcache)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 441:
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)

Rule argument

spec: inode name: elim seq: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2) subst: [inode, m, md, boolvar, m0, m1, m2] → [inode0, m0, md0, boolvar0, m1, m3, m4]

Additional information

Used simplifier rules: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2); (elim) Used terms: inode0, m0, md0, boolvar0, m1, m3, m4