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Proof step 232 from proof inv-write_inode (previous step)

err = ESUCCESS, afs-cons(dirs, files[m, (files[m].meta:= md).size:= m2]), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), synced(files, icache, pcache), m ∈ files, m ∈ icache ⊦ ⟪icache_set#((icache[m].inode.meta:= md).size:= m2, false; err, icache)⟫ ( icache-cons(icache, dirs, files[m, (files[m].meta:= md).size:= m2]) ∧ dcache-cons(dcache, dirs, files[m, (files[m].meta:= md).size:= m2]) ∧ pcache-cons(pcache, dirs, files[m, (files[m].meta:= md).size:= m2]) ∧ synced(dirs, icache, pcache) ∧ synced(files[m, (files[m].meta:= md).size:= m2], icache, pcache))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 233:
icache[m] = mkientry(boolvar, inode), err = ESUCCESS, afs-cons(dirs, files), afs-cons(dirs, files[m, (files[m].meta:= md).size:= m2]), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(files, icache, pcache), synced(dirs, icache, pcache), m ∈ icache, m ∈ files ⊦ ⟪icache_set#((inode.meta:= md).size:= m2, false; err, icache)⟫ ( icache-cons(icache, dirs, files[m, (files[m].meta:= md).size:= m2]) ∧ dcache-cons(dcache, dirs, files[m, (files[m].meta:= md).size:= m2]) ∧ pcache-cons(pcache, dirs, files[m, (files[m].meta:= md).size:= m2]) ∧ synced(dirs, icache, pcache) ∧ synced(files[m, (files[m].meta:= md).size:= m2], icache, pcache))

Rule argument

spec: icache-entry name: elim seq: ⊦ (boolvar ↔ ie.dirty) ∧ inode = ie.inode ↔ ie = mkientry(boolvar, inode) subst: [ie, boolvar, inode] → [icache[m], boolvar, inode]

Additional information

Used simplifier rules: ⊦ (boolvar ↔ ie.dirty) ∧ inode = ie.inode ↔ ie = mkientry(boolvar, inode); (elim) Used terms: icache[m], boolvar, inode