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Proof step 75 from proof inv-evict (previous step)

# links(m, dirs) = 0, dirs[m] = mkdir(m0, md, 0, m2, entries), pcache[key] = mkpentry(boolvar, buf), afs-cons(dirs -- m, files), afs-cons(dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ dirs, key ∈ pcache, asynced1 → synced(files, icache, pcache) ⊦ m = ROOT_INO, key.data? ∧ # buf = VFS_PAGE_SIZE ∧ key.ino ∈ files ∧ (¬ boolvar → key.part ∈ files[key.ino].content ∧ buf = files[key.ino].content[key.part])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 76:
# links(m, dirs) = 0, pcache[key] = mkpentry(boolvar, buf), dirs[m] = mkdir(m0, md, 0, m2, entries), files[key.ino] = mkfile(m1, md0, m3, content), afs-cons(dirs, files), afs-cons(dirs -- m, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), key ∈ pcache, m ∈ dirs, asynced1 → synced(files, icache, pcache) ⊦ m = ROOT_INO, key.data? ∧ # buf = VFS_PAGE_SIZE ∧ key.ino ∈ files ∧ (¬ boolvar → key.part ∈ content ∧ buf = content[key.part])

Rule argument

spec: abstract-file name: elim seq: ⊦ ((m = af.size ∧ md = af.meta) ∧ m0 = af.nlink) ∧ content = af.content ↔ af = mkfile(m, md, m0, content) subst: [af, m, md, m0, content] → [files[key.ino], m1, md0, m3, content]

Additional information

Used simplifier rules: ⊦ ((m = af.size ∧ md = af.meta) ∧ m0 = af.nlink) ∧ content = af.content ↔ af = mkfile(m, md, m0, content); (elim) Used terms: files[key.ino], m1, md0, m3, content