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Proof step 24 from proof inv-put-inode (previous step)

files[of[n].ino].nlink = 0, afs-cons(dirs, files -- of[n].ino), afs-cons(dirs, files), of-cons(of, dirs, files), of[n].ino ∈ files, n ∈ of ⊦ of[n].ino = ROOT_INO, is-open(of[n].ino, of), of[n].ino ∈ dirs

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 25:
files[of[n].ino] = mkfile(m, md, m0, content), m0 = 0, afs-cons(dirs, files), afs-cons(dirs, files -- of[n].ino), of-cons(of, dirs, files), n ∈ of, of[n].ino ∈ files ⊦ of[n].ino = ROOT_INO, is-open(of[n].ino, of), of[n].ino ∈ dirs

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[of[n].ino], m, md, m0, 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[of[n].ino], m, md, m0, content