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Proof step 36 from proof inv-writemeta (previous step)

(ino0 ∈ dirs ⊃ mkinode(ino0, dirs[ino0].meta, true, dirs[ino0].nlink, dirs[ino0].nsubdirs, dirs[ino0].size) ;mkinode(ino0, files[ino0].meta, false, files[ino0].nlink, 0, files[ino0].size) ) = mkinode(m, md0, boolvar, m0, m1, m2), afs-cons(dirs, files), ispath(p, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pw(user, md0), px-parent(user, p, ROOT_INO, dirs, files), ino0 ∈ dirs ∨ ino0 ∈ files ⊦ m ∈ dirs ∧ m0 = dirs[m].nlink ∧ m2 = dirs[m].size ∧ m1 = dirs[m].nsubdirs ∧ boolvar, m ∈ files ∧ m0 = files[m].nlink ∧ m1 = 0 ∧ ¬ boolvar

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 37:
(ino0 ∈ dirs ⊃ mkinode(ino0, dirs[ino0].meta, true, dirs[ino0].nlink, dirs[ino0].nsubdirs, dirs[ino0].size) ;mkinode(ino0, files[ino0].meta, false, files[ino0].nlink, 0, files[ino0].size) ) = mkinode(m, md0, boolvar, m0, m1, m2), files[m] = mkfile(m3, md, m4, content), afs-cons(dirs, files), ispath(p, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pw(user, md0), px-parent(user, p, ROOT_INO, dirs, files), ino0 ∈ dirs ∨ ino0 ∈ files ⊦ m ∈ files ∧ m0 = m4 ∧ m1 = 0 ∧ ¬ boolvar, m ∈ dirs ∧ m0 = dirs[m].nlink ∧ m2 = dirs[m].size ∧ m1 = dirs[m].nsubdirs ∧ boolvar

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[m], m3, md, m4, 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[m], m3, md, m4, content