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Proof step 35 from proof inv-readdir (previous step)

err = ESUCCESS, afs-cons(dirs, files), ispath(p0, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pr(user, dirs[ino0].meta), px-parent(user, p0, ROOT_INO, dirs, files), ino0 ∈ dirs ⊦ ⟪afs_readdir#(mkinode(ino0, dirs[ino0].meta, true, dirs[ino0].nlink, dirs[ino0].nsubdirs, dirs[ino0].size), dirs, files, asynced; strings, err)⟫ true

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 36:
dirs[ino0] = mkdir(m, md, m0, m1, entries), err = ESUCCESS, afs-cons(dirs, files), ispath(p0, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pr(user, md), px-parent(user, p0, ROOT_INO, dirs, files), ino0 ∈ dirs ⊦ ⟪afs_readdir#(mkinode(ino0, md, true, m0, m1, m), dirs, files, asynced; strings, err)⟫ true

Rule argument

spec: abstract-dir name: elim seq: ⊦ ( ((m = ad.size ∧ md = ad.meta) ∧ m0 = ad.nlink) ∧ m1 = ad.nsubdirs) ∧ entries = ad.entries ↔ ad = mkdir(m, md, m0, m1, entries) subst: [ad, m, md, m0, m1, entries] → [dirs[ino0], m, md, m0, m1, entries]

Additional information

Used simplifier rules: ⊦ ( ((m = ad.size ∧ md = ad.meta) ∧ m0 = ad.nlink) ∧ m1 = ad.nsubdirs) ∧ entries = ad.entries ↔ ad = mkdir(m, md, m0, m1, entries); (elim) Used terms: dirs[ino0], m, md, m0, m1, entries