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Proof step 62 from proof inv-truncate (previous step)

# links(ino0, dirs) = files[ino0].nlink, files[ino0] = mkfile(m, md, files[ino0].nlink, content), buf-opt = none, err = ESUCCESS, inode = mkinode(ino0, md, false, files[ino0].nlink, 0, m), afs-cons(dirs, files), ispath(p, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pw(user, md), px-parent(user, p, ROOT_INO, dirs, files), ino0 ∈ files, ¬ ino0 ∈ dirs ⊦ [afs_truncate#(n, m / VFS_PAGE_SIZE; buf-opt, inode, isdir0, err, dirs, files, bv)] (afs-cons(dirs, files) → of-cons(of, dirs, files))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 63:
# links(ino0, dirs) = m1, files[ino0] = mkfile(m, md, m1, content), files[ino0] = mkfile(m0, md0, m1, content0), buf-opt = none, err = ESUCCESS, inode = mkinode(ino0, md, false, m1, 0, m), afs-cons(dirs, files), ispath(p, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pw(user, md), px-parent(user, p, ROOT_INO, dirs, files), ino0 ∈ files ⊦ [afs_truncate#(n, m / VFS_PAGE_SIZE; buf-opt, inode, isdir0, err, dirs, files, bv)] (afs-cons(dirs, files) → of-cons(of, dirs, files)), ino0 ∈ 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[ino0], m0, md0, m1, content0]

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[ino0], m0, md0, m1, content0