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Proof step 44 from proof inv-truncate (previous step)

err = ESUCCESS, afs-cons(dirs, files), ispath(p, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pw(user, files[ino0].meta), px-parent(user, p, ROOT_INO, dirs, files), ino0 ∈ files, ¬ ino0 ∈ dirs ⊦ ⟪afs_check_commit#(dirs, files; err; asynced); pageno := 0; inode := (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) ); if err = ESUCCESS then pageno := inode.size / VFS_PAGE_SIZE; if err = ESUCCESS then {buf-opt := none; afs_truncate#(n, pageno; buf-opt, inode, isdir0, err, dirs, files, asynced)}⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 45:
files[ino0] = mkfile(m, md, m0, content), err = ESUCCESS, 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_check_commit#(dirs, files; err; asynced); pageno := 0; inode := (ino0 ∈ dirs ⊃ mkinode(ino0, dirs[ino0].meta, true, dirs[ino0].nlink, dirs[ino0].nsubdirs, dirs[ino0].size);mkinode(ino0, md, false, m0, 0, m)); if err = ESUCCESS then pageno := inode.size / VFS_PAGE_SIZE; if err = ESUCCESS then {buf-opt := none; afs_truncate#(n, pageno; buf-opt, inode, isdir0, err, dirs, files, asynced)}⟫ (of-cons(of, dirs, files) ∧ afs-cons(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], 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[ino0], m, md, m0, content