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Proof step 29 from proof refine-iget (previous step)

fs[ri[inodekey(ino)]].inode?, orphans(fs, ri).inodes?, fo.inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), ri[inodekey(ino)] ∈ fs, inodekey(ino) ∈ ri, asynced → boolvar1 ⊦ ⟨afs_iget#(ino, abs-dirs(fs, ri), abs-files(fs, ri), asynced; p_inode, err1)⟩ ( (asynced → boolvar1) ∧ mkinode (ino, fs[ri[inodekey(ino)]].meta, fs[ri[inodekey(ino)]].directory, fs[ri[inodekey(ino)]].nlink, (fs[ri[inodekey(ino)]].directory ⊃ fs[ri[inodekey(ino)]].nsubdirs;0), fs[ri[inodekey(ino)]].size) = p_inode ∧ ESUCCESS = err1)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 30:
fs[ri[inodekey(ino)]] = inodenode(key, md, boolvar, m, m0, m1), fs[ri[inodekey(ino)]].inode?, fo.inodes?, orphans(fs, ri).inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), inodekey(ino) ∈ ri, ri[inodekey(ino)] ∈ fs, asynced → boolvar1 ⊦ ⟨afs_iget#(ino, abs-dirs(fs, ri), abs-files(fs, ri), asynced; p_inode, err1)⟩ ((asynced → boolvar1) ∧ mkinode(ino, md, boolvar, m, (boolvar ⊃ m0;0), m1) = p_inode ∧ ESUCCESS = err1)

Rule argument

spec: node name: elim-03 seq: ⊦ nd.inode? → ( ( ( ( (key = nd.key ∧ md = nd.meta) ∧ (boolvar ↔ nd.directory)) ∧ m = nd.nlink) ∧ m0 = nd.nsubdirs) ∧ m1 = nd.size ↔ nd = inodenode(key, md, boolvar, m, m0, m1)) subst: [nd, key, md, boolvar, m, m0, m1] → [fs[ri[inodekey(ino)]], key, md, boolvar, m, m0, m1]

Additional information

Used simplifier rules: ⊦ nd.inode? → ( ( ( ( (key = nd.key ∧ md = nd.meta) ∧ (boolvar ↔ nd.directory)) ∧ m = nd.nlink) ∧ m0 = nd.nsubdirs) ∧ m1 = nd.size ↔ nd = inodenode(key, md, boolvar, m, m0, m1)); (elim) Used terms: fs[ri[inodekey(ino)]], key, md, boolvar, m, m0, m1