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Proof step 3 from proof inv-mkdir (previous step)

p_inode.nlink = fs[ri[inodekey(p_inode.ino)]].nlink, p_inode.nsubdirs = fs[ri[inodekey(p_inode.ino)]].nsubdirs, p_inode.size = fs[ri[inodekey(p_inode.ino)]].size, fs[ri[inodekey(p_inode.ino)]].directory, p_inode.directory, ro.inodes?, fo.inodes?, dent.negdentry?, file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, ro), replay-cons-strong(fs, ri, ro, fi, fo, log), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, ro, fi, fo, log), inodekey(p_inode.ino) ∈ ri, ¬ dentrykey(p_inode.ino, dent.name) ∈ ri, ¬ inodekey(p_inode.ino) ∈ ro, p_inode.nlink ≠ 0 ∨ p_inode.ino = ROOT_INO ⊦ ⟪aubifs_mkdir#(md, fi, ro, fo; p_inode, c_inode, dent, err, ri, fs, log, boolvar)⟫ (ubifs-cons(fs, ri, ro, fi, fo, log) ∧ replay-cons-strong(fs, ri, ro, fi, fo, log) ∧ file-node-cons(fs, ri) ∧ orphans-cons(fs, ri, ro))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

spec: dentry name: elim-02 seq: ⊦ dent.negdentry? → (str = dent.name ↔ dent = negdentry(str)) subst: [dent, str] → [dent, str]

Additional information

Used simplifier rules: ⊦ dent.negdentry? → (str = dent.name ↔ dent = negdentry(str)); (elim) Used terms: dent, str