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Proof step 68 from proof inv-write-inode (previous step)

fs0[ri[inodekey(m)]].nlink = 0, fs0[ri[inodekey(m)]].directory, fs0[ri[inodekey(m)]].inode?, ro.inodes?, fo.inodes?, file-node-cons(fs0, ri), log-cons(log0, fs0), orphans-cons(fs0, ri, ro), replay-cons-strong(fs0, ri, ro, fi, fo, log0), ri-cons(ri, fs0), ri-inj(ri), ri-inj(fi), ubifs-cons(fs0, ri, ro, fi, fo, log0), inodekey(m) ∈ ri, ri[inodekey(m)] ∈ fs0, inodekey(m) ∈ ro ⊦ # ro = 0, (ri ⊖ ro) -- inodekey(m) = ri ⊖ ro, m = ROOT_INO, m = 0, ro = ∅, adr1 ∈ fs0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: store, inst: node-index name: notin-del-notin seq: ⊦ ¬ key ∈ ri → ri -- key = ri subst: [key, ri] → [inodekey(m), ri ⊖ ro] flags: <all paths>

Additional information

Used simplifier rules: ⊦ inodekey(ino) ∈ ri → (inodekey(ino) ∈ ri ⊖ ro ↔ ¬ inodekey(ino) ∈ ro); (s) Used terms: inodekey(m), ri ⊖ ro