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Proof step 50 from proof inv-writepage (previous step)

# buf = VFS_PAGE_SIZE, 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 ⊖ ro)[datakey(m, pageno), adr1] = ri[datakey(m, pageno), adr1] ⊖ ro, fs0[ri[inodekey(m)]].directory, inodekey(m) ∈ ro, adr1 ∈ fs0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: aubifs-replay name: replay-orphans-data seq: ⊦ ¬ datakey(ino, n) ∈ ro ∧ ¬ inodekey(ino) ∈ ro → (ri ⊖ ro)[datakey(ino, n), adr] = ri[datakey(ino, n), adr] ⊖ ro subst: [adr, n, ino, ro, ri] → [adr1, pageno, m, ro, ri] flags: <all paths>

Additional information

Used simplifier rules: ⊦ ks.inodes? → ¬ datakey(ino, n) ∈ ks; (s) Used terms: adr1, pageno, m, ro, ri