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Proof step 8 from proof replay-orphans-dentry (previous step)

⊦ dentrykey(ino, str) ∈ ro, dentrykey(ino, str) ∈ ri[dentrykey(ino, str), adr] ⊖ ro ∧ adr = (ri[dentrykey(ino, str), adr] ⊖ ro)[dentrykey(ino, str)]

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: aubifs-base name: at-dels-ro-nodata seq: ⊦ key ∈ ri ∧ ¬ key ∈ ks ∧ ¬ key.data? → (ri ⊖ ks)[key] = ri[key] subst: [key, ks, ri] → [dentrykey(ino, str), ro, ri[dentrykey(ino, str), adr]] flags: <all paths>

Additional information

Used simplifier rules: ⊦ key ∈ ri[key, adr]; (s)% ⊦ ¬ dentrykey(m, str).data?; (s) Used terms: dentrykey(ino, str), ro, ri[dentrykey(ino, str), adr]