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Proof step 3 from proof ubifs-adr-in-ri (previous step)

ubifs-cons(fs, ri, ro, fi, fo, log), adr ∈ ri ⊦ adr ∈ fs

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: store+set, inst: node-index name: Data-in seq: ⊦ adr ∈ ri ↔ (∃ key. key ∈ ri ∧ ri[key] = adr) subst: [ri, adr] → [ri, adr] flags: <all paths>

Additional information

Used simplifier rules: ubifs-in-fs: ⊦ key ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → ri[key] ∈ fs; Used terms: ri, adr