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Proof step 3 from proof data-notin-other2 (previous step)

ubifs-cons(fs, ri, ro, fi, fo, log), adr0 ∈ ri[key1, adr1][key2, adr2] ⊦ adr0 = adr1, adr0 = adr2, adr0 ∈ fs

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: store+set, inst: node-index name: Data-notin-other-2 seq: ⊦ adr ≠ adr0 ∧ adr ≠ adr1 ∧ ¬ adr ∈ ri → ¬ adr ∈ ri[key, adr0][key0, adr1] subst: [adr1, key0, adr0, key, ri, adr] → [adr2, key2, adr1, key1, ri, adr0] flags: <all paths>

Additional information

Used simplifier rules: ⊦ adr ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → adr ∈ fs; (ss) Used terms: adr2, key2, adr1, key1, ri, adr0