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Proof step 29 from proof replay-orphans-inode (previous step)

datakey(m, m0) ∈ ri, datakey(m, m0) ∈ ri[inodekey(ino), adr] ⊦ ri[datakey(m, m0)] = ri[inodekey(ino), adr][datakey(m, m0)], inodekey(ino) ∈ ro, inodekey(m) ∈ ro, datakey(m, m0) ∈ ro

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: store, inst: node-index name: At-other seq: ⊦ key ≠ key0 → ri[key0, adr][key] = ri[key] subst: [key, adr, key0, ri] → [datakey(m, m0), adr, inodekey(ino), ri] flags: <all paths>

Additional information

Used simplifier rules: ⊦ inodekey(m) ≠ datakey(m0, m1); (s) Used terms: datakey(m, m0), adr, inodekey(ino), ri