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Proof step 23 from proof replay-orphans-dentry (previous step)

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

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 24:
datakey(m, m0) ∈ ri[dentrykey(ino, str), adr], datakey(m, m0) ∈ ri ⊦ ri[datakey(m, m0)] = ri[dentrykey(ino, str), adr][datakey(m, m0)], datakey(m, m0) = dentrykey(ino, str), datakey(m, m0) ∈ ro, inodekey(m) ∈ ro, dentrykey(ino, str) ∈ ro

Rule argument

fma: datakey(m, m0) = dentrykey(ino, str)

Additional information

Used simplifier rules: ⊦ datakey(m, m0) ≠ dentrykey(m1, str); (s) Used formulas: datakey(m, m0) = dentrykey(ino, str)