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Proof step 16 from proof del-merge-dels (previous step)

key ∈ ks, datakey(m, m0) ∈ ri ⊦ # ks = 0, ((ri ⊖ key) ⊖ ks)[datakey(m, m0)] = ri[datakey(m, m0)], ks = ∅, datakey(m, m0) ∈ ks, inodekey(m) ∈ ks

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: at-dels-ro-data seq: ⊦ datakey(ino, n) ∈ ri ∧ ¬ datakey(ino, n) ∈ ks ∧ ¬ inodekey(ino) ∈ ks → (ri ⊖ ks)[datakey(ino, n)] = ri[datakey(ino, n)] subst: [n, ino, ks, ri] → [m0, m, ks, ri ⊖ key] flags: <all paths>

Additional information

Used terms: m0, m, ks, ri ⊖ key