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Proof step 21 from proof del-merge-dels (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
key ∈ ks, datakey(m, m0) ∈ ri ⊦ # ks = 0, (ri ⊖ key)[datakey(m, m0)] = ri[datakey(m, m0)], ks = ∅, datakey(m, m0) ∈ ks, inodekey(m) ∈ ks

Rule argument

Additional information

Used simplifier rules: in-del-ro: ⊦ key ∈ ri ⊖ key0 ↔ key ∈ ri ∧ key ≠ key0 ∧ (key.data? → inodekey(key.ino) ≠ key0);% ⊦ datakey(m, m0).ino = m; (s)% ⊦ datakey(m, m0).data?; (s)