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Proof step 26 from proof del-commute-dels (previous step)

⊦ key0 ∈ (ri ⊖ key) ⊖ ks ↔ (key0 ∈ ri ∧ ¬ key0 ∈ ks ∧ (key0.data? → ¬ inodekey(key0.ino) ∈ ks)) ∧ key0 ≠ key ∧ (key0.data? → inodekey(key0.ino) ≠ key), key ∈ ks

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 27:
⊦ key0 ∈ (ri ⊖ key) ⊖ ks ↔ key0 ∈ ri ∧ ¬ key0 ∈ ks ∧ (key0.data? → ¬ inodekey(key0.ino) ∈ ks) ∧ key0 ≠ key ∧ (key0.data? → inodekey(key0.ino) ≠ key), key ∈ ks

Proof step 26 from proof del-commute-dels (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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