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Proof step 10 from proof del-put-again (previous step)

key ∈ ri, key ∈ ri[inodekey(m), adr], inodekey(m) ∈ ks, key.data? → ¬ inodekey(key.ino) ∈ ks ⊦ # ks = 0, (ri[inodekey(m), adr] ⊖ ks)[key] = (ri ⊖ ks)[key], ks = ∅, key ∈ ks, key ∈ ri[inodekey(m), adr] ∧ ¬ key ∈ ks ∧ ¬ key.data?

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
key.data?, inodekey(m) ∈ ks, key ∈ ri[inodekey(m), adr], key ∈ ri ⊦ # ks = 0, (ri[inodekey(m), adr] ⊖ ks)[key] = (ri ⊖ ks)[key], ks = ∅, key ∈ ks, inodekey(key.ino) ∈ ks

Proof step 10 from proof del-put-again (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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