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Proof step 19 from proof del-put-again (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: in-dels-ro seq: ⊦ key ∈ ri ⊖ ks ↔ key ∈ ri ∧ ¬ key ∈ ks ∧ (key.data? → ¬ inodekey(key.ino) ∈ ks) subst: [ks, ri, key] → [ks, ri[inodekey(m), adr], key] flags: <all paths>

Additional information

Used terms: ks, ri[inodekey(m), adr], key