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Proof step 16 from proof del-del-again (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: in-del-ro seq: ⊦ key ∈ ri ⊖ key0 ↔ key ∈ ri ∧ key ≠ key0 ∧ (key.data? → inodekey(key.ino) ≠ key0) subst: [key0, ri, key] → [inodekey(m), ri ⊖ ks, key] flags: <all paths>

Additional information

Used simplifier rules: in-dels-ro: ⊦ key ∈ ri ⊖ ks ↔ key ∈ ri ∧ ¬ key ∈ ks ∧ (key.data? → ¬ inodekey(key.ino) ∈ ks);% ⊦ inodekey(m) = inodekey(m0) ↔ m = m0; (s) Used terms: inodekey(m), ri ⊖ ks, key