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Proof step 1 from proof in-del-ro (conclusion)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ ri ⊖ key = (ri -- key) \ datakeys(key, ri)
Proof step 3:
⊦ key ∈ (ri -- key0) \ datakeys(key0, ri) ↔ key ∈ ri ∧ key ≠ key0 ∧ (key.data? → inodekey(key.ino) ≠ key0)

Rule argument

spec: <toplevel> name: del-with-data seq: ⊦ ri ⊖ key = (ri -- key) \ datakeys(key, ri) subst: [key, ri] → [key0, ri] flags: <all paths>

Additional information

Used terms: key0, ri