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Proof step 5 from proof key-cons-one (previous step)

⊦ key-cons(nd ' + []) ↔ key-cons(nd.key, nd)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ key-cons(nd ' + ndx) ↔ ¬ ¬(key-cons(nd.key, nd) ∧ key-cons(ndx))

Rule argument

spec: <toplevel> name: key-cons-rec seq: ⊦ key-cons(nd ' + ndx) ↔ ¬ ¬(key-cons(nd.key, nd) ∧ key-cons(ndx)) subst: [ndx, nd] → [[], nd] flags: <all paths>

Additional information

Used simplifier rules: key-cons-base: ⊦ key-cons([]); Used terms: [], nd