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Proof step 12 from proof validstatfields-rec (conclusion)

⊦ validstatfields(str, sk ' + sks, st) ↔ validstatfield(str, sk, st) ∧ validstatfields(str, sks, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ validstatfields(str, sks, st) ↔ (∀ sk. sk ∈ sks → validstatfield(str, sk, st))
Proof step 11:
⊦ (∀ sk0. sk0 ∈ sk ' + sks → validstatfield(str, sk0, st)) ↔ validstatfield(str, sk, st) ∧ validstatfields(str, sks, st)

Rule argument

[crewrite-arg: validstatfields-storekeys-def , F , [st, sks, str] → [st, sk ' + sks, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, sk ' + sks, str)]]