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Proof step 5 from proof initsubset-validstatfields-forward (previous step)

init⊆(str, st, st0), validstatfields(str, sks, st), sk ∈ sks ⊦ validstatfield(str, sk, st0), validstatfield(str, sk, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ validstatfields(str, sks, st) ↔ (∀ sk. sk ∈ sks → validstatfield(str, sk, st))
Proof step 4:
init⊆(str, st, st0), ∀ sk. sk ∈ sks → validstatfield(str, sk, st), sk ∈ sks ⊦ validstatfield(str, sk, st0), validstatfield(str, sk, st)

Rule argument

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

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, sks, str)]]