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Proof step 9 from proof initsubset-validstatfields-forward (previous step)

validstatfields(str, sks, st), init⊆(str, st, st0) ⊦ validstatfields(str, sks, st0)

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 8:
validstatfields(str, sks, st), init⊆(str, st, st0) ⊦ ∀ sk. sk ∈ sks → validstatfield(str, sk, st0)

Rule argument

[crewrite-arg: validstatfields-storekeys-def , F , [st, sks, str] → [st0, sks, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st0, sks, str)]]