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Proof step 2 from proof validstatfields-put-other-statfield (previous step)

⊦ validstatfields(str, st) ↔ (∀ class, sk. tdname∃(str, class) ∧ initdone(class, st) ∧ sk ∈ statfields(class) → validstatfield(str, sk, st))

Lemma validstatfield-level-expand