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Proof step 13 from proof validstatfield-level-expand (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
⊦ initdone(class, st) ∧ tdname∃(str, class) → (validstatfields(str, class, st) ↔ (∀ sk. sk ∈ statfields(class) → validstatfield(str, sk, st)))
Proof step 12:
initdone(class, st) ∧ tdname∃(str, class), initdone(class, st), tdname∃(str, class), ∀ class, sk. tdname∃(str, class) ∧ initdone(class, st) ∧ sk ∈ statfields(class) → validstatfield(str, sk, st) ⊦ ∀ sk. sk ∈ statfields(class) → validstatfield(str, sk, st)

Rule argument

[crewrite-arg: validstatfields-class-01 , F , [st, class, str] → [st, class, str] ]

Additional information

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