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Proof step 6 from proof validstatfields-union (previous step)

∀ class, sk. tdname∃(str, class) ∧ initdone(class, st0) ∧ sk ∈ statfields(class) → validstatfield(str, sk, st0) ⊦ jvmref ∈ st, validstatfields(str, st ∪ st0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ validstatfields(str, st) ↔ (∀ class, sk. tdname∃(str, class) ∧ initdone(class, st) ∧ sk ∈ statfields(class) → validstatfield(str, sk, st))
Proof step 5:
∀ class, sk. tdname∃(str, class) ∧ initdone(class, st0) ∧ sk ∈ statfields(class) → validstatfield(str, sk, st0) ⊦ jvmref ∈ st, ∀ class, sk. tdname∃(str, class) ∧ initdone(class, st ∪ st0) ∧ sk ∈ statfields(class) → validstatfield(str, sk, st ∪ st0)

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: validstatfield-level-expand antecedent: succedent: validstatfields(str, st) ↔ (∀ class, sk. tdname∃(str, class) ∧ initdone(class, st) ∧ sk ∈ statfields(class) → validstatfield(str, sk, st)) substlist: [st, str] → [st ∪ st0, str] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((1, 0, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st ∪ st0, str)]]