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Proof step 50 from proof validstatfields-put-other-statfield (previous step)

⊦ class = `java.lang.Object' .class, validstatfields(str, st[jvmref -- mkfs(class, ty, fieldvar) ', val]) ↔ validstatfields(str, st), tdname∃(str, class)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ validstatfields(str, st) ↔ (∀ class, sk. tdname∃(str, class) ∧ initdone(class, st) ∧ sk ∈ statfields(class) → validstatfield(str, sk, st))
Proof step 49:
⊦ class = `java.lang.Object' .class, (∀ class0, sk. tdname∃(str, class0) ∧ initdone(class0, st[jvmref -- mkfs(class, ty, fieldvar) ', val]) ∧ sk ∈ statfields(class0) → validstatfield(str, sk, st[jvmref -- mkfs(class, ty, fieldvar) ', val])) ↔ validstatfields(str, st), tdname∃(str, class)

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[jvmref -- mkfs(class, ty, fieldvar) ', val], str] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((1, 0, 1, 1, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[jvmref -- mkfs(class, ty, fieldvar) ', val], str)]]