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Proof step 9 from proof validstatfields-addobj-01 (previous step)

validstatfields(str, st), newref(r, st) ⊦ r = jvmref, validstatfields(str, addobj(r, class, fis, st))

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 8:
validstatfields(str, st), newref(r, st) ⊦ r = jvmref, ∀ class0, sk. tdname∃(str, class0) ∧ initdone(class0, addobj(r, class, fis, st)) ∧ sk ∈ statfields(class0) → validstatfield(str, sk, addobj(r, class, fis, st))

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] → [addobj(r, class, fis, st), 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 : (addobj(r, class, fis, st), str)]]