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Proof step 5 from proof validstatfields-put-norefval-field (previous step)

sk ∈ statfields(class0), validstatfields(str, st), okval(val, ty), tdname∃(str, class0), initdone(class0, st) ⊦ mkfs(class, ty, fieldvar) ' = _length, r = jvmref, ty = void_type, is_referencevalue(val), validstatfield(str, sk, st[r -- mkfs(class, ty, fieldvar) ', val]), validstatfield(str, sk, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ validstatfields(str, st) ↔ (∀ class, sk. tdname∃(str, class) ∧ initdone(class, st) ∧ sk ∈ statfields(class) → validstatfield(str, sk, st))
Proof step 4:
sk ∈ statfields(class0), ∀ class, sk. tdname∃(str, class) ∧ initdone(class, st) ∧ sk ∈ statfields(class) → validstatfield(str, sk, st), okval(val, ty), tdname∃(str, class0), initdone(class0, st) ⊦ mkfs(class, ty, fieldvar) ' = _length, r = jvmref, ty = void_type, is_referencevalue(val), validstatfield(str, sk, st[r -- mkfs(class, ty, fieldvar) ', val]), validstatfield(str, sk, 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] → [st, str] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((0, 0, 1)) dummy: () ]

Additional information

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