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Proof step 11 from proof validstatfields-put-norefval-field (previous step)

validstatfields(str, st), okval(val, ty) ⊦ mkfs(class, ty, fieldvar) ' = _type, mkfs(class, ty, fieldvar) ' = _length, r = jvmref, is_referencevalue(val), validstatfields(str, st[r -- mkfs(class, ty, fieldvar) ', val])

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 10:
validstatfields(str, st), okval(val, ty) ⊦ mkfs(class, ty, fieldvar) ' = _type, mkfs(class, ty, fieldvar) ' = _length, r = jvmref, is_referencevalue(val), ∀ class0, sk. tdname∃(str, class0) ∧ initdone(class0, st[r -- mkfs(class, ty, fieldvar) ', val]) ∧ sk ∈ statfields(class0) → validstatfield(str, sk, st[r -- mkfs(class, ty, fieldvar) ', val])

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[r -- 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, 4)) dummy: () ]

Additional information

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