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Proof step 23 from proof validstatfield-union (previous step)

validstatfield(str, sk, st0) ⊦ jvmref ∈ st, validstatfield(str, sk, st ∪ st0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ validstatfield(str, sk, st) ↔ is_fskey(sk) ∧ sk ∈ statfields(sk .fs .class) ∧ tdname∃(str, sk .fs .class) ∧ (initdone(sk .fs .class, st) → validfield(str, jvmref, sk, st))
Proof step 22:
validstatfield(str, sk, st0) ⊦ jvmref ∈ st, is_fskey(sk) ∧ sk ∈ statfields(sk .fs .class) ∧ tdname∃(str, sk .fs .class) ∧ (initdone(sk .fs .class, st ∪ st0) → validfield(str, jvmref, sk, st ∪ st0))

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: validstatfield-storekey-def antecedent: succedent: validstatfield(str, sk, st) ↔ is_fskey(sk) ∧ sk ∈ statfields(sk .fs .class) ∧ tdname∃(str, sk .fs .class) ∧ ( initdone(sk .fs .class, st) → validfield(str, jvmref, sk, st)) substlist: [st, sk, str] → [st ∪ st0, sk, 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, sk, str)]]