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Proof step 20 from proof validstatfield-union (previous step)

sk .fs = mkfs(class, ty, fieldvar), validstatfield(str, sk, st0), is_fskey(sk) ⊦ jvmref ∈ st, (initdone(class, st0) → validfield(str, jvmref, sk, st ∪ st0)) ∧ tdname∃(str, class) ∧ sk ∈ statfields(class)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ 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 19:
sk .fs = mkfs(class, ty, fieldvar), is_fskey(sk) ∧ sk ∈ statfields(sk .fs .class) ∧ tdname∃(str, sk .fs .class) ∧ (initdone(sk .fs .class, st0) → validfield(str, jvmref, sk, st0)), is_fskey(sk) ⊦ jvmref ∈ st, (initdone(class, st0) → validfield(str, jvmref, sk, st ∪ st0)) ∧ tdname∃(str, class) ∧ sk ∈ statfields(class)

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] → [st0, sk, 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 : (st0, sk, str)]]