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Proof step 19 from proof validstatfield-put-array-norefval (previous step)

okval(val, st[r1 -- _type] .type .type), validstatfield(str, mkfs(class, ty, fieldvar) ', st) ⊦ is_referencevalue(val), (initdone(class, st) → validfield(str, jvmref, mkfs(class, ty, fieldvar) ', st[r1 -- i ', val])) ∧ tdname∃(str, class) ∧ mkfs(class, ty, fieldvar) ' ∈ 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 18:
okval(val, st[r1 -- _type] .type .type), is_fskey(mkfs(class, ty, fieldvar) ') ∧ mkfs(class, ty, fieldvar) ' ∈ statfields(mkfs(class, ty, fieldvar) ' .fs .class) ∧ tdname∃(str, mkfs(class, ty, fieldvar) ' .fs .class) ∧ (initdone(mkfs(class, ty, fieldvar) ' .fs .class, st) → validfield(str, jvmref, mkfs(class, ty, fieldvar) ', st)) ⊦ is_referencevalue(val), (initdone(class, st) → validfield(str, jvmref, mkfs(class, ty, fieldvar) ', st[r1 -- i ', val])) ∧ tdname∃(str, class) ∧ mkfs(class, ty, fieldvar) ' ∈ statfields(class)

Rule argument

[crewrite-arg: validstatfield-storekey-def , F , [st, sk, str] → [st, mkfs(class, ty, fieldvar) ', str] ]

Additional information

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