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Proof step 15 from proof isobj-put-03 (previous step)

st[r -- _type] = typeval(mkclasstype(class0)), goodfieldsandtypes(r, instfields(class0), st), okval(val, ty), r -- _type ∈ st, r ∈ st ⊦ ty = void_type, r = jvmref, goodfieldsandtypes(r, instfields(class0), st[r1 -- mkfs(class, ty, fieldvar) ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ goodfieldsandtypes(r, sks, st) ↔ (∀ sk. sk ∈ sks → goodfieldandtype(r, sk, st))
Proof step 14:
st[r -- _type] = typeval(mkclasstype(class0)), ∀ sk. sk ∈ instfields(class0) → goodfieldandtype(r, sk, st), okval(val, ty), r -- _type ∈ st, r ∈ st ⊦ ty = void_type, r = jvmref, goodfieldsandtypes(r, instfields(class0), st[r1 -- mkfs(class, ty, fieldvar) ', val])

Rule argument

[speclemmaarg: , goodfieldsandtypes(r, sks, st) ↔ (∀ sk. sk ∈ sks → goodfieldandtype(r, sk, st)) ,[st, sks, r] → [st, instfields(class0), r] ,F ,okfuns , ,gfts-all ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, instfields(class0), r)]]