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Proof step 14 from proof isobj-put-index-01 (previous step)

st[r0 -- _type] = typeval(mkclasstype(class)), r0 -- _type ∈ st, r0 ∈ st ⊦ r0 = jvmref, goodfieldsandtypes(r0, instfields(class), st[r0 -- i ', val]) ↔ goodfieldsandtypes(r0, instfields(class), st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ goodfieldsandtypes(r, sks, st) ↔ (∀ sk. sk ∈ sks → goodfieldandtype(r, sk, st))
Proof step 13:
st[r0 -- _type] = typeval(mkclasstype(class)), r0 -- _type ∈ st, r0 ∈ st ⊦ r0 = jvmref, (∀ sk. sk ∈ instfields(class) → goodfieldandtype(r0, sk, st[r0 -- i ', val])) ↔ goodfieldsandtypes(r0, instfields(class), st)

Rule argument

[speclemmaarg: , goodfieldsandtypes(r, sks, st) ↔ (∀ sk. sk ∈ sks → goodfieldandtype(r, sk, st)) ,[st, sks, r] → [st[r0 -- i ', val], instfields(class), r0] ,F ,okfuns , ,gfts-all ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r0 -- i ', val], instfields(class), r0)]]