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Proof step 12 from proof isobj-union-01 (previous step)

st[r -- _type] = typeval(mkclasstype(class)), r -- _type ∈ st, ∀ sk. sk ∈ instfields(class) → goodfieldandtype(r, sk, st), r ∈ st ⊦ r = jvmref, goodfieldsandtypes(r, instfields(class), st0 ∪ st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ goodfieldsandtypes(r, sks, st) ↔ (∀ sk. sk ∈ sks → goodfieldandtype(r, sk, st))
Proof step 11:
st[r -- _type] = typeval(mkclasstype(class)), r -- _type ∈ st, ∀ sk. sk ∈ instfields(class) → goodfieldandtype(r, sk, st), r ∈ st ⊦ r = jvmref, ∀ sk. sk ∈ instfields(class) → goodfieldandtype(r, sk, st0 ∪ st)

Rule argument

[speclemmaarg: , goodfieldsandtypes(r, sks, st) ↔ (∀ sk. sk ∈ sks → goodfieldandtype(r, sk, st)) ,[st, sks, r] → [st0 ∪ st, instfields(class), r] ,F ,okfuns , ,gfts-all ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st0 ∪ st, instfields(class), r)]]