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Proof step 6 from proof junkref-class-02 (previous step)

st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), st[r -- _type] = typeval(mkclasstype(class0)), class+∃(str, class0), r -- _type ∈ st, goodfieldsandtypes(r, instfields(class0), st), mkfs(class, ty, fieldvar) ' ∈ instfields(class0), r ∈ st ⊦ r0 = jvmref, r = jvmref, is_reftype(ty), is_abstract(class0)

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 5:
st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), st[r -- _type] = typeval(mkclasstype(class0)), class+∃(str, class0), r -- _type ∈ st, ∀ sk. sk ∈ instfields(class0) → goodfieldandtype(r, sk, st), mkfs(class, ty, fieldvar) ' ∈ instfields(class0), r ∈ st ⊦ r0 = jvmref, r = jvmref, is_reftype(ty), is_abstract(class0)

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)]]