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Proof step 70 from proof validrefs-addobj-01 (previous step)

fis .keys = instfields(class), unique_al(fis), validrefs(str, r0 ' + refs0, ty, st), mkfs(class0, ty0, fieldvar) ' ∈ instfields(class), mkfs(class0, ty0, fieldvar) ' × refval(r0) ∈ fis, validref(str, r, mkclasstype(class), addobj(r, class, fis, st)), newref(r, st), validFields(r, fis, addobj(r, class, fis, st)), class+∃(str, class), goodfieldsandtypes(r, instfields(class), addobj(r, class, fis, st)) ⊦ r0 ' + refs0 = jvmref ', r = jvmref, is_reftype(ty0), is_abstract(class)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 59:
⊦ goodfieldsandtypes(r, sks, st) ↔ (∀ sk. sk ∈ sks → goodfieldandtype(r, sk, st))
Proof step 69:
fis .keys = instfields(class), unique_al(fis), validrefs(str, r0 ' + refs0, ty, st), mkfs(class0, ty0, fieldvar) ' ∈ instfields(class), mkfs(class0, ty0, fieldvar) ' × refval(r0) ∈ fis, validref(str, r, mkclasstype(class), addobj(r, class, fis, st)), newref(r, st), validFields(r, fis, addobj(r, class, fis, st)), class+∃(str, class), ∀ sk. sk ∈ instfields(class) → goodfieldandtype(r, sk, addobj(r, class, fis, st)) ⊦ r0 ' + refs0 = jvmref ', r = jvmref, is_reftype(ty0), is_abstract(class)

Rule argument

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

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addobj(r, class, fis, st), instfields(class), r)]]