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Proof step 105 from proof validref-refs-last-valid-subset (previous step)

st0[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r1), st[r0 -- _type] = typeval(mkclasstype(class0)), st0[r0 -- _type] = typeval(mkclasstype(class0)), st[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r1), r0 ∈ st0, r0 -- _type ∈ st0, class+∃(str, class0), validref(str, r0, mkclasstype(class0), st), st ⊆ st0, is_reftype(ty0), validref(str, r1, ty0, st), r0 -- mkfs(class, ty0, fieldvar) ' ∈ st0, class0 ≤ class1, mkfs(class, ty0, fieldvar) ' ∈ instfields(class0), validrefs(str, r1 ', ty0, st0), ∀ sk. sk ∈ instfields(class0) → goodfieldandtype(r0, sk, st0) ⊦ r0 = jvmref, is_abstract(class0), validref(str, r1, st[r1 -- _type] .type, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , validref(str, r, ty, st) ∧ st[r -- _type] .type = ty0 → validref(str, r, ty0, st) ,[str, r, ty, st, ty0] → [str, r1, ty0, st, st[r1 -- _type] .type] ,F ,junkrefs , ,validref-type-forward ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str, r1, ty0, st, st[r1 -- _type] .type)]]