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Proof step 13 from proof validrefs-lastelem (previous step)

st[r0 -- _type] = typeval(mkclasstype(class0)), st[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r1), mkfs(class, ty0, fieldvar) ' ∈ instfields(class0), r0 ≠ jvmref ∧ (r0 -- _type) × typeval(mkclasstype(class0)) ∈ st ∧ goodfieldsandtypes(r0, instfields(class0), st), r0 -- _type ∈ st, r0 ∈ st, validrefs(str, r1 ', ty0, st), is_obj(str, r0, st), class0 ≤ class1 ⊦ r0 = jvmref, is_reftype(ty0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
st[r0 -- _type] = typeval(mkclasstype(class0)), st[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r1), mkfs(class, ty0, fieldvar) ' ∈ instfields(class0), goodfieldsandtypes(r0, instfields(class0), st), r0 -- _type ∈ st, r0 ∈ st, validrefs(str, r1 ', ty0, st), is_obj(str, r0, st), class0 ≤ class1 ⊦ r0 = jvmref, is_reftype(ty0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ rk × val ∈ st ↔ rk ∈ st ∧ st[rk] = val])]]