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Proof step 128 from proof validref-refs-last-valid-subset (previous step)

st0[r0 -- _type] .type = mkclasstype(class0), acc + r1 ' = r2 ' + refs, st0[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r2), st[r0 -- _type] = st0[r0 -- _type], st0[r0 -- _type] = typeval(mkclasstype(class0)), r0 -- _type ∈ st0, is_typevalue(st0[r0 -- _type]), is_classtype(st0[r0 -- _type] .type), is_obj(r0, class0, st0), class+∃(str, class0), validref(str, r0, st0[r0 -- _type] .type, st), st ⊆ st0, st0[r0 -- _type] .type ≤ ty, mkfs(class, ty0, fieldvar) ' ∈ instfields(class0), validrefs(str, r2 ' + refs, ty0, st0), r0 ∈ st0, ∀ str, r, st, st0, r1, ty. validref(str, r, st[r -- _type] .type, st) ∧ st ⊆ st0 ∧ r ∈ acc ∧ validrefs(str, acc + r1 ', ty, st0) → validref(str, r1, st[r1 -- _type] .type, st) ⊦ r0 = jvmref, is_abstract(class0), validref(str, r1, st[r1 -- _type] .type, st), r1 ≠ r2 ∧ ¬ r1 ∈ refs, ¬ r2 ∈ acc ∧ r2 ≠ r1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 127:
st0[r0 -- _type] = typeval(mkclasstype(class0)), st[r0 -- _type] = typeval(mkclasstype(class0)), st0[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r2), acc + r1 ' = r2 ' + refs, st ⊆ st0, validref(str, r0, mkclasstype(class0), st), class+∃(str, class0), is_obj(r0, class0, st0), r0 -- _type ∈ st0, r0 ∈ st0, validrefs(str, r2 ' + refs, ty0, st0), mkfs(class, ty0, fieldvar) ' ∈ instfields(class0), is_classtype(ty), class0 ≤ ty .class, ∀ str, r, st, st0, r1, ty. validref(str, r, st[r -- _type] .type, st) ∧ st ⊆ st0 ∧ r ∈ acc ∧ validrefs(str, acc + r1 ', ty, st0) → validref(str, r1, st[r1 -- _type] .type, st) ⊦ r0 = jvmref, validref(str, r1, st[r1 -- _type] .type, st), is_abstract(class0), ¬ r2 ∈ acc ∧ r2 ≠ r1, r1 ≠ r2 ∧ ¬ r1 ∈ refs

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_typevalue(typeval(ty))], [CSIMPSEQ : ⊦ is_classtype(mkclasstype(class))], [CSIMPSEQ : ⊦ mkclasstype(class) ≤ ty ↔ is_classtype(ty) ∧ class ≤ ty .class], [CSIMPSEQ : ⊦ mkclasstype(class) = mkclasstype(class0) ↔ class = class0], [CSIMPSEQ : ⊦ typeval(ty) .type = ty])]]