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Proof step 60 from proof validrefs-not-contains (previous step)

st[r -- mkfs(class, ty1, fieldvar) '] = refval(r1), st[r -- _type] .type = mkclasstype(class0), is_obj(str, r, st), type∃(str, st[r1 -- _type] .type), st[r1 -- _type] .type ≤ ty1, is_valid_ref(str, r1, st), tdname+∃(str, class0), validrefs(str, r1 ' + refs0 + r1 ', ty1, st), mkfs(class, ty1, fieldvar) ' ∈ instfields(class0), is_classtype(ty), class0 ≤ ty .class ⊦ r = jvmref, r = r1, r1 = jvmref, ¬ interface∃(str, class0) ∧ (∃ fs. fs ' ∈ instfields(class0) ∧ st[r1 -- _type] .type ≤ fs .type)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 59:
ty = mkclasstype(class1), st[r -- mkfs(class, ty1, fieldvar) '] = refval(r1), st[r -- _type] .type = mkclasstype(class0), is_obj(str, r, st), type∃(str, st[r1 -- _type] .type), st[r1 -- _type] .type ≤ ty1, is_valid_ref(str, r1, st), tdname+∃(str, class0), validrefs(str, r1 ' + refs0 + r1 ', ty1, st), mkfs(class, ty1, fieldvar) ' ∈ instfields(class0), is_classtype(ty), class0 ≤ class1 ⊦ r = jvmref, r = r1, r1 = jvmref, ¬ interface∃(str, class0) ∧ (∃ fs. fs ' ∈ instfields(class0) ∧ st[r1 -- _type] .type ≤ fs .type)

Rule argument

[speclemmaarg: ,is_classtype(ty) → (class = ty .class ↔ ty = mkclasstype(class)) ,[ty, class] → [ty, class1] ,T ,javatype , ,elim-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_classtype(ty) → ( class = ty .class ↔ ty = mkclasstype(class))])], [EXTRATERMS : (ty, class1)]]