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Proof step 33 from proof validrefs-lastelem (previous step)

st[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r1), st[r0 -- mkfs(class0, ty1, fieldvar0) '] = refval(r1), is_obj(str, r1, st), is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), validrefs(str, r1 ' + (st[r1 -- mkfs(class1, ty2, fieldvar1) '] .refval ' + refs) + r ', ty0, st), mkfs(class0, ty1, fieldvar0) ' ∈ instfields(st[r0 -- _type] .type .class), st[r1 -- _type] .type ≤ ty0, st[r1 -- _type] .type ≤ ty1, mkfs(class1, ty2, fieldvar1) ' ∈ instfields(st[r1 -- _type] .type .class), is_referencevalue(st[r1 -- mkfs(class1, ty2, fieldvar1) ']), validrefs(str, st[r1 -- mkfs(class1, ty2, fieldvar1) '] .refval ' + refs, ty2, st) ⊦ r0 = jvmref, r1 = jvmref, has_reffield((st[r1 -- mkfs(class1, ty2, fieldvar1) '] .refval ' + refs) .last, st), ∃ fs. fs ' ∈ instfields(st[r1 -- _type] .type .class) ∧ is_referencevalue(st[r1 -- fs ']) ∧ st[r1 -- mkfs(class1, ty2, fieldvar1) '] .refval = st[r1 -- fs '] .refval ∧ validrefs(str, st[r1 -- mkfs(class1, ty2, fieldvar1) '] .refval ' + refs, fs .type, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 32:
st[r1 -- mkfs(class1, ty2, fieldvar1) '] = refval(r2), st[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r1), st[r0 -- mkfs(class0, ty1, fieldvar0) '] = refval(r1), is_obj(str, r1, st), is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), validrefs(str, r1 ' + (r2 ' + refs) + r ', ty0, st), mkfs(class0, ty1, fieldvar0) ' ∈ instfields(st[r0 -- _type] .type .class), st[r1 -- _type] .type ≤ ty0, st[r1 -- _type] .type ≤ ty1, mkfs(class1, ty2, fieldvar1) ' ∈ instfields(st[r1 -- _type] .type .class), is_referencevalue(st[r1 -- mkfs(class1, ty2, fieldvar1) ']), validrefs(str, r2 ' + refs, ty2, st) ⊦ r0 = jvmref, r1 = jvmref, has_reffield((r2 ' + refs) .last, st), ∃ fs. fs ' ∈ instfields(st[r1 -- _type] .type .class) ∧ is_referencevalue(st[r1 -- fs ']) ∧ r2 = st[r1 -- fs '] .refval ∧ validrefs(str, r2 ' + refs, fs .type, st)

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [st[r1 -- mkfs(class1, ty2, fieldvar1) '], r2] ,T ,javavalue , ,elim-13 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (st[r1 -- mkfs(class1, ty2, fieldvar1) '], r2)]]