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

is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), is_referencevalue(st[r0 -- mkfs(class, ty0, fieldvar) ']), validrefs(str, st[r0 -- mkfs(class, ty0, fieldvar) '] .refval ' + refs, ty0, st -- r), ∀ str0, ty1, st0, r1. validrefs(str0, st[r0 -- mkfs(class, ty0, fieldvar) '] .refval ' + refs, ty1, st0 -- r1) → validrefs(str0, st[r0 -- mkfs(class, ty0, fieldvar) '] .refval ' + refs, ty1, st0) ⊦ r0 = jvmref, r = r0, ∃ fs. fs ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs ']) ∧ st[r0 -- mkfs(class, ty0, fieldvar) '] .refval = st[r0 -- fs '] .refval ∧ validrefs(str, st[r0 -- mkfs(class, ty0, fieldvar) '] .refval ' + refs, fs .type, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 12:
st[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r2), is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), is_referencevalue(st[r0 -- mkfs(class, ty0, fieldvar) ']), validrefs(str, r2 ' + refs, ty0, st -- r), ∀ str0, ty1, st0, r1. validrefs(str0, r2 ' + refs, ty1, st0 -- r1) → validrefs(str0, r2 ' + refs, ty1, st0) ⊦ r0 = jvmref, r = r0, ∃ fs. fs ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs ']) ∧ r2 = st[r0 -- fs '] .refval ∧ validrefs(str, r2 ' + refs, fs .type, st)

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [st[r0 -- mkfs(class, ty0, fieldvar) '], r2] ,T ,javavalue , ,elim-13 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (st[r0 -- mkfs(class, ty0, fieldvar) '], r2)]]