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Proof step 11 from proof validfieldinits-def-01 (previous step)

sk .fs = mkfs(class0, ty0, fieldvar0), is_referencevalue(val), okval(val, ty), type∃(str, ty), validfieldinits(str, fis0, st), validfieldinits(fis0, st), validrefval(str, val, ty, st), ∀ str, st. validfieldinits(str, fis0, st) ↔ validfieldinits(fis0, st) ∧ ¬ junkrefs(str, fis0 .vals, st) ∧ (∀ sk. sk ∈ fis0 → type∃(str, sk .fs .type)), ∀ sk. sk ∈ fis0 → type∃(str, sk .fs .type) ⊦ val .refval = jvmref, junkrefs(str, fis0 .vals, st), val .refval -- _type ∈ st ∧ is_typevalue(st[val .refval -- _type]) ∧ st[val .refval -- _type] .type ≤ ty

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 10:
val = refval(r), sk .fs = mkfs(class0, ty0, fieldvar0), is_referencevalue(val), okval(val, ty), type∃(str, ty), validfieldinits(str, fis0, st), validfieldinits(fis0, st), validrefval(str, val, ty, st), ∀ str, st. validfieldinits(str, fis0, st) ↔ validfieldinits(fis0, st) ∧ ¬ junkrefs(str, fis0 .vals, st) ∧ (∀ sk. sk ∈ fis0 → type∃(str, sk .fs .type)), ∀ sk. sk ∈ fis0 → type∃(str, sk .fs .type) ⊦ r = jvmref, junkrefs(str, fis0 .vals, st), r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ st[r -- _type] .type ≤ ty

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [val, r] ,T ,javavalue , ,elim-13 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (val, r)]]