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Proof step 53 from proof junkrefs-put-badclassfield (previous step)

is_classtype(st[r0 -- _type] .type), junkrefs(str, r ' + acc, ty, st[r0 -- fs ', val]), ∀ str, ty, st, fs, r0, val. ¬ junkrefs(str, acc, ty, st) ∧ fs ' ≠ _type ∧ is_classtype(st[r0 -- _type] .type) ∧ ¬ fs ' ∈ instfields(st[r0 -- _type] .type .class) → ¬ junkrefs(str, acc, ty, st[r0 -- fs ', val]) ⊦ fs ' = _type, fs ' ∈ instfields(st[r0 -- _type] .type .class), junkrefs(str, r ' + acc, ty, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 52:
st[r0 -- _type] .type = mkclasstype(class), is_classtype(st[r0 -- _type] .type), junkrefs(str, r ' + acc, ty, st[r0 -- fs ', val]), ∀ str, ty, st, fs, r0, val. ¬ junkrefs(str, acc, ty, st) ∧ fs ' ≠ _type ∧ is_classtype(st[r0 -- _type] .type) ∧ ¬ fs ' ∈ instfields(st[r0 -- _type] .type .class) → ¬ junkrefs(str, acc, ty, st[r0 -- fs ', val]) ⊦ fs ' = _type, fs ' ∈ instfields(class), junkrefs(str, r ' + acc, ty, st)

Rule argument

[speclemmaarg: ,is_classtype(ty) → (class = ty .class ↔ ty = mkclasstype(class)) ,[ty, class] → [st[r0 -- _type] .type, class] ,T ,javatype , ,elim-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_classtype(ty) → ( class = ty .class ↔ ty = mkclasstype(class))])], [EXTRATERMS : (st[r0 -- _type] .type, class)]]