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Proof step 60 from proof junkrefs-notin (previous step)

⊦ junkrefs(str, refs + r ' + refs0, ty, st) ↔ junkrefs(str, refs + r ', ty, st), r ∈ st

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ ¬ r ∈ st → (junkrefs(str, r ' + refs, ty, st) ↔ r ≠ jvmref)
Proof step 2:
⊦ ¬ r ∈ st → (junkrefs(str, r ', ty, st) ↔ r ≠ jvmref)
Proof step 59:
∀ str, r, refs0, ty, st. (junkrefs(str, acc + r ' + refs0, ty, st) ↔ junkrefs(str, acc + r ', ty, st)) ∨ r ∈ st ⊦ junkrefs(str, (r0 + acc) + r ' + refs0, ty, st) ↔ junkrefs(str, (r0 + acc) + r ', ty, st), r ∈ st

Rule argument

[VARWITHVARSEQSARG : refs, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : references generated by [], +;], [CSIMPSEQ : ⊦ [] + refs = refs], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]