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Proof step 39 from proof validrefs-addobj-notin (previous step)

validrefs(str, r0 ' + acc, ty, st), ∀ str, ty, st, r, class, fis. validrefs(str, acc, ty, st) → r ∈ acc ∨ validrefs(str, acc, ty, addobj(r, class, fis, st)) ⊦ r = r0, r ∈ acc, validrefs(str, r0 ' + acc, ty, addobj(r, class, fis, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ r = jvmref → (validrefs(str, r ' + refs, ty, st) ↔ refs = [])
Proof step 37:
r0 ≠ jvmref, validrefs(str, r0 ' + acc, ty, st), ∀ str, ty, st, r, class, fis. validrefs(str, acc, ty, st) → r ∈ acc ∨ validrefs(str, acc, ty, addobj(r, class, fis, st)) ⊦ r = r0, r ∈ acc, validrefs(str, r0 ' + acc, ty, addobj(r, class, fis, st))
Proof step 38:
⊦ validrefs(str, jvmref ', ty, st)

Rule argument

[crewrite-arg: validrefs-null , F , [st, ty, refs, r, str] → [st, ty, acc, r0, str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ r ∈ []], [CSIMPSEQ : ⊦ refs + [] = refs], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])], [EXTRATERMS : (st, ty, acc, r0, str)]]