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Proof step 41 from proof validrefs-addobj-notin (previous step)

validrefs(str, refs, ty, st) ⊦ r ∈ refs, validrefs(str, refs, ty, addobj(r, class, fis, st))

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ validrefs(str, [], ty, st)
Proof step 40:
∀ str, ty, st, r, class, fis. validrefs(str, acc, ty, st) → r ∈ acc ∨ validrefs(str, acc, ty, addobj(r, class, fis, st)), validrefs(str, r0 + acc, ty, st) ⊦ r ∈ r0 + acc, validrefs(str, r0 + acc, ty, addobj(r, class, fis, st))

Rule argument

[VARWITHVARSEQSARG : refs, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : references generated by [], +;], [CSIMPSEQ : ⊦ ¬ r ∈ []])]]