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Proof step 69 from proof validref-putrkvs (previous step)

validref(str, r, ty, st), validvals(str, rkvs, st) ⊦ validref(str, r, ty, st[rkvs])

User applied rule structural induction

And obtained the following new goals

Proof step 68:
∀ str, r, ty, st. validref(str, r, ty, st) ∧ validvals(str, rkvs0, st) → validref(str, r, ty, st[rkvs0]), validref(str, r, ty, st), validvals(str, rkv + rkvs0, st) ⊦ validref(str, r, ty, st[rkv + rkvs0])

Rule argument

[VARWITHVARSEQSARG : rkvs, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : refkeyvalues generated by [], +;], [CSIMPSEQ : ⊦ st[[]] = st])]]