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Proof step 5 from proof validref-putrkvs (previous step)

validref(str, r, ty, st[rk, val]), validref(str, r, ty, st), validval(str, rk, val, st), validvals(str, rkvs0, st), validref(str, r, ty, st[rkvs0]) ⊦ validref(str, r, ty, st[rk, val][rkvs0]), validvals(str, rkvs0, st[rk, val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ validval(str, rk, val, st) ∧ validvals(str, rkvs, st) → validvals(str, rkvs, st[rk, val])

Rule argument

[crewrite-arg: validvals-put-any , F , [val, rk, st, rkvs, str] → [val, rk, st, rkvs0, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (val, rk, st, rkvs0, str)]]