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

validvals(str, rkvs0, st), validvals(str, rkvs1, st), rk × val ∈ rkvs0 ⊦ validval(str, rk, val, st[rkvs1]), validval(str, rk, val, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ validvals(str, rkvs, st) ↔ (∀ rkv. rkv ∈ rkvs → validval(str, rkv .1, rkv .2, st))
Proof step 4:
∀ rkv. rkv ∈ rkvs0 → validval(str, rkv .1, rkv .2, st), validvals(str, rkvs1, st), rk × val ∈ rkvs0 ⊦ validval(str, rk, val, st[rkvs1]), validval(str, rk, val, st)

Rule argument

[crewrite-arg: validrefkeyvalues-def , F , [st, rkvs, str] → [st, rkvs0, str] ]

Additional information

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