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Proof step 4 from proof validvals-putrkvs (previous step)

∀ 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)

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 1, [QUANTTERMLIST : (rk × val)]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (rk × val) .1 = rk], [CSIMPSEQ : ⊦ (rk × val) .2 = val])], [EXTRATERMS : (rk × val)]]