Nuprl Lemma : l-all-iff 0,22

T:Type, L:T List, P:({x:T| (x  L) }Prop). xL.P(x (xLP(x)) 
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Definitionsx(s), xLP(x), xL.P(x), P  Q, Prop, x:AB(x), t  T, xt(x), True, P  Q, P  Q, P & Q, (x  l), strong-subtype(A;B), ||as||, False, A, AB, , A & B, l[i], x:AB(x), {T}, SQType(T)
Lemmasnat wf, length wf1, select wf, strong-subtype-l member, strong-subtype-set3, strong-subtype-self, list-subtype, iff functionality wrt iff, l all cons, l-all wf, l member wf, true wf, l all wf, l all nil

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