Nuprl Lemma : dom-R-ds-occurs 11,40

i,x:Id, A:es_realizer{i:l}. (fpf-dom(id-deq; x; R-ds(A; i)))  (R-occurs(A; i; x)) 
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Definitionssq_type(T), tt, P  Q, top, P  Q, P  Q, P  Q, prop{i:l}, guard(T), Y, reduce(f; k; as), t.1, deq-member(eq; x; L), band(p; q), ff, if b then t else f fi , fpf-empty, x. t(x), t  T, R-occurs(R; i; z), R-ds(R; i), fpf-dom(eq; x; f), b, P  Q, x:A. B(x), False, x(s), , Unit, es_realizer{i:l}, Rrframe(loc; x; L), Rbframe(loc; k; L), Raframe(loc; k; L), Rpre(loc; ds; a; p; P), Rsends(ds; knd; T; l; dt; g), Reffect(loc; ds; knd; T; x; f), Rsframe(lnk; tag; L), Rframe(loc; T; x; L), Rinit(loc; T; x; v), Rplus(left; right), Rnone,
Lemmases realizer wf, assert-deq-member, and functionality wrt iff, assert of band, l member wf, deq-member wf, band wf, lsrc wf, or functionality wrt iff, fpf-empty wf, not functionality wrt iff, assert of bnot, eqff to assert, not wf, bnot wf, fpf-single wf, Id sq, fpf-single-dom, assert-eq-id, eqtt to assert, iff transitivity, eq id wf, assert of bor, fpf-join-dom, R-occurs wf, bor wf, fpf-trivial-subtype-top, R-ds wf, top wf, fpf-join wf, id-deq wf, fpf-dom wf, assert wf, implies functionality wrt iff, false wf, bool wf, finite-prob-space wf, decl-type wf, decl-state wf, fpf wf, IdLnk wf, Knd wf, rationals wf, Id wf, unit wf

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