Nuprl Lemma : not-R-occurs-init-compat 11,40

ix:Id, T:Type, v:(T + (T)), A:Realizer. ((R-occurs(A;i;x)))  Rinit(i;T;x;v) || A 
latex


DefinitionsP  Q, Rinit-v(x1), Reffect-f(x1), Rinit-discrete(A), Rinit-x(x1), Rinit?(x1), Reffect-discrete(A), Top, {T}, SQType(T), P  Q, P  Q, , Rsends-T(x1), Reffect-T(x1), Rsends-dt(x1), Rpre-a(x1), Rpre-ds(x1), Rpre?(x1), Rsends-ds(x1), Rbframe-L(x1), Rbframe-k(x1), Rbframe?(x1), Rsframe-L(x1), Rsends-knd(x1), Rsends-g(x1), Rsframe-tag(x1), Rsends-l(x1), Rsframe-lnk(x1), Rsframe?(x1), Rsends?(x1), Rrframe-L(x1), Reffect-ds(x1), Rrframe-x(x1), Rrframe?(x1), Raframe-L(x1), Raframe-k(x1), Raframe?(x1), Rframe-L(x1), Reffect-knd(x1), Reffect-x(x1), Rframe-x(x1), Rframe?(x1), Reffect?(x1), tt, t.2, t.1, (i = j), R-interface-compat(A;B), R-discrete_compat(A;B), R-frame-compat(A;B), R-base-domain(R), p = q, Rda(R), Rds(R), R-loc(R), Rnone?(x1), Rplus-right(x1), Rplus-left(x1), P & Q, Rplus?(x1), Y, True, if b then t else f fi , p  q, p q, ff, xt(x), t  T, A || B, R-occurs(R;i;z), b, A, P  Q, x:AB(x), False, x(s), , Unit, Realizer, 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), left  right, Rnone(), , Rinit(loc;T;x;v)
Lemmasrationals wf, es realizer wf, assert-deq-member, l member wf, deq-member wf, locl wf, lnk-decl wf, fpf-join wf, fpf-compatible-single2, fpf-empty-compatible-left, fpf-trivial-subtype-top, or functionality wrt iff, assert of bor, fpf-dom wf, bor wf, fpf-compatible-single-iff, fpf-single wf3, fpf-compatible-symmetry, fpf-single wf, lsrc wf, and functionality wrt iff, assert of band, true wf, btrue wf, band wf, top wf, fpf-empty wf, Kind-deq wf, fpf-empty-compatible-right, not functionality wrt iff, id-deq wf, fpf-compatible-singles, eq id self, Id sq, assert-eq-id, eq id wf, Rplus wf, assert of bnot, eqff to assert, not wf, bnot wf, assert wf, iff transitivity, eqtt to assert, R-occurs wf, Rinit wf, R-compat-Rplus2, bool wf, finite-prob-space wf, decl-type wf, decl-state wf, fpf wf, IdLnk wf, Knd wf, Id wf, unit wf

origin