Nuprl Lemma : ma-ring_wf

R:Id List. s:{i:Id| (i  R)}   {i:Id| (i  R)} .  (ma-ring(R;s)  )


Proof not projected




Definitions occuring in Statement :  ma-ring: ma-ring(R;s) Id: Id prop: all: x:A. B[x] member: t  T set: {x:A| B[x]}  function: x:A  B[x] list: type List l_member: (x  l)
Definitions :  universe: Type prop: equal: s = t member: t  T isect: x:A. B[x] uall: [x:A]. B[x] function: x:A  B[x] all: x:A. B[x] l_member: (x  l) Id: Id set: {x:A| B[x]}  list: type List ma-ring: ma-ring(R;s) and: P  Q product: x:A  B[x] inject: Inj(A;B;f) exists: x:A. B[x] nat: limited-type: LimitedType apply: f a fun_exp: f^n
Lemmas :  fun_exp_wf Id_wf l_member_wf nat_wf inject_wf

\mforall{}R:Id  List.  \mforall{}s:\{i:Id|  (i  \mmember{}  R)\}    {}\mrightarrow{}  \{i:Id|  (i  \mmember{}  R)\}  .    (ma-ring(R;s)  \mmember{}  \mBbbP{})


Date html generated: 2012_02_20-PM-05_55_42
Last ObjectModification: 2012_02_02-PM-02_29_41

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