Nuprl Lemma : vr_exists_uni_wf

[T:Type]. [P:T  ].  (!x:T. P[x]  )


Proof not projected




Definitions occuring in Statement :  vr_exists_uni: !x:T. P[x] uall: [x:A]. B[x] prop: so_apply: x[s] member: t  T function: x:A  B[x] universe: Type
Definitions :  equal: s = t member: t  T universe: Type prop: function: x:A  B[x] isect: x:A. B[x] uall: [x:A]. B[x] axiom: Ax apply: f a so_apply: x[s] vr_exists_uni: !x:T. P[x] exists: x:A. B[x] product: x:A  B[x] and: P  Q all: x:A. B[x] implies: P  Q limited-type: LimitedType

\mforall{}[T:Type].  \mforall{}[P:T  {}\mrightarrow{}  \mBbbP{}].    (\mexists{}!x:T.  P[x]  \mmember{}  \mBbbP{})


Date html generated: 2012_02_20-PM-03_32_45
Last ObjectModification: 2012_02_02-PM-01_55_11

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