Nuprl Lemma : one-intersection_wf
∀[A:Id List]. ∀[W:{a:Id| (a ∈ A)}  List List].  (one-intersection(A;W) ∈ ℙ)
Proof
Definitions occuring in Statement : 
one-intersection: one-intersection(A;W)
, 
Id: Id
, 
l_member: (x ∈ l)
, 
list: T List
, 
uall: ∀[x:A]. B[x]
, 
prop: ℙ
, 
member: t ∈ T
, 
set: {x:A| B[x]} 
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
one-intersection: one-intersection(A;W)
, 
prop: ℙ
, 
so_lambda: λ2x.t[x]
, 
all: ∀x:A. B[x]
, 
so_apply: x[s]
Latex:
\mforall{}[A:Id  List].  \mforall{}[W:\{a:Id|  (a  \mmember{}  A)\}    List  List].    (one-intersection(A;W)  \mmember{}  \mBbbP{})
Date html generated:
2016_05_16-PM-00_00_34
Last ObjectModification:
2015_12_29-PM-01_20_56
Theory : event-ordering
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