Nuprl Lemma : three-intersection-two-intersection
∀A:Id List. ∀W:{a:Id| (a ∈ A)}  List List.  (three-intersection(A;W) 
⇒ two-intersection(A;W))
Proof
Definitions occuring in Statement : 
three-intersection: three-intersection(A;W)
, 
two-intersection: two-intersection(A;W)
, 
Id: Id
, 
l_member: (x ∈ l)
, 
list: T List
, 
all: ∀x:A. B[x]
, 
implies: P 
⇒ Q
, 
set: {x:A| B[x]} 
Lemmas : 
l_member_wf, 
select_wf, 
sq_stable__le, 
int_seg_wf, 
length_wf, 
three-intersection_wf, 
list_wf, 
Id_wf
\mforall{}A:Id  List.  \mforall{}W:\{a:Id|  (a  \mmember{}  A)\}    List  List.    (three-intersection(A;W)  {}\mRightarrow{}  two-intersection(A;W))
Date html generated:
2015_07_17-AM-11_28_51
Last ObjectModification:
2015_01_28-AM-01_35_14
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