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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