Nuprl Definition : upwd-closure
upwd-closure(T;A) ==  λas.∃bs:T List. (bs ≤ as ∧ (A bs))
Definitions occuring in Statement : 
iseg: l1 ≤ l2
, 
list: T List
, 
exists: ∃x:A. B[x]
, 
and: P ∧ Q
, 
apply: f a
, 
lambda: λx.A[x]
Definitions occuring in definition : 
lambda: λx.A[x]
, 
exists: ∃x:A. B[x]
, 
list: T List
, 
and: P ∧ Q
, 
iseg: l1 ≤ l2
, 
apply: f a
FDL editor aliases : 
upwd-closure
Latex:
upwd-closure(T;A)  ==    \mlambda{}as.\mexists{}bs:T  List.  (bs  \mleq{}  as  \mwedge{}  (A  bs))
Date html generated:
2016_05_14-PM-04_10_00
Last ObjectModification:
2015_09_22-PM-06_02_19
Theory : fan-theorem
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