Nuprl Definition : relclosed-set

closed(x,a.R[x; a])s ==  ∀x,a:Set{i:l}.  ((x ⊆ s)  R[x; a]  (a ∈ s))



Definitions occuring in Statement :  setsubset: (a ⊆ b) setmem: (x ∈ s) Set: Set{i:l} all: x:A. B[x] implies:  Q
Definitions occuring in definition :  setmem: (x ∈ s) implies:  Q setsubset: (a ⊆ b) Set: Set{i:l} all: x:A. B[x]
FDL editor aliases :  relclosed-set

Latex:
closed(x,a.R[x;  a])s  ==    \mforall{}x,a:Set\{i:l\}.    ((x  \msubseteq{}  s)  {}\mRightarrow{}  R[x;  a]  {}\mRightarrow{}  (a  \mmember{}  s))



Date html generated: 2018_05_29-PM-01_53_19
Last ObjectModification: 2018_05_25-AM-08_29_28

Theory : constructive!set!theory


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