Nuprl Definition : intersectionset
⋂(s) ==  {x ∈ ⋃(s) | ∀z∈s.(x ∈ z)}
Definitions occuring in Statement : 
allsetmem: ∀a∈A.P[a]
, 
unionset: ⋃(s)
, 
sub-set: {a ∈ s | P[a]}
, 
setmem: (x ∈ s)
Definitions occuring in definition : 
setmem: (x ∈ s)
, 
allsetmem: ∀a∈A.P[a]
, 
unionset: ⋃(s)
, 
sub-set: {a ∈ s | P[a]}
FDL editor aliases : 
intersectionset
Latex:
\mcap{}(s)  ==    \{x  \mmember{}  \mcup{}(s)  |  \mforall{}z\mmember{}s.(x  \mmember{}  z)\}
Date html generated:
2018_05_29-PM-01_48_33
Last ObjectModification:
2018_05_26-PM-10_00_47
Theory : constructive!set!theory
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