Nuprl Definition : allsetmem
∀a∈A.P[a] ==  ∀i:set-dom(A). P[set-item(A;i)]
Definitions occuring in Statement : 
set-item: set-item(s;x)
, 
set-dom: set-dom(s)
, 
all: ∀x:A. B[x]
Definitions occuring in definition : 
set-item: set-item(s;x)
, 
set-dom: set-dom(s)
, 
all: ∀x:A. B[x]
FDL editor aliases : 
allsetmem
Latex:
\mforall{}a\mmember{}A.P[a]  ==    \mforall{}i:set-dom(A).  P[set-item(A;i)]
Date html generated:
2018_05_29-PM-01_48_13
Last ObjectModification:
2018_05_26-PM-07_30_31
Theory : constructive!set!theory
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