Nuprl Definition : fpf-all
∀x∈dom(f). v=f(x) 
⇒  P[x; v] ==  ∀x:A. ((↑x ∈ dom(f)) 
⇒ P[x; f(x)])
Definitions occuring in Statement : 
fpf-ap: f(x)
, 
fpf-dom: x ∈ dom(f)
, 
assert: ↑b
, 
all: ∀x:A. B[x]
, 
implies: P 
⇒ Q
FDL editor aliases : 
fpf-all
\mforall{}x\mmember{}dom(f).  v=f(x)  {}\mRightarrow{}    P[x;  v]  ==    \mforall{}x:A.  ((\muparrow{}x  \mmember{}  dom(f))  {}\mRightarrow{}  P[x;  f(x)])
Date html generated:
2015_07_17-AM-11_10_14
Last ObjectModification:
2012_02_25-AM-11_10_55
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