Nuprl Definition : preserved_by
R preserves P ==  ∀x,y:T.  ((P x) ⇒ (x R y) ⇒ (P y))
Definitions occuring in Statement : 
infix_ap: x f y, 
all: ∀x:A. B[x], 
implies: P ⇒ Q, 
apply: f a
Definitions occuring in definition : 
all: ∀x:A. B[x], 
implies: P ⇒ Q, 
infix_ap: x f y, 
apply: f a
FDL editor aliases : 
preserved_by
Latex:
R  preserves  P  ==    \mforall{}x,y:T.    ((P  x)  {}\mRightarrow{}  (x  R  y)  {}\mRightarrow{}  (P  y))
Date html generated:
2016_05_13-PM-04_19_01
Last ObjectModification:
2015_09_22-PM-05_46_45
Theory : relations
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