Nuprl Definition : order-preserving
order-preserving(A;B;a1,a2.R1[a1; a2];b1,b2.R2[b1; b2];f) ==  ∀a1,a2:A.  (R1[a1; a2] 
⇒ R2[f a1; f a2])
Definitions occuring in Statement : 
all: ∀x:A. B[x]
, 
implies: P 
⇒ Q
, 
apply: f a
Definitions occuring in definition : 
all: ∀x:A. B[x]
, 
implies: P 
⇒ Q
, 
apply: f a
FDL editor aliases : 
order-preserving
Latex:
order-preserving(A;B;a1,a2.R1[a1;  a2];b1,b2.R2[b1;  b2];f)  ==
    \mforall{}a1,a2:A.    (R1[a1;  a2]  {}\mRightarrow{}  R2[f  a1;  f  a2])
Date html generated:
2016_05_15-PM-03_28_29
Last ObjectModification:
2015_09_23-AM-07_43_33
Theory : general
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