Nuprl Definition : family-monotone
family-monotone{i:l}(P;H) ==  ∀F,G:P ⟶ Type.  (F ⊆ G 
⇒ H F ⊆ H G)
Definitions occuring in Statement : 
sub-family: F ⊆ G
, 
all: ∀x:A. B[x]
, 
implies: P 
⇒ Q
, 
apply: f a
, 
function: x:A ⟶ B[x]
, 
universe: Type
Definitions occuring in definition : 
all: ∀x:A. B[x]
, 
function: x:A ⟶ B[x]
, 
universe: Type
, 
implies: P 
⇒ Q
, 
sub-family: F ⊆ G
, 
apply: f a
FDL editor aliases : 
family-monotone
Latex:
family-monotone\{i:l\}(P;H)  ==    \mforall{}F,G:P  {}\mrightarrow{}  Type.    (F  \msubseteq{}  G  {}\mRightarrow{}  H  F  \msubseteq{}  H  G)
Date html generated:
2016_05_14-AM-06_12_14
Last ObjectModification:
2015_09_22-PM-05_46_58
Theory : co-recursion
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