Nuprl Definition : k-monotone
k-Monotone(T.F[T]) ==  ∀[A,B:ℕk ⟶ Type].  F[A] ⊆ F[B] supposing A ⊆ B
Definitions occuring in Statement : 
k-subtype: A ⊆ B
, 
int_seg: {i..j-}
, 
uimplies: b supposing a
, 
uall: ∀[x:A]. B[x]
, 
function: x:A ⟶ B[x]
, 
natural_number: $n
, 
universe: Type
Definitions occuring in definition : 
uall: ∀[x:A]. B[x]
, 
function: x:A ⟶ B[x]
, 
int_seg: {i..j-}
, 
natural_number: $n
, 
universe: Type
, 
uimplies: b supposing a
, 
k-subtype: A ⊆ B
FDL editor aliases : 
k-monotone
Latex:
k-Monotone(T.F[T])  ==    \mforall{}[A,B:\mBbbN{}k  {}\mrightarrow{}  Type].    F[A]  \msubseteq{}  F[B]  supposing  A  \msubseteq{}  B
Date html generated:
2019_06_20-PM-01_12_43
Last ObjectModification:
2019_01_02-PM-01_36_03
Theory : co-recursion-2
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