Nuprl Definition : adjacent

adjacent(T;L;x;y) ==  ∃i:ℕ||L|| 1. ((x L[i] ∈ T) ∧ (y L[i 1] ∈ T))



Definitions occuring in Statement :  select: L[n] length: ||as|| int_seg: {i..j-} exists: x:A. B[x] and: P ∧ Q subtract: m add: m natural_number: $n equal: t ∈ T
Definitions occuring in definition :  exists: x:A. B[x] int_seg: {i..j-} subtract: m length: ||as|| and: P ∧ Q equal: t ∈ T select: L[n] add: m natural_number: $n
FDL editor aliases :  adjacent

Latex:
adjacent(T;L;x;y)  ==    \mexists{}i:\mBbbN{}||L||  -  1.  ((x  =  L[i])  \mwedge{}  (y  =  L[i  +  1]))



Date html generated: 2016_05_15-PM-03_36_51
Last ObjectModification: 2015_09_23-AM-07_44_19

Theory : general


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