Nuprl Definition : baf-bar

baf-bar(n,m.R[n; m];n,m.T[n; m];l;a) ==
  strictly-increasing-seq(l;a) ∧ (∃i:ℕl. ∃j,k:{i 1..l-}. (R[a i; j] ∧ T[a i; k]))



Definitions occuring in Statement :  strictly-increasing-seq: strictly-increasing-seq(n;s) int_seg: {i..j-} exists: x:A. B[x] and: P ∧ Q apply: a add: m natural_number: $n
Definitions occuring in definition :  strictly-increasing-seq: strictly-increasing-seq(n;s) exists: x:A. B[x] int_seg: {i..j-} add: m natural_number: $n and: P ∧ Q apply: a
FDL editor aliases :  baf-bar

Latex:
baf-bar(n,m.R[n;  m];n,m.T[n;  m];l;a)  ==
    strictly-increasing-seq(l;a)  \mwedge{}  (\mexists{}i:\mBbbN{}l.  \mexists{}j,k:\{i  +  1..l\msupminus{}\}.  (R[a  i;  a  j]  \mwedge{}  T[a  i;  a  k]))



Date html generated: 2016_05_14-PM-09_51_24
Last ObjectModification: 2015_12_20-PM-06_09_08

Theory : continuity


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