Nuprl Definition : real-vec-between
a-b-c ==  ∃t:ℝ. ((t ∈ (r0, r1)) ∧ req-vec(n;b;t*a + r1 - t*c))
Definitions occuring in Statement : 
real-vec-mul: a*X, 
real-vec-add: X + Y, 
req-vec: req-vec(n;x;y), 
rooint: (l, u), 
i-member: r ∈ I, 
rsub: x - y, 
int-to-real: r(n), 
real: ℝ, 
exists: ∃x:A. B[x], 
and: P ∧ Q, 
natural_number: $n
Definitions occuring in definition : 
natural_number: $n, 
int-to-real: r(n), 
rsub: x - y, 
real-vec-mul: a*X, 
real-vec-add: X + Y, 
req-vec: req-vec(n;x;y), 
rooint: (l, u), 
i-member: r ∈ I, 
and: P ∧ Q, 
real: ℝ, 
exists: ∃x:A. B[x]
FDL editor aliases : 
real-vec-between
Latex:
a-b-c  ==    \mexists{}t:\mBbbR{}.  ((t  \mmember{}  (r0,  r1))  \mwedge{}  req-vec(n;b;t*a  +  r1  -  t*c))
Date html generated:
2016_10_26-AM-10_17_19
Last ObjectModification:
2016_09_24-PM-09_26_26
Theory : reals
Home
Index