Nuprl Definition : rn-ip
ipℝ^n ==  vs=vecℝ^n;ip=λx,y. x⋅y;positive=TERMOF{real-vec-sep-0-iff:o, 1:l} n;perp=TERMOF{real-vec-perp-exists:o, 1:l} n
Definitions occuring in Statement : 
rv-n: vecℝ^n
, 
mk-inner-product-space: mk-inner-product-space, 
dot-product: x⋅y
, 
apply: f a
, 
lambda: λx.A[x]
Definitions occuring in definition : 
mk-inner-product-space: mk-inner-product-space, 
rv-n: vecℝ^n
, 
lambda: λx.A[x]
, 
dot-product: x⋅y
, 
apply: f a
TermOfs occuring in Definition : 
real-vec-perp-exists, 
real-vec-sep-0-iff
FDL editor aliases : 
rn-ip
Latex:
ip\mBbbR{}\^{}n  ==
    vs=vec\mBbbR{}\^{}n;
    ip=\mlambda{}x,y.  x\mcdot{}y;
    positive=TERMOF\{real-vec-sep-0-iff:o,  1:l\}  n;
    perp=TERMOF\{real-vec-perp-exists:o,  1:l\}  n
Date html generated:
2017_10_04-PM-11_50_57
Last ObjectModification:
2017_04_07-PM-04_33_55
Theory : inner!product!spaces
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