Nuprl Definition : r2-line-sep

r2-line-sep(l;m) ==  ∃p:ℝ^2. ((|pfst(l)fst(snd(l))| r0) ∧ |pfst(m)fst(snd(m))| ≠ r0)



Definitions occuring in Statement :  r2-det: |pqr| real-vec: ^n rneq: x ≠ y req: y int-to-real: r(n) pi1: fst(t) pi2: snd(t) exists: x:A. B[x] and: P ∧ Q natural_number: $n
Definitions occuring in definition :  natural_number: $n int-to-real: r(n) pi2: snd(t) pi1: fst(t) r2-det: |pqr| rneq: x ≠ y req: y and: P ∧ Q real-vec: ^n exists: x:A. B[x]
FDL editor aliases :  r2-line-sep

Latex:
r2-line-sep(l;m)  ==    \mexists{}p:\mBbbR{}\^{}2.  ((|pfst(l)fst(snd(l))|  =  r0)  \mwedge{}  |pfst(m)fst(snd(m))|  \mneq{}  r0)



Date html generated: 2018_07_29-AM-09_46_57
Last ObjectModification: 2018_07_02-PM-04_02_51

Theory : reals!model!euclidean!geometry


Home Index