Nuprl Definition : pgeo-order
order(pg) = n == ∀l:Line. p,q:{p:Point| p I l} //p ≡ q ~ ℕn + 1
Definitions occuring in Statement :
pgeo-peq: a ≡ b,
pgeo-incident: a I b,
pgeo-line: Line,
pgeo-point: Point,
equipollent: A ~ B,
quotient: x,y:A//B[x; y],
int_seg: {i..j-},
all: ∀x:A. B[x],
set: {x:A| B[x]} ,
add: n + m,
natural_number: $n
Definitions occuring in definition :
all: ∀x:A. B[x],
pgeo-line: Line,
equipollent: A ~ B,
quotient: x,y:A//B[x; y],
set: {x:A| B[x]} ,
pgeo-point: Point,
pgeo-incident: a I b,
pgeo-peq: a ≡ b,
int_seg: {i..j-},
add: n + m,
natural_number: $n
FDL editor aliases :
pgeo-order
Latex:
order(pg) = n == \mforall{}l:Line. p,q:\{p:Point| p I l\} //p \mequiv{} q \msim{} \mBbbN{}n + 1
Date html generated:
2018_05_22-PM-00_57_56
Last ObjectModification:
2018_01_10-AM-10_04_09
Theory : euclidean!plane!geometry
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