Nuprl Definition : triangle-axiom1
triangle-axiom1(g) == ∀p,q,r:Point. ∀s:p ≠ q. ∀s1:q ≠ r. (r ≠ p ∨ q
⇒ p ≠ q ∨ r)
Definitions occuring in Statement :
pgeo-join: p ∨ q
,
pgeo-psep: a ≠ b
,
pgeo-plsep: a ≠ b
,
pgeo-point: Point
,
all: ∀x:A. B[x]
,
implies: P
⇒ Q
Definitions occuring in definition :
pgeo-point: Point
,
all: ∀x:A. B[x]
,
pgeo-psep: a ≠ b
,
implies: P
⇒ Q
,
pgeo-plsep: a ≠ b
,
pgeo-join: p ∨ q
FDL editor aliases :
triangle-axiom1
Latex:
triangle-axiom1(g) == \mforall{}p,q,r:Point. \mforall{}s:p \mneq{} q. \mforall{}s1:q \mneq{} r. (r \mneq{} p \mvee{} q {}\mRightarrow{} p \mneq{} q \mvee{} r)
Date html generated:
2018_05_22-PM-00_40_08
Last ObjectModification:
2017_11_03-PM-01_44_01
Theory : euclidean!plane!geometry
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