Nuprl Lemma : geo-ge-trivial
∀[g:BasicGeometry]. ∀[a,b:Point].  ab ≥ ab
Proof
Definitions occuring in Statement : 
basic-geometry: BasicGeometry
, 
geo-ge: ab ≥ cd
, 
geo-point: Point
, 
uall: ∀[x:A]. B[x]
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
geo-ge: ab ≥ cd
, 
not: ¬A
, 
implies: P 
⇒ Q
, 
subtype_rel: A ⊆r B
, 
prop: ℙ
, 
false: False
, 
guard: {T}
, 
uimplies: b supposing a
, 
basic-geometry: BasicGeometry
, 
euclidean-plane: EuclideanPlane
, 
all: ∀x:A. B[x]
, 
sq_stable: SqStable(P)
, 
squash: ↓T
Latex:
\mforall{}[g:BasicGeometry].  \mforall{}[a,b:Point].    ab  \mgeq{}  ab
Date html generated:
2020_05_20-AM-09_49_08
Last ObjectModification:
2020_01_27-PM-10_23_20
Theory : euclidean!plane!geometry
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