Nuprl Lemma : geo-congruent-implies-ge
∀[g:BasicGeometry-]. ∀[c,d,a,b:Point].  cd ≥ ab supposing cd ≅ ab
Proof
Definitions occuring in Statement : 
basic-geometry-: BasicGeometry-
, 
geo-ge: ab ≥ cd
, 
geo-congruent: ab ≅ cd
, 
geo-point: Point
, 
uimplies: b supposing a
, 
uall: ∀[x:A]. B[x]
Definitions unfolded in proof : 
guard: {T}
, 
false: False
, 
prop: ℙ
, 
subtype_rel: A ⊆r B
, 
or: P ∨ Q
, 
geo-length-sep: ab # cd)
, 
geo-congruent: ab ≅ cd
, 
implies: P 
⇒ Q
, 
not: ¬A
, 
geo-ge: ab ≥ cd
, 
uimplies: b supposing a
, 
member: t ∈ T
, 
uall: ∀[x:A]. B[x]
Latex:
\mforall{}[g:BasicGeometry-].  \mforall{}[c,d,a,b:Point].    cd  \mgeq{}  ab  supposing  cd  \mcong{}  ab
Date html generated:
2020_05_20-AM-09_48_50
Last ObjectModification:
2019_12_20-PM-07_38_05
Theory : euclidean!plane!geometry
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