Nuprl Lemma : geo-seg-length-test-ext
∀e:BasicGeometry. ∀[a,b,c,d,x,y:Point]. (ba ≅ xy) supposing (dc ≅ yx and ab ≅ cd)
Proof
Definitions occuring in Statement :
basic-geometry: BasicGeometry,
geo-congruent: ab ≅ cd,
geo-point: Point,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x]
Definitions unfolded in proof :
member: t ∈ T,
geo-seg-length-test,
geo-congruent-iff-length,
geo-seg-congruent-iff-length
Latex:
\mforall{}e:BasicGeometry. \mforall{}[a,b,c,d,x,y:Point]. (ba \mcong{} xy) supposing (dc \mcong{} yx and ab \mcong{} cd)
Date html generated:
2020_05_20-AM-09_53_52
Last ObjectModification:
2020_01_13-PM-03_26_40
Theory : euclidean!plane!geometry
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