Nuprl Lemma : geo-cong-tri-symmetry
∀[e:BasicGeometry]. ∀[a,b,c,a',b',c':Point]. Cong3(bca,b'c'a') supposing Cong3(abc,a'b'c')
Proof
Definitions occuring in Statement :
geo-cong-tri: Cong3(abc,a'b'c'),
basic-geometry: BasicGeometry,
geo-point: Point,
uimplies: b supposing a,
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
geo-cong-tri: Cong3(abc,a'b'c'),
and: P ∧ Q,
cand: A c∧ B,
geo-congruent: ab ≅ cd,
not: ¬A,
implies: P ⇒ Q,
false: False,
prop: ℙ,
subtype_rel: A ⊆r B,
guard: {T}
Latex:
\mforall{}[e:BasicGeometry]. \mforall{}[a,b,c,a',b',c':Point]. Cong3(bca,b'c'a') supposing Cong3(abc,a'b'c')
Date html generated:
2020_05_20-AM-09_54_23
Last ObjectModification:
2020_01_14-AM-09_54_21
Theory : euclidean!plane!geometry
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