Nuprl Lemma : geo-gt-implies-ge
∀[g:EuclideanPlane]. ∀[c,d,a,b:Point]. cd ≥ ab supposing cd>ab
Proof
Definitions occuring in Statement :
euclidean-plane: EuclideanPlane,
geo-ge: ab ≥ cd,
geo-gt-prim: ab>cd,
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-ge: ab ≥ cd,
not: ¬A,
implies: P ⇒ Q,
all: ∀x:A. B[x],
euclidean-plane: EuclideanPlane,
sq_stable: SqStable(P),
squash: ↓T,
false: False,
subtype_rel: A ⊆r B,
prop: ℙ,
guard: {T}
Latex:
\mforall{}[g:EuclideanPlane]. \mforall{}[c,d,a,b:Point]. cd \mgeq{} ab supposing cd>ab
Date html generated:
2020_05_20-AM-09_45_42
Last ObjectModification:
2020_01_27-AM-10_59_41
Theory : euclidean!plane!geometry
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