Nuprl Lemma : geo-between-inner-trans
∀e:EuclideanPlane. ∀[a,b,c,d:Point]. (B(abc)) supposing (B(bcd) and B(abd))
Proof
Definitions occuring in Statement :
euclidean-plane: EuclideanPlane,
geo-between: B(abc),
geo-point: Point,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x]
Definitions unfolded in proof :
all: ∀x:A. B[x],
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
euclidean-plane: EuclideanPlane,
subtype_rel: A ⊆r B,
implies: P ⇒ Q,
sq_stable: SqStable(P),
squash: ↓T,
and: P ∧ Q,
prop: ℙ,
geo-between: B(abc),
not: ¬A,
false: False,
guard: {T},
basic-geo-axioms: BasicGeometryAxioms(g)
Latex:
\mforall{}e:EuclideanPlane. \mforall{}[a,b,c,d:Point]. (B(abc)) supposing (B(bcd) and B(abd))
Date html generated:
2020_05_20-AM-09_47_50
Last ObjectModification:
2019_11_13-PM-03_28_03
Theory : euclidean!plane!geometry
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