Nuprl Lemma : op-geo-left-axioms
∀g:OrientedPlane. geo-left-axioms(g)
Proof
Definitions occuring in Statement :
oriented-plane: OrientedPlane,
geo-left-axioms: geo-left-axioms(g),
all: ∀x:A. B[x]
Definitions unfolded in proof :
all: ∀x:A. B[x],
oriented-plane: OrientedPlane,
member: t ∈ T,
euclidean-plane: EuclideanPlane,
implies: P ⇒ Q,
sq_stable: SqStable(P),
squash: ↓T,
not: ¬A,
false: False,
uall: ∀[x:A]. B[x],
subtype_rel: A ⊆r B,
prop: ℙ,
geo-colinear: Colinear(a;b;c),
guard: {T},
and: P ∧ Q,
cand: A c∧ B,
basic-geo-axioms: BasicGeometryAxioms(g),
geo-left-axioms: geo-left-axioms(g),
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q
Latex:
\mforall{}g:OrientedPlane. geo-left-axioms(g)
Date html generated:
2020_05_20-AM-09_49_59
Last ObjectModification:
2020_01_27-PM-07_08_42
Theory : euclidean!plane!geometry
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