Nuprl Lemma : geo_ge_wf
∀[e:BasicGeometry]. ∀[p,q:Length]. (geo_ge(e; p; q) ∈ ℙ)
Proof
Definitions occuring in Statement :
geo_ge: geo_ge(e; p; q),
geo-length-type: Length,
basic-geometry: BasicGeometry,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
geo_ge: geo_ge(e; p; q),
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
basic-geometry_wf,
geo-length-type_wf,
geo-le_wf
Rules used in proof :
because_Cache,
isect_memberEquality,
equalitySymmetry,
equalityTransitivity,
axiomEquality,
hypothesis,
hypothesisEquality,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
sqequalRule,
cut,
introduction,
isect_memberFormation,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
\mforall{}[e:BasicGeometry]. \mforall{}[p,q:Length]. (geo\_ge(e; p; q) \mmember{} \mBbbP{})
Date html generated:
2017_10_02-PM-04_52_17
Last ObjectModification:
2017_08_05-AM-09_10_07
Theory : euclidean!plane!geometry
Home
Index