Nuprl Lemma : geo-line-eq_wf
∀[g:GeometryPrimitives]. ∀[l,m:Line]. (l ≡ m ∈ ℙ)
Proof
Definitions occuring in Statement :
geo-line-eq: l ≡ m,
geo-line: Line,
geo-primitives: GeometryPrimitives,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
all: ∀x:A. B[x],
geo-line-eq: l ≡ m,
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
geo-primitives_wf,
geo-line_wf,
geo-line-sep_wf,
not_wf
Rules used in proof :
because_Cache,
isect_memberEquality,
dependent_functionElimination,
equalitySymmetry,
equalityTransitivity,
axiomEquality,
hypothesis,
hypothesisEquality,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
sqequalRule,
cut,
introduction,
isect_memberFormation,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
\mforall{}[g:GeometryPrimitives]. \mforall{}[l,m:Line]. (l \mequiv{} m \mmember{} \mBbbP{})
Date html generated:
2018_05_22-PM-01_00_37
Last ObjectModification:
2018_05_21-AM-01_32_57
Theory : euclidean!plane!geometry
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