Nuprl Lemma : sq_stable__colinear
∀e:EuclideanStructure. ∀[a,b,c:Point]. SqStable(Colinear(a;b;c))
Proof
Definitions occuring in Statement :
eu-colinear: Colinear(a;b;c),
eu-point: Point,
euclidean-structure: EuclideanStructure,
sq_stable: SqStable(P),
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,
implies: P ⇒ Q
Lemmas referenced :
sq_stable__from_stable,
eu-colinear_wf,
stable__colinear,
eu-point_wf,
euclidean-structure_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
isect_memberFormation,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
independent_functionElimination,
dependent_functionElimination
Latex:
\mforall{}e:EuclideanStructure. \mforall{}[a,b,c:Point]. SqStable(Colinear(a;b;c))
Date html generated:
2016_05_18-AM-06_32_47
Last ObjectModification:
2015_12_28-AM-09_28_11
Theory : euclidean!geometry
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