Nuprl Lemma : sq_stable__geo-triangle
∀e:EuclideanPlaneStructure. ∀a,b,c:Point. SqStable(a # bc)
Proof
Definitions occuring in Statement :
geo-triangle: a # bc,
euclidean-plane-structure: EuclideanPlaneStructure,
geo-point: Point,
sq_stable: SqStable(P),
all: ∀x:A. B[x]
Definitions unfolded in proof :
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
member: t ∈ T,
all: ∀x:A. B[x],
geo-triangle: a # bc
Lemmas referenced :
euclidean-plane-structure_wf,
euclidean-plane-structure-subtype,
geo-point_wf,
sq_stable__geo-lsep
Rules used in proof :
because_Cache,
applyEquality,
isectElimination,
hypothesis,
hypothesisEquality,
thin,
dependent_functionElimination,
sqequalHypSubstitution,
extract_by_obid,
introduction,
cut,
lambdaFormation,
computationStep,
sqequalTransitivity,
sqequalReflexivity,
sqequalRule,
sqequalSubstitution
Latex:
\mforall{}e:EuclideanPlaneStructure. \mforall{}a,b,c:Point. SqStable(a \# bc)
Date html generated:
2017_10_02-PM-07_00_50
Last ObjectModification:
2017_08_06-PM-09_37_23
Theory : euclidean!plane!geometry
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