Nuprl Lemma : stable__right-angle
∀e:BasicGeometry. ∀a,b,c:Point. Stable{Rabc}
Proof
Definitions occuring in Statement :
right-angle: Rabc,
basic-geometry: BasicGeometry,
geo-point: Point,
stable: Stable{P},
all: ∀x:A. B[x]
Definitions unfolded in proof :
uimplies: b supposing a,
guard: {T},
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
member: t ∈ T,
all: ∀x:A. B[x],
right-angle: Rabc,
so_apply: x[s],
prop: ℙ,
so_lambda: λ2x.t[x],
false: False,
implies: P ⇒ Q,
not: ¬A,
stable: Stable{P},
basic-geometry: BasicGeometry
Lemmas referenced :
Error :basic-geo-primitives_wf,
Error :basic-geo-structure_wf,
basic-geometry_wf,
subtype_rel_transitivity,
basic-geometry-subtype,
geo-point_wf,
geo-congruent_wf,
geo-midpoint_wf,
all_wf,
not_wf,
stable__geo-congruent
Rules used in proof :
because_Cache,
independent_isectElimination,
instantiate,
hypothesis,
applyEquality,
hypothesisEquality,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
introduction,
cut,
lambdaFormation,
computationStep,
sqequalTransitivity,
sqequalReflexivity,
sqequalRule,
sqequalSubstitution,
rename,
functionEquality,
voidElimination,
dependent_functionElimination,
lambdaEquality,
isect_memberFormation,
independent_functionElimination,
setElimination
Latex:
\mforall{}e:BasicGeometry. \mforall{}a,b,c:Point. Stable\{Rabc\}
Date html generated:
2017_10_02-PM-06_40_36
Last ObjectModification:
2017_08_05-PM-04_47_11
Theory : euclidean!plane!geometry
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