Nuprl Lemma : acute-angle_wf
∀[e:GeometryPrimitives]. ∀[a,b,c:Point]. (Acute(a;b;c) ∈ ℙ)
Proof
Definitions occuring in Statement :
acute-angle: Acute(a;b;c),
geo-primitives: GeometryPrimitives,
geo-point: Point,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
acute-angle: Acute(a;b;c),
so_lambda: λ2x.t[x],
implies: P ⇒ Q,
prop: ℙ,
so_apply: x[s]
Lemmas referenced :
all_wf,
geo-point_wf,
geo-midpoint_wf,
geo-gt_wf,
geo-primitives_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
lambdaEquality,
functionEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[e:GeometryPrimitives]. \mforall{}[a,b,c:Point]. (Acute(a;b;c) \mmember{} \mBbbP{})
Date html generated:
2018_05_22-AM-11_52_18
Last ObjectModification:
2018_03_28-PM-02_37_42
Theory : euclidean!plane!geometry
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