Nuprl Lemma : eu-bisect-angle_wf
∀e:EuclideanPlane. ∀a,b,c:Point. (eu-bisect-angle(e;a;b;c) ∈ ℙ)
Proof
Definitions occuring in Statement :
eu-bisect-angle: eu-bisect-angle(e;a;b;c),
euclidean-plane: EuclideanPlane,
eu-point: Point,
prop: ℙ,
all: ∀x:A. B[x],
member: t ∈ T
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
eu-bisect-angle: eu-bisect-angle(e;a;b;c),
prop: ℙ,
and: P ∧ Q,
uall: ∀[x:A]. B[x],
euclidean-plane: EuclideanPlane,
so_lambda: λ2x.t[x],
so_apply: x[s],
exists: ∃x:A. B[x]
Lemmas referenced :
euclidean-plane_wf,
Error :eu-cong-angle_wf,
exists_wf,
eu-point_wf,
equal_wf,
not_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
sqequalRule,
productEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
setElimination,
rename,
because_Cache,
hypothesis,
hypothesisEquality,
lambdaEquality
Latex:
\mforall{}e:EuclideanPlane. \mforall{}a,b,c:Point. (eu-bisect-angle(e;a;b;c) \mmember{} \mBbbP{})
Date html generated:
2016_06_16-PM-01_31_42
Last ObjectModification:
2016_06_09-AM-09_02_05
Theory : euclidean!geometry
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