Nuprl Lemma : rv-pos-angle_wf
∀[n:ℕ]. ∀[a,b,c:ℝ^n]. (rv-pos-angle(n;a;b;c) ∈ ℙ)
Proof
Definitions occuring in Statement :
rv-pos-angle: rv-pos-angle(n;a;b;c),
real-vec: ℝ^n,
nat: ℕ,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
rv-pos-angle: rv-pos-angle(n;a;b;c)
Lemmas referenced :
rless_wf,
rabs_wf,
dot-product_wf,
real-vec-sub_wf,
rmul_wf,
real-vec-norm_wf,
real-vec_wf,
nat_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[n:\mBbbN{}]. \mforall{}[a,b,c:\mBbbR{}\^{}n]. (rv-pos-angle(n;a;b;c) \mmember{} \mBbbP{})
Date html generated:
2017_10_03-AM-10_54_21
Last ObjectModification:
2017_03_01-PM-04_39_35
Theory : reals
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