Nuprl Lemma : rv-minus_wf
∀[rv:RealVectorSpace]. ∀[x:Point]. (-x ∈ Point)
Proof
Definitions occuring in Statement :
rv-minus: -x,
real-vector-space: RealVectorSpace,
ss-point: Point,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
subtype_rel: A ⊆r B,
rv-minus: -x,
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
real-vector-space_wf,
real-vector-space_subtype1,
ss-point_wf,
int-to-real_wf,
rv-mul_wf
Rules used in proof :
because_Cache,
isect_memberEquality,
applyEquality,
equalitySymmetry,
equalityTransitivity,
axiomEquality,
hypothesis,
natural_numberEquality,
minusEquality,
hypothesisEquality,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
sqequalRule,
cut,
introduction,
isect_memberFormation,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
\mforall{}[rv:RealVectorSpace]. \mforall{}[x:Point]. (-x \mmember{} Point)
Date html generated:
2016_11_08-AM-09_14_09
Last ObjectModification:
2016_10_31-PM-01_31_26
Theory : inner!product!spaces
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