Nuprl Lemma : ss-eq_wf
∀[ss:SeparationSpace]. ∀[x,y:Point]. (x ≡ y ∈ ℙ)
Proof
Definitions occuring in Statement :
ss-eq: x ≡ y,
ss-point: Point,
separation-space: SeparationSpace,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
ss-eq: x ≡ y,
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
separation-space_wf,
ss-point_wf,
ss-sep_wf,
not_wf
Rules used in proof :
because_Cache,
isect_memberEquality,
equalitySymmetry,
equalityTransitivity,
axiomEquality,
hypothesis,
hypothesisEquality,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
sqequalRule,
cut,
introduction,
isect_memberFormation,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
\mforall{}[ss:SeparationSpace]. \mforall{}[x,y:Point]. (x \mequiv{} y \mmember{} \mBbbP{})
Date html generated:
2016_11_08-AM-09_10_58
Last ObjectModification:
2016_10_31-AM-11_06_42
Theory : inner!product!spaces
Home
Index