Nuprl Lemma : cube-complex-space_wf
∀[k:ℕ]. ∀[cc:RealCubeComplex(k)]. (|cc| ∈ Type)
Proof
Definitions occuring in Statement :
cube-complex-space: |cc|,
real-cube-complex: RealCubeComplex(k),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
cube-complex-space: |cc|,
prop: ℙ
Lemmas referenced :
real-vec_wf,
in-cube-complex_wf,
real-cube-complex_wf,
istype-nat
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
setEquality,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeIsType,
isect_memberEquality_alt,
isectIsTypeImplies,
inhabitedIsType
Latex:
\mforall{}[k:\mBbbN{}]. \mforall{}[cc:RealCubeComplex(k)]. (|cc| \mmember{} Type)
Date html generated:
2019_10_30-AM-11_31_55
Last ObjectModification:
2019_09_30-AM-11_25_12
Theory : real!vectors
Home
Index