Nuprl Lemma : real-cube-complex_wf
∀[k:ℕ]. (RealCubeComplex(k) ∈ 𝕌')
Proof
Definitions occuring in Statement :
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,
real-cube-complex: RealCubeComplex(k),
prop: ℙ,
all: ∀x:A. B[x],
implies: P ⇒ Q,
or: P ∨ Q
Lemmas referenced :
finite_wf,
real-cube_wf,
not_wf,
equal_wf,
adjacent-cubes_wf,
real-cube-sep_wf,
istype-nat
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
productEquality,
universeEquality,
cumulativity,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
functionEquality,
unionEquality,
applyEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[k:\mBbbN{}]. (RealCubeComplex(k) \mmember{} \mBbbU{}')
Date html generated:
2019_10_30-AM-11_31_43
Last ObjectModification:
2019_09_30-AM-11_19_24
Theory : real!vectors
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