Nuprl Lemma : cube-lower_wf
∀[k:ℕ]. ∀[c:real-cube(k)]. (c- ∈ ℝ^k)
Proof
Definitions occuring in Statement :
cube-lower: c-,
real-cube: real-cube(k),
real-vec: ℝ^n,
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
cube-lower: c-,
real-cube: real-cube(k),
top: Top
Lemmas referenced :
pi1_wf_top,
real-vec_wf,
istype-void,
real-cube_wf,
istype-nat
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
productElimination,
independent_pairEquality,
isect_memberEquality_alt,
voidElimination,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeIsType,
isectIsTypeImplies,
inhabitedIsType
Latex:
\mforall{}[k:\mBbbN{}]. \mforall{}[c:real-cube(k)]. (c- \mmember{} \mBbbR{}\^{}k)
Date html generated:
2019_10_30-AM-11_31_14
Last ObjectModification:
2019_09_27-PM-01_25_10
Theory : real!vectors
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