Nuprl Lemma : rational-cube_wf
∀[k:ℕ]. (ℚCube(k) ∈ Type)
Proof
Definitions occuring in Statement :
rational-cube: ℚCube(k),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
nat: ℕ,
rational-cube: ℚCube(k),
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
istype-nat,
rational-interval_wf,
int_seg_wf
Rules used in proof :
equalitySymmetry,
equalityTransitivity,
axiomEquality,
hypothesis,
hypothesisEquality,
rename,
setElimination,
natural_numberEquality,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
functionEquality,
sqequalRule,
cut,
introduction,
isect_memberFormation_alt,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
\mforall{}[k:\mBbbN{}]. (\mBbbQ{}Cube(k) \mmember{} Type)
Date html generated:
2019_10_29-AM-07_48_44
Last ObjectModification:
2019_10_17-AM-11_18_50
Theory : rationals
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