Nuprl Lemma : nary-rel_wf
∀[T:Type]. ∀[n:ℕ]. (n-aryRel(T) ∈ 𝕌')
Proof
Definitions occuring in Statement :
nary-rel: n-aryRel(T),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
nary-rel: n-aryRel(T),
nat: ℕ,
prop: ℙ
Lemmas referenced :
int_seg_wf,
nat_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
functionEquality,
cumulativity,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
natural_numberEquality,
setElimination,
rename,
hypothesisEquality,
hypothesis,
universeEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[T:Type]. \mforall{}[n:\mBbbN{}]. (n-aryRel(T) \mmember{} \mBbbU{}')
Date html generated:
2016_05_14-PM-04_07_17
Last ObjectModification:
2015_12_26-PM-07_55_08
Theory : fan-theorem
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