Nuprl Lemma : nameset-value-type
∀[L:Cname List]. value-type(nameset(L))
Proof
Definitions occuring in Statement :
nameset: nameset(L),
coordinate_name: Cname,
list: T List,
value-type: value-type(T),
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
nameset: nameset(L),
so_lambda: λ2x.t[x],
so_apply: x[s],
uimplies: b supposing a,
value-type: value-type(T),
has-value: (a)↓,
prop: ℙ
Lemmas referenced :
set-value-type,
coordinate_name_wf,
l_member_wf,
coordinate_name-value-type,
equal-wf-base,
nameset_wf,
base_wf,
list_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesis,
lambdaEquality,
hypothesisEquality,
independent_isectElimination,
isect_memberEquality,
axiomSqleEquality,
because_Cache,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[L:Cname List]. value-type(nameset(L))
Date html generated:
2016_05_20-AM-09_28_12
Last ObjectModification:
2015_12_28-PM-04_48_25
Theory : cubical!sets
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