Nuprl Lemma : nameset_subtype_base
∀[L:Cname List]. (nameset(L) ⊆r Base)
Proof
Definitions occuring in Statement :
nameset: nameset(L),
coordinate_name: Cname,
list: T List,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
base: Base
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,
coordinate_name: Cname,
int_upper: {i...},
subtype_rel: A ⊆r B
Lemmas referenced :
set_subtype_base,
coordinate_name_wf,
l_member_wf,
le_wf,
int_subtype_base,
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,
intEquality,
natural_numberEquality,
axiomEquality
Latex:
\mforall{}[L:Cname List]. (nameset(L) \msubseteq{}r Base)
Date html generated:
2016_05_20-AM-09_28_17
Last ObjectModification:
2015_12_28-PM-04_48_22
Theory : cubical!sets
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