Nuprl Lemma : nameset_sq
∀[L:Cname List]. SQType(nameset(L))
Proof
Definitions occuring in Statement :
nameset: nameset(L),
coordinate_name: Cname,
list: T List,
sq_type: SQType(T),
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
sq_type: SQType(T),
all: ∀x:A. B[x],
implies: P ⇒ Q,
guard: {T},
prop: ℙ
Lemmas referenced :
subtype_base_sq,
nameset_wf,
nameset_subtype_base,
equal_wf,
list_wf,
coordinate_name_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
thin,
instantiate,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
cumulativity,
hypothesisEquality,
hypothesis,
independent_isectElimination,
sqequalRule,
lambdaEquality,
dependent_functionElimination,
sqequalAxiom
Latex:
\mforall{}[L:Cname List]. SQType(nameset(L))
Date html generated:
2017_10_05-AM-10_04_51
Last ObjectModification:
2017_07_28-AM-11_15_51
Theory : cubical!sets
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