Nuprl Lemma : basic-formal-sum_wf
∀[K:RngSig]. ∀[S:Type]. (basic-formal-sum(K;S) ∈ Type)
Proof
Definitions occuring in Statement :
basic-formal-sum: basic-formal-sum(K;S),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type,
rng_sig: RngSig
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
basic-formal-sum: basic-formal-sum(K;S)
Lemmas referenced :
bag_wf,
rng_car_wf,
rng_sig_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
productEquality,
hypothesisEquality,
hypothesis,
cumulativity,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeEquality,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[K:RngSig]. \mforall{}[S:Type]. (basic-formal-sum(K;S) \mmember{} Type)
Date html generated:
2018_05_22-PM-09_44_25
Last ObjectModification:
2017_11_10-PM-05_38_41
Theory : linear!algebra
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