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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