Nuprl Lemma : single-bag_wf
∀T:Type. ∀x:T.  ({x} ∈ bag(T))
Proof
Definitions occuring in Statement : 
single-bag: {x}
, 
bag: bag(T)
, 
all: ∀x:A. B[x]
, 
member: t ∈ T
, 
universe: Type
Definitions unfolded in proof : 
all: ∀x:A. B[x]
, 
member: t ∈ T
, 
single-bag: {x}
, 
uall: ∀[x:A]. B[x]
, 
subtype_rel: A ⊆r B
, 
uimplies: b supposing a
Lemmas referenced : 
cons_wf, 
nil_wf, 
list-subtype-bag
Rules used in proof : 
sqequalSubstitution, 
sqequalTransitivity, 
computationStep, 
sqequalReflexivity, 
lambdaFormation, 
cut, 
sqequalRule, 
lemma_by_obid, 
sqequalHypSubstitution, 
isectElimination, 
thin, 
cumulativity, 
hypothesisEquality, 
because_Cache, 
hypothesis, 
applyEquality, 
independent_isectElimination, 
lambdaEquality, 
universeEquality
Latex:
\mforall{}T:Type.  \mforall{}x:T.    (\{x\}  \mmember{}  bag(T))
Date html generated:
2016_05_15-PM-02_21_48
Last ObjectModification:
2015_12_27-AM-09_55_19
Theory : bags
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