Nuprl Lemma : bag-map-single
∀[x,f:Top].  (bag-map(f;{x}) ~ {f x})
Proof
Definitions occuring in Statement : 
bag-map: bag-map(f;bs)
, 
single-bag: {x}
, 
uall: ∀[x:A]. B[x]
, 
top: Top
, 
apply: f a
, 
sqequal: s ~ t
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
all: ∀x:A. B[x]
Lemmas referenced : 
bag_map_single_lemma, 
top_wf
Rules used in proof : 
sqequalSubstitution, 
sqequalTransitivity, 
computationStep, 
sqequalReflexivity, 
isect_memberFormation, 
introduction, 
cut, 
lemma_by_obid, 
sqequalHypSubstitution, 
dependent_functionElimination, 
thin, 
hypothesisEquality, 
hypothesis, 
sqequalAxiom, 
sqequalRule, 
isect_memberEquality, 
isectElimination, 
because_Cache
Latex:
\mforall{}[x,f:Top].    (bag-map(f;\{x\})  \msim{}  \{f  x\})
Date html generated:
2016_05_15-PM-02_25_43
Last ObjectModification:
2015_12_27-AM-09_52_45
Theory : bags
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