Nuprl Lemma : bag-union-single
∀x:Top List. (bag-union({x}) ~ x)
Proof
Definitions occuring in Statement :
bag-union: bag-union(bbs),
single-bag: {x},
list: T List,
top: Top,
all: ∀x:A. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
single-bag: {x},
bag-union: bag-union(bbs),
concat: concat(ll),
all: ∀x:A. B[x],
member: t ∈ T,
top: Top,
uall: ∀[x:A]. B[x]
Lemmas referenced :
reduce_cons_lemma,
reduce_nil_lemma,
append_back_nil,
top_wf,
list_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
cut,
lemma_by_obid,
sqequalHypSubstitution,
dependent_functionElimination,
thin,
isect_memberEquality,
voidElimination,
voidEquality,
hypothesis,
lambdaFormation,
isectElimination,
hypothesisEquality
Latex:
\mforall{}x:Top List. (bag-union(\{x\}) \msim{} x)
Date html generated:
2016_05_15-PM-02_27_21
Last ObjectModification:
2015_12_27-AM-09_51_18
Theory : bags
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