Nuprl Lemma : sv-bag-only-single
∀[x:Top]. (sv-bag-only({x}) ~ x)
Proof
Definitions occuring in Statement :
sv-bag-only: sv-bag-only(b),
single-bag: {x},
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
single-bag: {x},
sv-bag-only: sv-bag-only(b),
all: ∀x:A. B[x],
top: Top
Lemmas referenced :
reduce_hd_cons_lemma,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
dependent_functionElimination,
thin,
isect_memberEquality,
voidElimination,
voidEquality,
hypothesis,
sqequalAxiom
Latex:
\mforall{}[x:Top]. (sv-bag-only(\{x\}) \msim{} x)
Date html generated:
2016_05_15-PM-02_43_26
Last ObjectModification:
2015_12_27-AM-09_38_46
Theory : bags
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