Nuprl Lemma : decidable__exists-single-valued-bag
∀[T:Type]. ∀b:bag(T). (single-valued-bag(b;T) ⇒ Dec(∃v:T. v ↓∈ b))
Proof
Definitions occuring in Statement :
decidable: Dec(P),
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
exists: ∃x:A. B[x],
implies: P ⇒ Q,
universe: Type,
single-valued-bag: single-valued-bag(b;T),
bag-member: x ↓∈ bs,
bag: bag(T)
Lemmas :
decidable__lt,
bag-size_wf,
nat_wf,
not_wf,
exists_wf,
bag-member_wf,
single-valued-bag_wf,
bag_wf,
sv-bag-only_wf,
sq_stable__bag-member,
bag-member-sv-bag-only,
bag-member-size
\mforall{}[T:Type]. \mforall{}b:bag(T). (single-valued-bag(b;T) {}\mRightarrow{} Dec(\mexists{}v:T. v \mdownarrow{}\mmember{} b))
Date html generated:
2015_07_17-PM-00_22_19
Last ObjectModification:
2015_01_27-PM-11_38_13
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