Nuprl Lemma : select-tagged-indices_wf
∀[A,B:Type]. ∀[tg:A ─→ B]. ∀[P:A ─→ 𝔹]. ∀[L:A List]. (select-tagged-indices(P;tg;L) ∈ (ℕ × B) List)
Proof
Definitions occuring in Statement :
select-tagged-indices: select-tagged-indices(P;tg;L),
list: T List,
nat: ℕ,
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
universe: Type
Lemmas :
select-tagged-indices-aux_wf,
false_wf,
le_wf,
list_wf,
bool_wf
Latex:
\mforall{}[A,B:Type]. \mforall{}[tg:A {}\mrightarrow{} B]. \mforall{}[P:A {}\mrightarrow{} \mBbbB{}]. \mforall{}[L:A List]. (select-tagged-indices(P;tg;L) \mmember{} (\mBbbN{} \mtimes{} B) List)
Date html generated:
2015_07_23-AM-11_57_45
Last ObjectModification:
2015_01_29-AM-07_39_46
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