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
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
select-tagged-indices: select-tagged-indices(P;tg;L),
nat: ℕ,
le: A ≤ B,
and: P ∧ Q,
less_than': less_than'(a;b),
false: False,
not: ¬A,
implies: P ⇒ Q,
prop: ℙ
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:
2016_05_17-AM-11_31_23
Last ObjectModification:
2015_12_29-PM-06_50_10
Theory : event-logic-applications
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