Nuprl Lemma : archive-condition-nil
∀[V:Type]. ∀A:Id List. ∀t:ℕ. ∀f:(V List) ─→ V. ∀n:ℤ. ∀v:V. (archive-condition(V;A;t;f;n;v;[]) ⇐⇒ False)
Proof
Definitions occuring in Statement :
archive-condition: archive-condition(V;A;t;f;n;v;L),
Id: Id,
nil: [],
list: T List,
nat: ℕ,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
false: False,
function: x:A ─→ B[x],
int: ℤ,
universe: Type
Lemmas :
archive-condition_wf,
nil_wf,
consensus-rcv_wf,
false_wf,
list_wf,
nat_wf,
Id_wf,
list-cases,
filter_nil_lemma,
null_nil_lemma,
list_ind_nil_lemma,
product_subtype_list,
list_ind_cons_lemma,
not_wf,
less_than_wf,
filter_cons_lemma
\mforall{}[V:Type]
\mforall{}A:Id List. \mforall{}t:\mBbbN{}. \mforall{}f:(V List) {}\mrightarrow{} V. \mforall{}n:\mBbbZ{}. \mforall{}v:V. (archive-condition(V;A;t;f;n;v;[]) \mLeftarrow{}{}\mRightarrow{} False)
Date html generated:
2015_07_17-AM-11_48_42
Last ObjectModification:
2015_01_28-AM-00_44_54
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