Nuprl Lemma : rec-combined-class-opt-1_wf
∀[Info,A,B:Type]. ∀[F:bag(A) ─→ bag(B) ─→ bag(B)]. ∀[X:EClass(A)]. ∀[init:Id ─→ bag(B)].
(F|X,Prior(self)?init| ∈ EClass(B))
Proof
Definitions occuring in Statement :
rec-combined-class-opt-1: F|X,Prior(self)?init|,
eclass: EClass(A[eo; e]),
Id: Id,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type,
bag: bag(T)
Lemmas :
rec-comb_wf,
false_wf,
le_wf,
int_seg_wf,
select_wf,
cons_wf,
nil_wf,
length_wf,
length_nil,
non_neg_length,
length_wf_nil,
length_cons,
length_wf_nat,
bag_wf,
Id_wf,
eclass_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[F:bag(A) {}\mrightarrow{} bag(B) {}\mrightarrow{} bag(B)]. \mforall{}[X:EClass(A)]. \mforall{}[init:Id {}\mrightarrow{} bag(B)].
(F|X,Prior(self)?init| \mmember{} EClass(B))
Date html generated:
2015_07_21-PM-02_53_51
Last ObjectModification:
2015_01_27-PM-07_30_26
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