Nuprl Lemma : eclass0-single-val
∀[Info,B,C:Type]. ∀[X:EClass(B)]. ∀[f:Id ─→ B ─→ bag(C)]. ∀[es:EO+(Info)].
(single-valued-classrel(es;(f o X);C)) supposing
(single-valued-classrel(es;X;B) and
(∀i:Id. ∀b:B. single-valued-bag(f i b;C)))
Proof
Definitions occuring in Statement :
eclass0: (f o X),
single-valued-classrel: single-valued-classrel(es;X;T),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
apply: f a,
function: x:A ─→ B[x],
universe: Type,
single-valued-bag: single-valued-bag(b;T),
bag: bag(T)
Lemmas :
classrel_wf,
eclass0_wf,
es-E_wf,
event-ordering+_subtype,
single-valued-classrel_wf,
all_wf,
Id_wf,
single-valued-bag_wf,
event-ordering+_wf,
bag_wf,
eclass_wf,
eclass0-classrel,
es-loc_wf,
and_wf,
equal_wf,
bag-member_wf
\mforall{}[Info,B,C:Type]. \mforall{}[X:EClass(B)]. \mforall{}[f:Id {}\mrightarrow{} B {}\mrightarrow{} bag(C)]. \mforall{}[es:EO+(Info)].
(single-valued-classrel(es;(f o X);C)) supposing
(single-valued-classrel(es;X;B) and
(\mforall{}i:Id. \mforall{}b:B. single-valued-bag(f i b;C)))
Date html generated:
2015_07_17-PM-00_35_39
Last ObjectModification:
2015_01_27-PM-11_29_46
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