Nuprl Lemma : simple-loc-comb-2-concat-loc-bounded3
∀[Info,A,B,C:Type]. ∀[f:Id ─→ A ─→ B ─→ bag(C)]. ∀[X:EClass(A)]. ∀[Y:EClass(B)].
(LocBounded(B;Y)
⇒ LocBounded(C;f@Loc o (Loc,X, Y)))
Proof
Definitions occuring in Statement :
concat-lifting-loc-2: f@Loc
,
simple-loc-comb-2: F o (Loc,X, Y)
,
loc-bounded-class: LocBounded(T;X)
,
eclass: EClass(A[eo; e])
,
Id: Id
,
uall: ∀[x:A]. B[x]
,
implies: P
⇒ Q
,
function: x:A ─→ B[x]
,
universe: Type
,
bag: bag(T)
Lemmas :
simple-loc-comb-2-concat-classrel,
sq_stable__bag-member,
es-loc_wf,
classrel_wf,
simple-loc-comb-2_wf,
concat-lifting-loc-2_wf,
es-E_wf,
event-ordering+_subtype,
all_wf,
bag-member_wf,
loc-bounded-class_wf,
eclass_wf,
event-ordering+_wf,
Id_wf,
bag_wf
Latex:
\mforall{}[Info,A,B,C:Type]. \mforall{}[f:Id {}\mrightarrow{} A {}\mrightarrow{} B {}\mrightarrow{} bag(C)]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)].
(LocBounded(B;Y) {}\mRightarrow{} LocBounded(C;f@Loc o (Loc,X, Y)))
Date html generated:
2015_07_22-PM-00_11_08
Last ObjectModification:
2015_01_28-AM-11_40_43
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