Nuprl Lemma : eo-restrict_wf
∀[es:EO]. ∀[P:E ⟶ 𝔹].  (eo-restrict(es;P) ∈ EO)
Proof
Definitions occuring in Statement : 
eo-restrict: eo-restrict(eo;P)
, 
es-E: E
, 
event_ordering: EO
, 
bool: 𝔹
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
function: x:A ⟶ B[x]
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
eo-restrict: eo-restrict(eo;P)
, 
eo-reset-dom: eo-reset-dom(es;d)
, 
es-dom: es-dom(es)
, 
es-E: E
, 
es-base-E: es-base-E(es)
, 
all: ∀x:A. B[x]
, 
implies: P 
⇒ Q
, 
bool: 𝔹
, 
unit: Unit
, 
it: ⋅
, 
btrue: tt
, 
band: p ∧b q
, 
ifthenelse: if b then t else f fi 
, 
uiff: uiff(P;Q)
, 
and: P ∧ Q
, 
uimplies: b supposing a
, 
prop: ℙ
, 
bfalse: ff
Latex:
\mforall{}[es:EO].  \mforall{}[P:E  {}\mrightarrow{}  \mBbbB{}].    (eo-restrict(es;P)  \mmember{}  EO)
Date html generated:
2016_05_16-AM-09_14_05
Last ObjectModification:
2015_12_28-PM-09_58_41
Theory : new!event-ordering
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