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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