Nuprl Lemma : trivial-equal-info-body
∀[f:Name ─→ Type]. ∀[es:EO+(Message(f))]. ∀[e:E]. ∀[T:Type].
uiff(msgval(e) = body(e);True) supposing has-es-info-type(es;e;f;T)
Proof
Definitions occuring in Statement :
equal-info-body: v = body(e),
es-info-body: msgval(e),
has-es-info-type: has-es-info-type(es;e;f;T),
Message: Message(f),
event-ordering+: EO+(Info),
es-E: E,
name: Name,
uiff: uiff(P;Q),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
true: True,
function: x:A ─→ B[x],
universe: Type
Lemmas :
equal-info-body_wf,
es-info-body_wf,
true_wf,
has-es-info-type_wf,
es-E_wf,
event-ordering+_subtype,
Message_wf,
event-ordering+_wf,
name_wf
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[e:E]. \mforall{}[T:Type].
uiff(msgval(e) = body(e);True) supposing has-es-info-type(es;e;f;T)
Date html generated:
2015_07_21-PM-04_48_57
Last ObjectModification:
2015_01_28-AM-08_45_52
Home
Index