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
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
uiff: uiff(P;Q),
and: P ∧ Q,
true: True,
prop: ℙ,
subtype_rel: A ⊆r B,
has-es-info-type: has-es-info-type(es;e;f;T),
equal-info-body: v = body(e)
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:
2016_05_17-AM-08_51_40
Last ObjectModification:
2015_12_29-PM-02_56_11
Theory : messages
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