Nuprl Lemma : base-classrel-equal
∀[T:Type]. ∀[f:Name ─→ Type]. ∀[es:EO+(Message(f))]. ∀[e:E]. ∀[v:T]. ∀[hdr:Name].
uiff(v ∈ Base(hdr)(e);(header(e) = hdr ∈ Name) ∧ v = body(e)) supposing hdr encodes T
Proof
Definitions occuring in Statement :
base-headers-msg-val: Base(hdr),
encodes-msg-type: hdr encodes T,
equal-info-body: v = body(e),
es-header: header(e),
Message: Message(f),
classrel: v ∈ X(e),
event-ordering+: EO+(Info),
es-E: E,
name: Name,
uiff: uiff(P;Q),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
and: P ∧ Q,
function: x:A ─→ B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
base-noloc-classrel,
classrel_wf,
Message_wf,
base-headers-msg-val_wf,
name_wf,
es-header_wf,
equal-info-body_wf,
encodes-msg-type_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf
Latex:
\mforall{}[T:Type]. \mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[e:E]. \mforall{}[v:T]. \mforall{}[hdr:Name].
uiff(v \mmember{} Base(hdr)(e);(header(e) = hdr) \mwedge{} v = body(e)) supposing hdr encodes T
Date html generated:
2015_07_22-PM-00_06_14
Last ObjectModification:
2015_01_28-AM-11_42_57
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