Nuprl Lemma : eo-forward-base-classfun-sq
∀[f:Name ─→ Type]. ∀[es:EO+(Message(f))]. ∀[e:E]. ∀[e':E]. ∀[hdr:Name]. ∀[T:Type].
(Base(hdr)(e') ~ Base(hdr)(e')) supposing ((header(e') = hdr ∈ Name) and hdr encodes T)
Proof
Definitions occuring in Statement :
base-headers-msg-val: Base(hdr),
encodes-msg-type: hdr encodes T,
es-header: header(e),
Message: Message(f),
classfun: X(e),
eo-forward: eo.e,
event-ordering+: EO+(Info),
es-E: E,
name: Name,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
function: x:A ─→ B[x],
universe: Type,
sqequal: s ~ t,
equal: s = t ∈ T
Lemmas :
equal_wf,
name_wf,
es-header_wf,
subtype_rel_dep_function,
eo-forward-E-subtype,
event-ordering+_subtype,
Message_wf,
encodes-msg-type_wf,
es-E_wf,
eo-forward_wf,
event-ordering+_wf,
eo-forward-info
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[e:E]. \mforall{}[e':E]. \mforall{}[hdr:Name]. \mforall{}[T:Type].
(Base(hdr)(e') \msim{} Base(hdr)(e')) supposing ((header(e') = hdr) and hdr encodes T)
Date html generated:
2015_07_21-PM-04_50_50
Last ObjectModification:
2015_01_28-AM-08_44_30
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