Nuprl Lemma : classfun-res-base-classrel
∀[f:Name ─→ Type]. ∀[T:Type]. ∀[es:EO+(Message(f))]. ∀[e:E]. ∀[hdr:Name]. ∀[v:T].
(Base(hdr)@e = v ∈ T) supposing (v ∈ Base(hdr)(e) and hdr encodes T)
Proof
Definitions occuring in Statement :
base-headers-msg-val: Base(hdr),
encodes-msg-type: hdr encodes T,
Message: Message(f),
classfun-res: X@e,
classrel: v ∈ X(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,
equal: s = t ∈ T
Lemmas :
classfun-res-member-base,
assert-member-eclass,
base-headers-msg-val_wf,
classrel_wf,
base-noloc-classrel,
Message_wf,
encodes-msg-type_wf,
name_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[T:Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[e:E]. \mforall{}[hdr:Name]. \mforall{}[v:T].
(Base(hdr)@e = v) supposing (v \mmember{} Base(hdr)(e) and hdr encodes T)
Date html generated:
2015_07_23-AM-11_28_58
Last ObjectModification:
2015_01_28-PM-11_12_37
Home
Index