Nuprl Lemma : member-base-class_iff
∀[f:Name ─→ Type]. ∀[es:EO+(Message(f))]. ∀[e:E]. ∀[hdr:Name]. uiff(↑e ∈b Base(hdr);header(e) = hdr ∈ Name)
Proof
Definitions occuring in Statement :
base-headers-msg-val: Base(hdr),
es-header: header(e),
Message: Message(f),
member-eclass: e ∈b X,
event-ordering+: EO+(Info),
es-E: E,
name: Name,
assert: ↑b,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
function: x:A ─→ B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
member-base-class,
member-eclass_wf,
base-headers-msg-val_wf,
encodes-msg-type-trivial,
assert-member-eclass,
es-info-body_wf,
subtype_rel_self,
subtype_rel_wf,
base-classrel-equal,
classrel_wf,
assert_wf,
assert_witness,
equal_wf,
name_wf,
es-header_wf,
es-E_wf,
event-ordering+_subtype,
Message_wf,
event-ordering+_wf
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[e:E]. \mforall{}[hdr:Name].
uiff(\muparrow{}e \mmember{}\msubb{} Base(hdr);header(e) = hdr)
Date html generated:
2015_07_23-AM-11_27_36
Last ObjectModification:
2015_01_28-PM-11_13_49
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