Nuprl Lemma : member-base-class
∀[f:Name ⟶ Type]. ∀[es:EO+(Message(f))]. ∀[e:E]. ∀[hdr:Name]. header(e) = hdr ∈ Name supposing ↑e ∈b Base(hdr)
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,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
function: x:A ⟶ B[x],
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
squash: ↓T,
exists: ∃x:A. B[x],
uiff: uiff(P;Q),
and: P ∧ Q,
subtype_rel: A ⊆r B,
prop: ℙ
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[e:E]. \mforall{}[hdr:Name].
header(e) = hdr supposing \muparrow{}e \mmember{}\msubb{} Base(hdr)
Date html generated:
2016_05_17-AM-11_13_36
Last ObjectModification:
2015_12_29-PM-05_13_10
Theory : process-model
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