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
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q,
implies: P ⇒ Q,
subtype_rel: A ⊆r B,
es-info-type: es-info-type(es;e;f),
msg-type: msg-type(msg;f),
es-header: header(e),
exists: ∃x:A. B[x],
uiff: uiff(P;Q),
cand: A c∧ B,
equal-info-body: v = body(e),
has-es-info-type: has-es-info-type(es;e;f;T),
prop: ℙ,
squash: ↓T
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:
2016_05_17-AM-11_13_49
Last ObjectModification:
2016_01_18-AM-00_09_38
Theory : process-model
Home
Index