Nuprl Lemma : base-classrel-equal
∀[T:Type]. ∀[f:Name ⟶ Type]. ∀[es:EO+(Message(f))]. ∀[e:E]. ∀[v:T]. ∀[hdr:Name].
uiff(v ∈ Base(hdr)(e);(header(e) = hdr ∈ Name) ∧ v = body(e)) supposing hdr encodes T
Proof
Definitions occuring in Statement :
base-headers-msg-val: Base(hdr),
encodes-msg-type: hdr encodes T,
equal-info-body: v = body(e),
es-header: header(e),
Message: Message(f),
classrel: v ∈ X(e),
event-ordering+: EO+(Info),
es-E: E,
name: Name,
uiff: uiff(P;Q),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
and: P ∧ Q,
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,
equal-info-body: v = body(e),
subtype_rel: A ⊆r B,
uiff: uiff(P;Q),
and: P ∧ Q,
has-es-info-type: has-es-info-type(es;e;f;T),
prop: ℙ,
classrel: v ∈ X(e),
bag-member: x ↓∈ bs,
squash: ↓T
Latex:
\mforall{}[T:Type]. \mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[e:E]. \mforall{}[v:T]. \mforall{}[hdr:Name].
uiff(v \mmember{} Base(hdr)(e);(header(e) = hdr) \mwedge{} v = body(e)) supposing hdr encodes T
Date html generated:
2016_05_17-AM-09_12_53
Last ObjectModification:
2016_01_17-PM-11_15_11
Theory : classrel!lemmas
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