Nuprl Lemma : eo-forward-base-classrel
∀[f:Name ⟶ Type]. ∀[eo:EO+(Message(f))]. ∀[e:E]. ∀[e':E]. ∀[hdr:Name]. ∀[T:Type]. ∀[v:T].
uiff(v ∈ Base(hdr)(e');v ∈ Base(hdr)(e')) supposing hdr encodes T
Proof
Definitions occuring in Statement :
base-headers-msg-val: Base(hdr),
encodes-msg-type: hdr encodes T,
Message: Message(f),
classrel: v ∈ X(e),
eo-forward: eo.e,
event-ordering+: EO+(Info),
es-E: E,
name: Name,
uiff: uiff(P;Q),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
uiff: uiff(P;Q),
and: P ∧ Q,
base-headers-msg-val: Base(hdr),
classrel: v ∈ X(e),
cond-msg-body: cond-msg-body(hdr;msg),
bag-member: x ↓∈ bs,
squash: ↓T,
prop: ℙ,
subtype_rel: A ⊆r B,
top: Top
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[eo:EO+(Message(f))]. \mforall{}[e:E]. \mforall{}[e':E]. \mforall{}[hdr:Name]. \mforall{}[T:Type]. \mforall{}[v:T].
uiff(v \mmember{} Base(hdr)(e');v \mmember{} Base(hdr)(e')) supposing hdr encodes T
Date html generated:
2016_05_17-AM-08_54_15
Last ObjectModification:
2016_01_17-PM-08_32_46
Theory : messages
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