Nuprl Lemma : eo-forward-base-classfun-sq
∀[f:Name ⟶ Type]. ∀[es:EO+(Message(f))]. ∀[e:E]. ∀[e':E]. ∀[hdr:Name]. ∀[T:Type].
(Base(hdr)(e') ~ Base(hdr)(e')) supposing ((header(e') = hdr ∈ Name) and hdr encodes T)
Proof
Definitions occuring in Statement :
base-headers-msg-val: Base(hdr),
encodes-msg-type: hdr encodes T,
es-header: header(e),
Message: Message(f),
classfun: X(e),
eo-forward: eo.e,
event-ordering+: EO+(Info),
es-E: E,
name: Name,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
function: x:A ⟶ B[x],
universe: Type,
sqequal: s ~ t,
equal: s = t ∈ T
Definitions unfolded in proof :
base-headers-msg-val: Base(hdr),
classfun: X(e),
cond-msg-body: cond-msg-body(hdr;msg),
top: Top,
member: t ∈ T,
uall: ∀[x:A]. B[x],
subtype_rel: A ⊆r B,
so_lambda: λ2x.t[x],
so_apply: x[s],
uimplies: b supposing a,
all: ∀x:A. B[x],
prop: ℙ
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[e:E]. \mforall{}[e':E]. \mforall{}[hdr:Name]. \mforall{}[T:Type].
(Base(hdr)(e') \msim{} Base(hdr)(e')) supposing ((header(e') = hdr) and hdr encodes T)
Date html generated:
2016_05_17-AM-08_54_21
Last ObjectModification:
2015_12_29-PM-02_54_31
Theory : messages
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