Nuprl Lemma : classfun-res-base-classrel
∀[f:Name ⟶ Type]. ∀[T:Type]. ∀[es:EO+(Message(f))]. ∀[e:E]. ∀[hdr:Name]. ∀[v:T].
(Base(hdr)@e = v ∈ T) supposing (v ∈ Base(hdr)(e) and hdr encodes T)
Proof
Definitions occuring in Statement :
base-headers-msg-val: Base(hdr),
encodes-msg-type: hdr encodes T,
Message: Message(f),
classfun-res: X@e,
classrel: v ∈ X(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,
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,
exists: ∃x:A. B[x],
prop: ℙ,
squash: ↓T,
uiff: uiff(P;Q),
subtype_rel: A ⊆r B
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[T:Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[e:E]. \mforall{}[hdr:Name]. \mforall{}[v:T].
(Base(hdr)@e = v) supposing (v \mmember{} Base(hdr)(e) and hdr encodes T)
Date html generated:
2016_05_17-AM-11_15_52
Last ObjectModification:
2016_01_18-AM-00_09_33
Theory : process-model
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