Nuprl Lemma : base-headers-msg-val-single-val
∀[f:Name ⟶ Type]. ∀[es:EO+(Message(f))]. ∀[hdr:Name]. ∀[T:Type].
single-valued-classrel(es;Base(hdr);T) supposing hdr encodes T
Proof
Definitions occuring in Statement :
base-headers-msg-val: Base(hdr),
encodes-msg-type: hdr encodes T,
Message: Message(f),
single-valued-classrel: single-valued-classrel(es;X;T),
event-ordering+: EO+(Info),
name: Name,
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,
base-headers-msg-val: Base(hdr),
single-valued-classrel: single-valued-classrel(es;X;T),
classrel: v ∈ X(e),
single-valued-bag: single-valued-bag(b;T),
all: ∀x:A. B[x],
subtype_rel: A ⊆r B,
implies: P ⇒ Q,
prop: ℙ,
encodes-msg-type: hdr encodes T
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[hdr:Name]. \mforall{}[T:Type].
single-valued-classrel(es;Base(hdr);T) supposing hdr encodes T
Date html generated:
2016_05_17-AM-08_52_25
Last ObjectModification:
2015_12_29-PM-02_55_30
Theory : messages
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