Nuprl Lemma : single-valued-base-classrel
∀[f:Name ─→ Type]. ∀[T:Type]. ∀[es:EO+(Message(f))]. ∀[e:E]. ∀[v1,v2:T]. ∀[hdr:Name].
v1 ∈ Base(hdr)(e) ⇒ v2 ∈ Base(hdr)(e) ⇒ (v1 = v2 ∈ T) supposing T = (f hdr) ∈ Type
Proof
Definitions occuring in Statement :
base-headers-msg-val: Base(hdr),
Message: Message(f),
classrel: v ∈ X(e),
event-ordering+: EO+(Info),
es-E: E,
name: Name,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
apply: f a,
function: x:A ─→ B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
base-noloc-classrel,
subtype_base_sq,
name_wf,
list_subtype_base,
atom_subtype_base,
classrel_wf,
Message_wf,
base-headers-msg-val_wf,
subtype_rel_dep_function,
subtype_rel_weakening,
ext-eq_weakening,
equal_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[T:Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[e:E]. \mforall{}[v1,v2:T]. \mforall{}[hdr:Name].
v1 \mmember{} Base(hdr)(e) {}\mRightarrow{} v2 \mmember{} Base(hdr)(e) {}\mRightarrow{} (v1 = v2) supposing T = (f hdr)
Date html generated:
2015_07_22-PM-00_15_32
Last ObjectModification:
2015_01_28-AM-10_44_19
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