Nuprl Lemma : es-E-interface-first
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[A:Type]. ∀[Ias:EClass(A) List]. ∀[i:ℕ||Ias||]. (E(Ias[i]) ⊆r E(first-eclass(Ias)))
Proof
Definitions occuring in Statement :
first-eclass: first-eclass(Xs),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
select: L[n],
length: ||as||,
list: T List,
int_seg: {i..j-},
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
natural_number: $n,
universe: Type
Lemmas :
es-E-interface_functionality,
select_wf,
sq_stable__le,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
top_wf,
first-eclass_wf,
subtype_rel_list,
eclass_wf,
es-is-interface-p-first,
assert_wf,
in-eclass_wf,
int_seg_wf,
length_wf,
event-ordering+_wf,
list_wf
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A:Type]. \mforall{}[Ias:EClass(A) List]. \mforall{}[i:\mBbbN{}||Ias||].
(E(Ias[i]) \msubseteq{}r E(first-eclass(Ias)))
Date html generated:
2015_07_20-PM-03_37_46
Last ObjectModification:
2015_01_27-PM-10_12_28
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