Nuprl Lemma : es-sv-class-implies-single-valued-classrel
∀[Info,T:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(T)]. single-valued-classrel(es;X;T) supposing es-sv-class(es;X)
Proof
Definitions occuring in Statement :
single-valued-classrel: single-valued-classrel(es;X;T),
es-sv-class: es-sv-class(es;X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
universe: Type
Lemmas :
bag-size_wf,
classrel_wf,
es-E_wf,
event-ordering+_subtype,
all_wf,
le_wf,
nat_wf,
eclass_wf,
event-ordering+_wf,
bag-size-zero,
le_weakening,
bag-member-empty-iff,
bag-size-one,
bag-member-single,
bag-only_wf2,
single-valued-bag-if-le1,
decidable__lt,
false_wf,
le_antisymmetry_iff,
add_functionality_wrt_le,
add-zero,
le-add-cancel
\mforall{}[Info,T:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(T)].
single-valued-classrel(es;X;T) supposing es-sv-class(es;X)
Date html generated:
2015_07_17-PM-00_22_13
Last ObjectModification:
2015_01_27-PM-11_38_39
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