Nuprl Lemma : classrel-classfun
∀[Info,T:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(T)]. ∀[e:E]. ∀[v:T]. uiff(v ∈ X(e);v = X(e) ∈ T) supposing X is functional
Proof
Definitions occuring in Statement :
classfun: X(e),
es-functional-class: X is functional,
classrel: v ∈ X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uiff: uiff(P;Q),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
classfun_wf,
bag-member-classfun,
classrel_wf,
equal_wf,
es-E_wf,
event-ordering+_subtype,
es-functional-class_wf,
eclass_wf,
event-ordering+_wf
\mforall{}[Info,T:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(T)].
\mforall{}[e:E]. \mforall{}[v:T]. uiff(v \mmember{} X(e);v = X(e)) supposing X is functional
Date html generated:
2015_07_17-PM-00_21_20
Last ObjectModification:
2015_01_27-PM-11_39_56
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