Nuprl Lemma : once-classrel
∀[Info,A:Type]. ∀[X:EClass(A)]. ∀[es:EO+(Info)]. ∀[e:E]. ∀v:A. uiff(v ∈ (X once)(e);(no X prior to e) ∧ v ∈ X(e))
Proof
Definitions occuring in Statement :
once-class: (X once),
no-prior-classrel: (no X prior to e),
classrel: v ∈ X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
and: P ∧ Q,
universe: Type
Lemmas :
classrel_wf,
once-class_wf,
alle-lt_wf,
Id_wf,
es-loc_wf,
all_wf,
not_wf,
es-locl_wf,
event-ordering+_subtype,
es-E_wf,
event-ordering+_wf,
eclass_wf,
until-classrel
Latex:
\mforall{}[Info,A:Type]. \mforall{}[X:EClass(A)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E].
\mforall{}v:A. uiff(v \mmember{} (X once)(e);(no X prior to e) \mwedge{} v \mmember{} X(e))
Date html generated:
2015_07_20-PM-04_00_14
Last ObjectModification:
2015_01_27-PM-09_55_07
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