Nuprl Lemma : local-class-output-agree2
∀[Info,A:Type]. ∀[X:EClass(A)].
∀[eo1,eo2:EO+(Info)]. ∀[e1:E]. ∀[e2:E].
(X(e1) = X(e2) ∈ bag(A)) supposing (eo-local-agree(Info;eo1;eo2;e1;e2) and (loc(e1) = loc(e2) ∈ Id))
supposing LocalClass(X)
Proof
Definitions occuring in Statement :
eo-local-agree: eo-local-agree(Info;eo1;eo2;e1;e2),
local-class: LocalClass(X),
class-ap: X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-loc: loc(e),
es-E: E,
Id: Id,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
universe: Type,
equal: s = t ∈ T,
bag: bag(T)
Definitions unfolded in proof :
uimplies: b supposing a,
uall: ∀[x:A]. B[x]
Latex:
\mforall{}[Info,A:Type]. \mforall{}[X:EClass(A)].
\mforall{}[eo1,eo2:EO+(Info)]. \mforall{}[e1:E]. \mforall{}[e2:E].
(X(e1) = X(e2)) supposing (eo-local-agree(Info;eo1;eo2;e1;e2) and (loc(e1) = loc(e2)))
supposing LocalClass(X)
Date html generated:
2016_05_16-PM-02_06_44
Last ObjectModification:
2015_12_29-PM-02_26_09
Theory : event-ordering
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