Nuprl Lemma : failure-known-causle
∀[es:EO]. ∀[i:Id]. ∀[e,e':E].  (failure-known(es;e';i)) supposing (failure-known(es;e;i) and e c≤ e')
Proof
Definitions occuring in Statement : 
failure-known: failure-known(es;e;i), 
es-causle: e c≤ e', 
es-E: E, 
event_ordering: EO, 
Id: Id, 
uimplies: b supposing a, 
uall: ∀[x:A]. B[x]
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x], 
member: t ∈ T, 
uimplies: b supposing a, 
failure-known: failure-known(es;e;i), 
alle-at: ∀e@i.P[e], 
all: ∀x:A. B[x], 
implies: P ⇒ Q, 
guard: {T}, 
prop: ℙ, 
not: ¬A, 
false: False
Latex:
\mforall{}[es:EO].  \mforall{}[i:Id].  \mforall{}[e,e':E].
    (failure-known(es;e';i))  supposing  (failure-known(es;e;i)  and  e  c\mleq{}  e')
Date html generated:
2016_05_16-AM-10_21_38
Last ObjectModification:
2015_12_28-PM-09_21_44
Theory : new!event-ordering
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