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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