Nuprl Lemma : es-opt-prior-val_wf

[Info,T:Type]. ∀[d:T]. ∀[es:EO+(Info)]. ∀[X:EClass(T)]. ∀[e:E].  (X'(e)?d ∈ T)


Proof




Definitions occuring in Statement :  es-opt-prior-val: X'(e)?d eclass: EClass(A[eo; e]) event-ordering+: EO+(Info) es-E: E uall: [x:A]. B[x] member: t ∈ T universe: Type
Definitions unfolded in proof :  uall: [x:A]. B[x] member: t ∈ T es-opt-prior-val: X'(e)?d subtype_rel: A ⊆B so_lambda: λ2y.t[x; y] so_apply: x[s1;s2] uimplies: supposing a all: x:A. B[x] top: Top implies:  Q bool: 𝔹 unit: Unit it: btrue: tt uiff: uiff(P;Q) and: P ∧ Q ifthenelse: if then else fi  bfalse: ff es-E-interface: E(X)

Latex:
\mforall{}[Info,T:Type].  \mforall{}[d:T].  \mforall{}[es:EO+(Info)].  \mforall{}[X:EClass(T)].  \mforall{}[e:E].    (X'(e)?d  \mmember{}  T)



Date html generated: 2016_05_17-AM-06_40_11
Last ObjectModification: 2015_12_29-AM-00_29_16

Theory : event-ordering


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