Nuprl Lemma : es-interface-val?_wf

[Info:Type]. ∀[es:EO+(Info)]. ∀[A:Type]. ∀[X:EClass(A)]. ∀[e:E]. ∀[a:A].  (X(e)?a ∈ A)


Proof




Definitions occuring in Statement :  es-interface-val?: X(e)?v 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 :  es-interface-val?: X(e)?v uall: [x:A]. B[x] member: t ∈ T 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 ifthenelse: if then else fi  uiff: uiff(P;Q) and: P ∧ Q bfalse: ff

Latex:
\mforall{}[Info:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[A:Type].  \mforall{}[X:EClass(A)].  \mforall{}[e:E].  \mforall{}[a:A].    (X(e)?a  \mmember{}  A)



Date html generated: 2016_05_16-PM-10_23_13
Last ObjectModification: 2015_12_29-AM-11_10_21

Theory : event-ordering


Home Index