Nuprl Lemma : es-fix_wf_antecedent

Info:Type. ∀es:EO+(Info). ∀X:EClass(Top). ∀f:sys-antecedent(es;X). ∀e:E(X).  (f**(e) ∈ E(X))


Proof




Definitions occuring in Statement :  sys-antecedent: sys-antecedent(es;Sys) es-E-interface: E(X) eclass: EClass(A[eo; e]) event-ordering+: EO+(Info) es-fix: f**(e) top: Top all: x:A. B[x] member: t ∈ T universe: Type
Definitions unfolded in proof :  all: x:A. B[x] member: t ∈ T sys-antecedent: sys-antecedent(es;Sys) uall: [x:A]. B[x] subtype_rel: A ⊆B uimplies: supposing a es-E-interface: E(X) so_lambda: λ2x.t[x] so_apply: x[s] so_lambda: λ2y.t[x; y] so_apply: x[s1;s2]

Latex:
\mforall{}Info:Type.  \mforall{}es:EO+(Info).  \mforall{}X:EClass(Top).  \mforall{}f:sys-antecedent(es;X).  \mforall{}e:E(X).    (f**(e)  \mmember{}  E(X))



Date html generated: 2016_05_16-PM-02_45_50
Last ObjectModification: 2015_12_29-AM-11_25_24

Theory : event-ordering


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