Nuprl Lemma : es-fix_wf2

[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[f:E(X) ─→ E(X)].
  ∀[e:E(X)]. (f**(e) ∈ E(X)) supposing ∀x:E(X). c≤ x


Proof




Definitions occuring in Statement :  es-E-interface: E(X) eclass: EClass(A[eo; e]) event-ordering+: EO+(Info) es-fix: f**(e) es-causle: c≤ e' uimplies: supposing a uall: [x:A]. B[x] top: Top all: x:A. B[x] member: t ∈ T apply: a function: x:A ─→ B[x] universe: Type
Lemmas :  es-fix_wf_antecedent all_wf es-E-interface_wf es-causle_wf event-ordering+_subtype eclass_wf top_wf es-E_wf event-ordering+_wf
\mforall{}[Info:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[X:EClass(Top)].  \mforall{}[f:E(X)  {}\mrightarrow{}  E(X)].
    \mforall{}[e:E(X)].  (f**(e)  \mmember{}  E(X))  supposing  \mforall{}x:E(X).  f  x  c\mleq{}  x



Date html generated: 2015_07_17-PM-01_00_06
Last ObjectModification: 2015_01_27-PM-10_44_35

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