Nuprl Lemma : run-lt-transitive

∀[M:Type ─→ Type]. ∀r:pRunType(P.M[P]). Trans(runEvents(r);x,y.x run-lt(r) y)


Proof




Definitions occuring in Statement :  run-lt: run-lt(r),  runEvents: runEvents(r),  pRunType: pRunType(T.M[T]),  trans: Trans(T;x,y.E[x; y]),  uall: ∀[x:A]. B[x],  infix_ap: x f y,  so_apply: x[s],  all: ∀x:A. B[x],  function: x:A ─→ B[x],  universe: Type
Lemmas :  pRunType_wf,  rel_plus_trans,  runEvents_wf,  run-pred_wf

Latex:
\mforall{}[M:Type  {}\mrightarrow{}  Type].  \mforall{}r:pRunType(P.M[P]).  Trans(runEvents(r);x,y.x  run-lt(r)  y)



Date html generated: 2015_07_23-AM-11_15_36
Last ObjectModification: 2015_01_29-AM-00_05_14

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