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: 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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