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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