Nuprl Lemma : well-founded-run-lt
∀[M:Type ─→ Type]
∀r:pRunType(P.M[P])
SWellFounded(x run-lt(r) y) supposing ∀e:runEvents(r). fst(fst(run-info(r;e))) < run-event-step(e)
Proof
Definitions occuring in Statement :
run-lt: run-lt(r)
,
run-event-step: run-event-step(e)
,
runEvents: runEvents(r)
,
run-info: run-info(r;e)
,
pRunType: pRunType(T.M[T])
,
strongwellfounded: SWellFounded(R[x; y])
,
less_than: a < b
,
uimplies: b supposing a
,
uall: ∀[x:A]. B[x]
,
infix_ap: x f y
,
so_apply: x[s]
,
pi1: fst(t)
,
all: ∀x:A. B[x]
,
function: x:A ─→ B[x]
,
universe: Type
Lemmas :
run-lt-step-less,
member-less_than,
run-info_wf,
Id_wf,
pMsg_wf,
run-event-step_wf,
nat_wf,
runEvents_wf,
infix_ap_wf,
run-lt_wf,
all_wf,
less_than_wf,
pRunType_wf
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]
\mforall{}r:pRunType(P.M[P])
SWellFounded(x run-lt(r) y)
supposing \mforall{}e:runEvents(r). fst(fst(run-info(r;e))) < run-event-step(e)
Date html generated:
2015_07_23-AM-11_15_30
Last ObjectModification:
2015_01_29-AM-00_05_26
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