Nuprl Lemma : run-pred-step-less
∀[M:Type ─→ Type]. ∀[r:pRunType(P.M[P])].
∀[x,y:runEvents(r)]. run-event-step(x) < run-event-step(y) supposing x run-pred(r) y
supposing ∀e:runEvents(r). fst(fst(run-info(r;e))) < run-event-step(e)
Proof
Definitions occuring in Statement :
run-pred: run-pred(r),
run-event-step: run-event-step(e),
runEvents: runEvents(r),
run-info: run-info(r;e),
pRunType: pRunType(T.M[T]),
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 :
infix_ap_wf,
runEvents_wf,
run-pred_wf,
member-less_than,
run-event-step_wf,
nat_wf,
all_wf,
less_than_wf,
run-info_wf,
Id_wf,
pMsg_wf,
pRunType_wf,
subtype_base_sq,
product_subtype_base,
int_subtype_base,
atom2_subtype_base
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]. \mforall{}[r:pRunType(P.M[P])].
\mforall{}[x,y:runEvents(r)]. run-event-step(x) < run-event-step(y) supposing x run-pred(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_14_05
Last ObjectModification:
2015_01_29-AM-00_06_09
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