Nuprl Lemma : decidable__run-pred
∀[M:Type ─→ Type]. ∀r:pRunType(P.M[P]). ∀e1,e2:runEvents(r). Dec(e1 run-pred(r) e2)
Proof
Definitions occuring in Statement :
run-pred: run-pred(r),
runEvents: runEvents(r),
pRunType: pRunType(T.M[T]),
decidable: Dec(P),
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 :
run-info_wf,
Id_wf,
pMsg_wf,
pRunType_wf,
eq_id_wf,
bool_wf,
eqtt_to_assert,
assert-eq-id,
lt_int_wf,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert_of_lt_int,
member-less_than,
less_than_wf,
false_wf,
eqff_to_assert,
assert-bnot,
iff_transitivity,
assert_wf,
iff_weakening_uiff,
assert_of_band,
eq_int_wf,
assert_of_eq_int,
int_subtype_base,
atom2_subtype_base,
equal-wf-T-base
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]. \mforall{}r:pRunType(P.M[P]). \mforall{}e1,e2:runEvents(r). Dec(e1 run-pred(r) e2)
Date html generated:
2015_07_23-AM-11_14_54
Last ObjectModification:
2015_01_29-AM-00_06_50
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