Nuprl Lemma : p-open-measure-one_wf
∀[p:FinProbSpace]. ∀[C:p-open(p)]. (measure(C) = 1 ∈ ℙ)
Proof
Definitions occuring in Statement :
p-open-measure-one: measure(C) = 1,
p-open: p-open(p),
finite-prob-space: FinProbSpace,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Lemmas :
all_wf,
nat_plus_wf,
exists_wf,
nat_wf,
Error :qle_wf,
qsub_wf,
int-subtype-rationals,
qdiv_wf,
subtype_rel_set,
rationals_wf,
less_than_wf,
Error :int_nzero-rational,
subtype_rel_sets,
nequal_wf,
less_than_transitivity1,
le_weakening,
less_than_irreflexivity,
equal_wf,
equal-wf-base,
int_subtype_base,
expectation_wf,
int_seg_wf,
p-outcome_wf,
lelt_wf,
length_wf,
p-open_wf,
finite-prob-space_wf
\mforall{}[p:FinProbSpace]. \mforall{}[C:p-open(p)]. (measure(C) = 1 \mmember{} \mBbbP{})
Date html generated:
2015_07_17-AM-08_00_10
Last ObjectModification:
2015_01_27-AM-11_22_00
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