Nuprl Lemma : primed-class-prior-val
∀[Info,T:Type]. ∀[X:EClass(T)]. Prior(X) = (X)' ∈ EClass(T) supposing Singlevalued(X)
Proof
Definitions occuring in Statement :
es-prior-val: (X)',
primed-class: Prior(X),
sv-class: Singlevalued(X),
eclass: EClass(A[eo; e]),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
es-E_wf,
event-ordering+_subtype,
sv-class_wf,
event-ordering+_wf,
eclass_wf,
es-local-pred_wf,
lt_int_wf,
bag-size_wf,
nat_wf,
or_wf,
sq_exists_wf,
es-locl_wf,
assert_wf,
all_wf,
not_wf,
eq_int_wf,
bag_size_single_lemma,
bag_only_single_lemma,
bag_size_empty_lemma,
empty-bag_wf,
equal_wf,
es-locl-total,
assert_of_eq_int,
assert_of_lt_int,
decidable__lt,
false_wf,
le_antisymmetry_iff,
add_functionality_wrt_le,
add-zero,
le-add-cancel,
sv-class-iff,
bool_wf,
eqtt_to_assert,
eqff_to_assert,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_int,
equal-wf-T-base,
implies_functionality_wrt_iff,
iff_weakening_uiff,
assert_functionality_wrt_uiff,
squash_wf,
true_wf,
bag_wf,
iff_weakening_equal,
bag-size-one,
single-bag_wf,
bag-only_wf2,
single-valued-bag-if-le1,
le_weakening,
sq_stable__and,
sq_stable_from_decidable,
decidable__es-locl,
sq_stable__assert,
sq_stable__all,
sq_stable__not,
assert_witness
Latex:
\mforall{}[Info,T:Type]. \mforall{}[X:EClass(T)]. Prior(X) = (X)' supposing Singlevalued(X)
Date html generated:
2015_07_21-PM-02_48_50
Last ObjectModification:
2015_02_04-PM-06_21_20
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