Nuprl Lemma : es-filter-image_wf
∀[Info,A,B:Type]. ∀[f:A ─→ bag(B)]. ∀[X:EClass(A)]. (f[X] ∈ EClass(B))
Proof
Definitions occuring in Statement :
es-filter-image: f[X],
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type,
bag: bag(T)
Lemmas :
eclass-compose1_wf,
eq_int_wf,
bag-size_wf,
nat_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_int,
bag-only_wf2,
single-valued-bag-if-le1,
le_weakening,
decidable__lt,
false_wf,
le_antisymmetry_iff,
add_functionality_wrt_le,
add-zero,
le-add-cancel,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_int,
empty-bag_wf,
bag_wf,
eclass_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf
\mforall{}[Info,A,B:Type]. \mforall{}[f:A {}\mrightarrow{} bag(B)]. \mforall{}[X:EClass(A)]. (f[X] \mmember{} EClass(B))
Date html generated:
2015_07_17-PM-00_48_34
Last ObjectModification:
2015_01_27-PM-11_04_56
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