Nuprl Lemma : es-interface-map_wf
∀[Info,A,B:Type]. ∀[X:EClass(A)]. ∀[f:∩es:EO+(Info). (A ─→ E(X) ─→ bag(B))]. (es-interface-map(f;X) ∈ EClass(B))
Proof
Definitions occuring in Statement :
es-interface-map: es-interface-map(f;X),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uall: ∀[x:A]. B[x],
member: t ∈ T,
isect: ∩x:A. B[x],
function: x:A ─→ B[x],
universe: Type,
bag: bag(T)
Lemmas :
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
es-E-interface_wf,
es-interface-subtype_rel2,
top_wf,
bag_wf,
eclass_wf,
eq_int_wf,
bag-size_wf,
nat_wf,
bool_wf,
equal-wf-T-base,
assert_wf,
bag-only_wf2,
decidable__lt,
false_wf,
le_antisymmetry_iff,
add_functionality_wrt_le,
add-zero,
le-add-cancel,
bnot_wf,
not_wf,
empty-bag_wf,
uiff_transitivity,
eqtt_to_assert,
assert_of_eq_int,
iff_transitivity,
iff_weakening_uiff,
eqff_to_assert,
assert_of_bnot,
single-valued-bag-if-le1,
le_weakening,
in-eclass_wf
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[X:EClass(A)]. \mforall{}[f:\mcap{}es:EO+(Info). (A {}\mrightarrow{} E(X) {}\mrightarrow{} bag(B))].
(es-interface-map(f;X) \mmember{} EClass(B))
Date html generated:
2015_07_20-PM-03_16_43
Last ObjectModification:
2015_01_27-PM-10_40_01
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