Nuprl Lemma : es-interface-map-val
∀[Info,A:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(A)]. ∀[f:A ─→ E(X) ─→ bag(Top)]. ∀[e:E].
es-interface-map(f;X)(e) ~ only(f X(e) e) supposing ↑e ∈b es-interface-map(f;X)
Proof
Definitions occuring in Statement :
es-interface-map: es-interface-map(f;X),
es-E-interface: E(X),
eclass-val: X(e),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
apply: f a,
function: x:A ─→ B[x],
universe: Type,
sqequal: s ~ t,
bag-only: only(bs),
bag: bag(T)
Lemmas :
bag-size-one,
bag-only_wf2,
single-valued-bag-if-le1,
le_weakening,
decidable__lt,
bag-size_wf,
nat_wf,
false_wf,
le_antisymmetry_iff,
add_functionality_wrt_le,
add-zero,
le-add-cancel,
bag_only_single_lemma,
assert_of_eq_int,
assert_wf,
in-eclass_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
top_wf,
bag_wf,
eq_int_wf,
bool_wf,
eqtt_to_assert,
true_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_int
Latex:
\mforall{}[Info,A:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(A)]. \mforall{}[f:A {}\mrightarrow{} E(X) {}\mrightarrow{} bag(Top)]. \mforall{}[e:E].
es-interface-map(f;X)(e) \msim{} only(f X(e) e) supposing \muparrow{}e \mmember{}\msubb{} es-interface-map(f;X)
Date html generated:
2015_07_20-PM-03_17_06
Last ObjectModification:
2015_01_27-PM-10_40_26
Home
Index