Nuprl Lemma : es-interface-part_wf
∀[Info,T:Type]. ∀[X:EClass(T)]. ∀[g:∩es:EO+(Info). (E(X) ─→ Id)]. ∀[i:Id]. ((X|g=i) ∈ EClass(T))
Proof
Definitions occuring in Statement :
es-interface-part: (X|g=i),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
uall: ∀[x:A]. B[x],
member: t ∈ T,
isect: ∩x:A. B[x],
function: x:A ─→ B[x],
universe: Type
Lemmas :
assert_wf,
in-eclass_wf,
assert_of_eq_int,
bag-size_wf,
nat_wf,
squash_wf,
true_wf,
bag_wf,
iff_weakening_equal,
eq_id_wf,
bool_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
assert-eq-id,
Id_wf,
empty-bag_wf,
es-E-interface_wf,
subtype_rel_dep_function,
event-ordering+_wf,
es-E_wf,
event-ordering+_subtype,
top_wf,
subtype_rel_bag
Latex:
\mforall{}[Info,T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[g:\mcap{}es:EO+(Info). (E(X) {}\mrightarrow{} Id)]. \mforall{}[i:Id]. ((X|g=i) \mmember{} EClass(T))
Date html generated:
2015_07_20-PM-03_36_56
Last ObjectModification:
2015_02_04-PM-05_28_14
Home
Index