{ 
[Info,A:Type]. [X:EClass(A)]. [Y:EClass(Top)].
es-interface-or-left((X | Y)) = X supposing Singlevalued(X) }
{ Proof }
Definitions occuring in Statement :
es-interface-or-left: es-interface-or-left(X),
es-interface-or: (X | Y),
sv-class: Singlevalued(X),
eclass: EClass(A[eo; e]),
uimplies: b supposing a,
uall: [x:A]. B[x],
top: Top,
universe: Type,
equal: s = t
Definitions :
nil: [],
one_or_both_ind_oobright: Error :one_or_both_ind_oobright_compseq_tag_def,
one_or_both_ind_oobleft: Error :one_or_both_ind_oobleft_compseq_tag_def,
one_or_both_ind_oobboth: Error :one_or_both_ind_oobboth_compseq_tag_def,
oobboth-bval: Error :oobboth-bval,
oobleft-lval: Error :oobleft-lval,
oobboth?: Error :oobboth?,
oobleft?: Error :oobleft?,
oob-getleft: oob-getleft(x),
oob-hasleft: oob-hasleft(x),
sqequal: s ~ t,
bag_size_empty: bag_size_empty{bag_size_empty_compseq_tag_def:o},
bag_only_single: bag_only_single{bag_only_single_compseq_tag_def:o}(x),
bag_size_single: bag_size_single{bag_size_single_compseq_tag_def:o}(x),
oobright: Error :oobright,
one_or_both: Error :one_or_both,
empty-bag: {},
oob-getleft?: oob-getleft?(x),
oobleft: Error :oobleft,
bag-only: only(bs),
oobboth: Error :oobboth,
single-bag: {x},
lt_int: i <z j,
le_int: i 
z j,
bfalse: ff,
real: 
,
grp_car: |g|,
nat: 
,
limited-type: LimitedType,
btrue: tt,
null: null(as),
set_blt: a <
b,
grp_blt: a < b,
infix_ap: x f y,
dcdr-to-bool: [d],
bl-all: (x
L.P[x])_b,
bl-exists: (
xL.P[x])_b,
b-exists: (i<n.P[i])_b,
eq_type: eq_type(T;T'),
qeq: qeq(r;s),
q_less: q_less(r;s),
q_le: q_le(r;s),
deq-member: deq-member(eq;x;L),
deq-disjoint: deq-disjoint(eq;as;bs),
deq-all-disjoint: deq-all-disjoint(eq;ass;bs),
eq_id: a = b,
eq_lnk: a = b,
es-eq-E: e = e',
es-bless: e <loc e',
es-ble: e loc e',
bimplies: p 
q,
band: p 
q,
bor: p 
q,
natural_number: $n,
bag-size: bag-size(bs),
eq_int: (i =
j),
bnot: 
b,
int: 
,
unit: Unit,
union: left + right,
implies: P Q,
bool: 
,
eclass-compose1: f o X,
oob-apply: oob-apply(xs;ys),
eclass-compose2: eclass-compose2(f;X;Y),
es-filter-image: f[X],
record-select: r.x,
set: {x:A| B[x]} ,
decide: case b of inl(x) => s[x] | inr(y) => t[y],
ifthenelse: if b then t else f fi ,
assert: 
b,
apply: f a,
eq_atom: x =a y,
eq_atom: eq_atom$n(x;y),
dep-isect: Error :dep-isect,
record+: record+,
bag: bag(T),
subtype: S 
T,
event_ordering: EO,
es-E: E,
event-ordering+: EO+(Info),
lambda: 
x.A[x],
top: Top,
pair: <a, b>,
fpf: a:A fp-> B[a],
strong-subtype: strong-subtype(A;B),
void: Void,
false: False,
le: A B,
ge: i 
j ,
not: A,
less_than: a < b,
product: x:A 
B[x],
and: P Q,
uiff: uiff(P;Q),
subtype_rel: A r B,
function: x:A 
B[x],
all: x:A. B[x],
universe: Type,
uall: [x:A]. B[x],
uimplies: b supposing a,
so_lambda: 
x y.t[x; y],
prop: 
,
sv-class: Singlevalued(X),
isect: 
x:A. B[x],
member: t T,
axiom: Ax,
equal: s = t,
eclass: EClass(A[eo; e]),
es-interface-or-left: es-interface-or-left(X),
es-interface-or: (X | Y),
CollapseTHEN: Error :CollapseTHEN,
Auto: Error :Auto,
CollapseTHENA: Error :CollapseTHENA,
Try: Error :Try,
RepeatFor: Error :RepeatFor,
tactic: Error :tactic
Lemmas :
nat_wf,
bag-size_wf,
assert_wf,
bool_wf,
assert_of_eq_int,
eqtt_to_assert,
uiff_transitivity,
es-interface-or-left_wf,
top_wf,
es-interface-or_wf,
bag_wf,
es-E_wf,
event-ordering+_wf,
event-ordering+_inc,
eclass_wf,
sv-class_wf,
member_wf,
not_wf,
eqff_to_assert,
assert_of_bnot,
not_functionality_wrt_uiff,
bnot_wf,
eq_int_wf,
bag-only_wf,
Error :oobboth_wf,
Error :one_or_both_wf,
single-bag_wf,
ifthenelse_wf,
oob-getleft?_wf,
unit_wf,
bag-size-one,
bag-size-zero,
le_wf,
false_wf,
empty-bag_wf,
subtype_rel_wf,
es-interface-top
\mforall{}[Info,A:Type]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(Top)].
es-interface-or-left((X | Y)) = X supposing Singlevalued(X)
Date html generated:
2011_08_16-PM-04_23_34
Last ObjectModification:
2011_06_20-AM-00_49_13
Home
Index