Nuprl Lemma : is-cond-class
∀[Info:Type]. ∀X,Y:EClass(Top). ∀es:EO+(Info). ∀e:E. (↑e ∈b [X?Y] ⇐⇒ (↑e ∈b X) ∨ (↑e ∈b Y))
Proof
Definitions occuring in Statement :
cond-class: [X?Y],
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
assert: ↑b,
uall: ∀[x:A]. B[x],
top: Top,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
or: P ∨ Q,
universe: Type
Lemmas :
eq_int_wf,
bag-size_wf,
top_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_int,
nat_wf,
assert_wf,
assert_witness,
or_wf,
true_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_int,
false_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
eclass_wf
\mforall{}[Info:Type]. \mforall{}X,Y:EClass(Top). \mforall{}es:EO+(Info). \mforall{}e:E. (\muparrow{}e \mmember{}\msubb{} [X?Y] \mLeftarrow{}{}\mRightarrow{} (\muparrow{}e \mmember{}\msubb{} X) \mvee{} (\muparrow{}e \mmember{}\msubb{} Y))
Date html generated:
2015_07_17-PM-00_47_31
Last ObjectModification:
2015_01_27-PM-11_05_17
Home
Index