Nuprl Lemma : pv11_p1_leq_bnum_or
∀ldrs_uid:Id ─→ ℤ. ∀b1,b2:pv11_p1_Ballot_Num().
((↑(pv11_p1_leq_bnum(ldrs_uid) b1 b2)) ∨ (↑(pv11_p1_leq_bnum(ldrs_uid) b2 b1)))
Proof
Definitions occuring in Statement :
pv11_p1_leq_bnum: pv11_p1_leq_bnum(ldrs_uid),
pv11_p1_Ballot_Num: pv11_p1_Ballot_Num(),
Id: Id,
assert: ↑b,
all: ∀x:A. B[x],
or: P ∨ Q,
apply: f a,
function: x:A ─→ B[x],
int: ℤ
Lemmas :
lt_int_wf,
bool_wf,
eqtt_to_assert,
assert_of_lt_int,
assert_wf,
bor_wf,
eq_int_wf,
assert_of_eq_int,
le_int_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
less_than_wf,
assert_of_le_int,
le_wf,
iff_transitivity,
or_wf,
equal-wf-base,
iff_weakening_uiff,
assert_of_bor,
assert_of_band,
decidable__le,
false_wf,
not-le-2,
condition-implies-le,
minus-add,
minus-one-mul,
add-swap,
add-commutes,
add_functionality_wrt_le,
add-associates,
le-add-cancel,
neg_assert_of_eq_int,
int_subtype_base,
decidable__lt,
not-equal-2,
true_wf,
pv11_p1_Ballot_Num_wf,
Id_wf
Latex:
\mforall{}ldrs$_{uid}$:Id {}\mrightarrow{} \mBbbZ{}. \mforall{}b1,b2:pv11\_p1\_Ballot\_Num().
((\muparrow{}(pv11\_p1\_leq\_bnum(ldrs$_{uid}$) b1 b2)) \mvee{} (\muparrow{}(pv11\_p1\_leq\_bnum(ldrs$\mbackslash{}ff5\000Cf{uid}$) b2 b1)))
Date html generated:
2015_07_23-PM-04_44_13
Last ObjectModification:
2015_01_29-AM-11_20_41
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