Nuprl Lemma : pv11_p1_lt_bnum_upd
∀ldrs_uid:Id ─→ ℤ. ∀b:pv11_p1_Ballot_Num(). ∀l:Id. ((↑(pv11_p1_is_bnum() b)) ⇒ (↑(b < (pv11_p1_upd_bnum() b l))))
Proof
Definitions occuring in Statement :
pv11_p1_lt_bnum: pv11_p1_lt_bnum(ldrs_uid),
pv11_p1_upd_bnum: pv11_p1_upd_bnum(),
pv11_p1_is_bnum: pv11_p1_is_bnum(),
pv11_p1_Ballot_Num: pv11_p1_Ballot_Num(),
Id: Id,
assert: ↑b,
all: ∀x:A. B[x],
implies: P ⇒ Q,
apply: f a,
function: x:A ─→ B[x],
int: ℤ
Lemmas :
assert_of_bor,
lt_int_wf,
eq_int_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_int,
decidable__lt,
equal-wf-base,
int_subtype_base,
less_than_wf,
false_wf,
condition-implies-le,
minus-add,
minus-one-mul,
add-swap,
add-mul-special,
zero-mul,
add-zero,
add-associates,
add-commutes,
le-add-cancel,
or_wf,
assert_of_lt_int,
iff_transitivity,
assert_wf,
iff_weakening_uiff,
assert_of_band,
pv11_p1_is_bnum_wf,
Id_wf,
pv11_p1_Ballot_Num_wf
Latex:
\mforall{}ldrs$_{uid}$:Id {}\mrightarrow{} \mBbbZ{}. \mforall{}b:pv11\_p1\_Ballot\_Num(). \mforall{}l:Id.
((\muparrow{}(pv11\_p1\_is\_bnum() b)) {}\mRightarrow{} (\muparrow{}(b < (pv11\_p1\_upd\_bnum() b l))))
Date html generated:
2015_07_23-PM-04_43_53
Last ObjectModification:
2015_01_29-AM-11_20_29
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