Nuprl Lemma : pv11_p1_max_bnum_if_leq
∀ldrs_uid:Id ─→ ℤ. ∀b1,b2:pv11_p1_Ballot_Num().
((↑(pv11_p1_leq_bnum(ldrs_uid) b1 b2)) ⇒ ((pv11_p1_max_bnum(ldrs_uid) b1 b2) = b2 ∈ pv11_p1_Ballot_Num()))
Proof
Definitions occuring in Statement :
pv11_p1_max_bnum: pv11_p1_max_bnum(ldrs_uid),
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],
implies: P ⇒ Q,
apply: f a,
function: x:A ─→ B[x],
int: ℤ,
equal: s = t ∈ T
Lemmas :
pv11_p1_leq_bnum_wf,
bool_wf,
eqtt_to_assert,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert_wf,
Id_wf,
unit_wf2
Latex:
\mforall{}ldrs$_{uid}$:Id {}\mrightarrow{} \mBbbZ{}. \mforall{}b1,b2:pv11\_p1\_Ballot\_Num().
((\muparrow{}(pv11\_p1\_leq\_bnum(ldrs$_{uid}$) b1 b2)) {}\mRightarrow{} ((pv11\_p1\_max\_bnum(ldrs$\mbackslash{}ff5\000Cf{uid}$) b1 b2) = b2))
Date html generated:
2015_07_23-PM-04_44_16
Last ObjectModification:
2015_01_29-AM-11_20_10
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