Nuprl Lemma : assert-in-missing
∀i:ℤ. ∀missing:ℤ List. ((↑in-missing(i;missing)) ⇒ (i ∈ missing))
Proof
Definitions occuring in Statement :
in-missing: in-missing(i;missing),
l_member: (x ∈ l),
list: T List,
assert: ↑b,
all: ∀x:A. B[x],
implies: P ⇒ Q,
int: ℤ
Lemmas :
list_induction,
assert_wf,
in-missing_wf,
l_member_wf,
nil_wf,
nil_member,
false_wf,
reduce_cons_lemma,
iff_transitivity,
le_int_wf,
bool_wf,
eqtt_to_assert,
assert_of_le_int,
bor_wf,
eq_int_wf,
reduce_wf,
bfalse_wf,
le_wf,
or_wf,
equal-wf-base,
int_subtype_base,
iff_weakening_uiff,
assert_of_band,
assert_of_bor,
assert_of_eq_int,
decidable__equal_int,
not-equal-2,
add_functionality_wrt_le,
add-associates,
add-commutes,
le-add-cancel,
le_antisymmetry_iff,
add-swap,
cons_wf,
cons_member,
list_wf
\mforall{}i:\mBbbZ{}. \mforall{}missing:\mBbbZ{} List. ((\muparrow{}in-missing(i;missing)) {}\mRightarrow{} (i \mmember{} missing))
Date html generated:
2015_07_17-AM-08_21_18
Last ObjectModification:
2015_04_02-PM-05_43_02
Home
Index