Nuprl Lemma : pv11_p1_add_if_new_if
∀Cmd:ValueAllType. ∀p:ℤ × Cmd. ∀proposals:(ℤ × Cmd) List.
((¬↑(pv11_p1_in_domain(Cmd) (fst(p)) proposals)) ⇒ (p ∈ pv11_p1_add_if_new() pv11_p1_same_proposal(Cmd) p proposals))
Proof
Definitions occuring in Statement :
pv11_p1_add_if_new: pv11_p1_add_if_new(),
pv11_p1_same_proposal: pv11_p1_same_proposal(Cmd),
pv11_p1_in_domain: pv11_p1_in_domain(Cmd),
l_member: (x ∈ l),
list: T List,
vatype: ValueAllType,
assert: ↑b,
pi1: fst(t),
all: ∀x:A. B[x],
not: ¬A,
implies: P ⇒ Q,
apply: f a,
product: x:A × B[x],
int: ℤ
Lemmas :
not_wf,
assert_wf,
pv11_p1_in_domain_wf,
list_wf,
valueall-type_wf,
eqtt_to_assert,
assert-bl-exists,
l_exists_iff,
l_member_wf,
pv11_p1_same_proposal_wf,
assert_of_eq_int,
assert-deq-member,
int-deq_wf,
map_wf,
member_map,
equal-wf-base-T,
int_subtype_base,
eqff_to_assert,
equal_wf,
bool_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
pv11_p1_add_if_new_iff
Latex:
\mforall{}Cmd:ValueAllType. \mforall{}p:\mBbbZ{} \mtimes{} Cmd. \mforall{}proposals:(\mBbbZ{} \mtimes{} Cmd) List.
((\mneg{}\muparrow{}(pv11\_p1\_in\_domain(Cmd) (fst(p)) proposals))
{}\mRightarrow{} (p \mmember{} pv11\_p1\_add\_if\_new() pv11\_p1\_same\_proposal(Cmd) p proposals))
Date html generated:
2015_07_23-PM-04_44_32
Last ObjectModification:
2015_01_29-AM-11_20_20
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