Nuprl Lemma : lpath-members-connected
∀[p:IdLnk List]. ∀[i:ℕ||p||]. ∀[j:ℕi + 1]. lconnects(l_interval(p;j;i);source(p[j]);source(p[i])) supposing lpath(p)
Proof
Definitions occuring in Statement :
lconnects: lconnects(p;i;j),
lpath: lpath(p),
lsrc: source(l),
IdLnk: IdLnk,
l_interval: l_interval(l;j;i),
select: L[n],
length: ||as||,
list: T List,
int_seg: {i..j-},
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
add: n + m,
natural_number: $n
Lemmas :
length_l_interval,
int_seg_wf,
subtract_wf,
length_wf,
IdLnk_wf,
l_interval_wf,
Id_wf,
lelt_wf,
general_add_assoc,
ldst_wf,
squash_wf,
true_wf,
select_l_interval,
lsrc_wf,
iff_weakening_equal,
not_wf,
equal_wf,
lnk-inv_wf,
equal-wf-T-base,
select_wf,
hd_l_interval,
subtype_base_sq,
int_subtype_base,
last_l_interval,
add-associates,
add-swap,
add-commutes,
zero-add,
le_wf,
less_than_wf,
list_wf,
and_wf
\mforall{}[p:IdLnk List]. \mforall{}[i:\mBbbN{}||p||]. \mforall{}[j:\mBbbN{}i + 1].
lconnects(l\_interval(p;j;i);source(p[j]);source(p[i])) supposing lpath(p)
Date html generated:
2015_07_17-AM-09_12_38
Last ObjectModification:
2015_02_04-PM-05_08_25
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