Nuprl Definition : lconnects
lconnects(p;i;j) ==
lpath(p)
∧ ((||p|| = 0 ∈ ℤ)
⇒ (i = j ∈ Id))
∧ ((¬(||p|| = 0 ∈ ℤ))
⇒ ((i = source(hd(p)) ∈ Id) ∧ (j = destination(last(p)) ∈ Id)))
Definitions occuring in Statement :
lpath: lpath(p)
,
ldst: destination(l)
,
lsrc: source(l)
,
Id: Id
,
last: last(L)
,
hd: hd(l)
,
length: ||as||
,
not: ¬A
,
implies: P
⇒ Q
,
and: P ∧ Q
,
natural_number: $n
,
int: ℤ
,
equal: s = t ∈ T
FDL editor aliases :
lconnects
lconnects(p;i;j) ==
lpath(p)
\mwedge{} ((||p|| = 0) {}\mRightarrow{} (i = j))
\mwedge{} ((\mneg{}(||p|| = 0)) {}\mRightarrow{} ((i = source(hd(p))) \mwedge{} (j = destination(last(p)))))
Date html generated:
2015_07_17-AM-09_12_34
Last ObjectModification:
2012_02_25-AM-10_53_07
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