Nuprl Definition : polyform-lead-nonzero
polyform-lead-nonzero(n;p) ==  0 < n 
⇒ 0 < ||p|| 
⇒ (¬↑poly-zero(n - 1;hd(p)))
Definitions occuring in Statement : 
poly-zero: poly-zero(n;p)
, 
hd: hd(l)
, 
length: ||as||
, 
assert: ↑b
, 
less_than: a < b
, 
not: ¬A
, 
implies: P 
⇒ Q
, 
subtract: n - m
, 
natural_number: $n
Definitions occuring in definition : 
implies: P 
⇒ Q
, 
less_than: a < b
, 
length: ||as||
, 
not: ¬A
, 
assert: ↑b
, 
poly-zero: poly-zero(n;p)
, 
subtract: n - m
, 
natural_number: $n
, 
hd: hd(l)
FDL editor aliases : 
polyform-lead-nonzero
Latex:
polyform-lead-nonzero(n;p)  ==    0  <  n  {}\mRightarrow{}  0  <  ||p||  {}\mRightarrow{}  (\mneg{}\muparrow{}poly-zero(n  -  1;hd(p)))
Date html generated:
2017_09_29-PM-05_59_46
Last ObjectModification:
2017_04_26-PM-02_04_25
Theory : integer!polynomials
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