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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