let n be Ordinal; for T being connected TermOrder of n
for L being non trivial ZeroStr
for p being Polynomial of n,L holds HC (HM p,T),T = HC p,T
let O be connected TermOrder of n; for L being non trivial ZeroStr
for p being Polynomial of n,L holds HC (HM p,O),O = HC p,O
let L be non trivial ZeroStr ; for p being Polynomial of n,L holds HC (HM p,O),O = HC p,O
let p be Polynomial of n,L; HC (HM p,O),O = HC p,O
thus HC (HM p,O),O =
(HM p,O) . (HT p,O)
by Th26
.=
HC p,O
by Lm8
; verum