let S be non empty non void ManySortedSign ; for V being non-empty ManySortedSet of the carrier of S
for s being SortSymbol of S
for v being Element of V . s holds root-tree [v,s] is Term of S,V
let V be non-empty ManySortedSet of the carrier of S; for s being SortSymbol of S
for v being Element of V . s holds root-tree [v,s] is Term of S,V
let s be SortSymbol of S; for v being Element of V . s holds root-tree [v,s] is Term of S,V
let v be Element of V . s; root-tree [v,s] is Term of S,V
reconsider vs = [v,s] as Terminal of (DTConMSA V) by MSAFREE:7;
root-tree vs in TS (DTConMSA V)
;
hence
root-tree [v,s] is Term of S,V
; verum