:: deftheorem Def11 defines vf-free AOFA_A00:def 11 :
for S being non empty non void ManySortedSign
for X being non-empty ManySortedSet of the carrier of S
for A being non-empty b₂,b₁ -terms VarMSAlgebra over S holds
( A is vf-free iff for s, r being SortSymbol of S
for t being Element of A,s holds (vf t) . r = { (t | p) where p is Element of dom t : ((t | p) . {}) `2 = r } );