∀[r:CRng]. (r↓xmn ∈ AbMon)
{ ((D 0
THENM AddAllProperties 1
) THENA Auto) }
1. r : CRng
2. Assoc(|r|;+r)
3. Ident(|r|;+r;0)
4. Inverse(|r|;+r;0;-r)
5. Assoc(|r|;*)
6. Comm(|r|;*)
7. Ident(|r|;*;1)
8. BiLinear(|r|;+r;*)
⊢ r↓xmn ∈ AbMon