Specification wellfounded-TL

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enrich
   wellfounded, 
   nat-basic
with
   variables 
       a : Elem;
       A : Elem flexible;
       N : Nat flexible;
   
   
   theorems 
      not-always-decrease: □ ⟨a := A⟩ (◇ A ≪ a) ⊦ ;
      
      always-noincrease-stable: □ (A'' ≪ A ∨ A'' = A) ⊦ ◇ □ A'' = A;
   
   
end enrich