Rank | Theorem | Name |
4 | Thm* ( A:Type, R:(A A Prop).
Thm* (( A) & (Trans x,y:A. R(x;y)) & ( x:A. y:A. R(x;y))
Thm* (& ( x:A. R(x;x))
Thm* (& Finite(A)) | [no_finite_model] |
cites the following: |
0 | Thm* R:(A A Prop).
Thm* ( A) & (Trans x,y:A. R(x;y)) & ( x:A. y:A. R(x;y))
Thm* 
Thm* ( k: . f:( k A). i,j: k. i<j  R(f(i);f(j))) | [no_finite_model_lemma] |
3 | Thm* m,k: , f:( m  k). k<m  ( x,y: m. x y & f(x) = f(y)) | [pigeon_hole] |