target:H(A,B)+H(A,C)+H(B,C) ≥ 2H(A,B,C).
condition:None
number:3

target:I(X,Y;Z) ≥ I(X;Y|Z)
condition: I(X;Y)=0
number:3

target: H(X,Y)≥H(X)+H(Y)
condition: I(X;Z|Y)=0,  I(X;Y|Z)=0, I(X;Z)=0
number:3

target:-I(Y;Z|X,T)≥0
condition: I(X;Z|Y)=0, I(X,Y;T|Z=0),I(Y;Z|T)=0
number:4

target: I(X;Y)+I(Z;T)≥I(X;Z)+I(X;T)
condition: I(X;Z,T|Y)=0
number:4

target:I(X;Z) ≥ H(T)
condition: H(T|X)=H(T), H(T|X,Y)=0,H(T|Y)=H(T),H(Y|Z)=0,H(T|Z)=0.
number:4

target:I(X;Z) ≥ H(T)
condition: H(T|X)=H(T), H(T|X,Y)=0,H(T|Y)=H(T),H(Y|Z)=0,H(T|Z)=0.
number:4

target: H(X,Z,T)-H(X,Y,Z,T)≥0
condition: H(T|X)=H(T), H(T|X,Y)=0,H(T|Y)=H(T),H(Y|Z)=0,H(T|Z)=0.
number:4

target: H(X,Y)+H(X,Y,Z,T)-H(X,Y,Z)-H(X,Y,T)≥0
condition: H(T|X)=H(T), H(T|X,Y)=0,H(T|Y)=H(T),H(Y|Z)=0,H(T|Z)=0.
number:4

target:H(Y,Z)-H(Y)-H(Z)≥0
condition:I(X;Z|Y)=0, I(X,Y;T|Z)=0,I(Y;Z|T)=0,I(Y;Z|X)=0,I(X;T)=0
number:4

target: I(A;C)+I(B;D)-I(A,B;C,D)≥0
condition:H(C,D|A,D)=H(A|C)+H(B,D)
number:4

target: H(A,B,C,D)-H(A)-H(B)-H(C)-H(D)≥0
condition:I(A;B,C,D)=0,I(B;C,D|A)=0,I(C,D|A,B)=0
number:4

target: I(A,B;C,D)-I(A;C)-I(B;D)≥0
condition:I(X1;X2)=0
number:4


target: H(U|X)+H(V|X) - H(Y)-H(U,V|X,Y)≥0
condition:H(X|U)=0,H(X|V)=0,H(X|W)=0,H(Y|U,V)=0,H(Y|U,W)=0,H(Y|V,W)=0,H(Z|U,V,W)=0
number:6

target: H(U)-H(X)≥0
condition:H(X|U)=0,H(X|V)=0,H(X|W)=0,H(Y|U,V)=0,H(Y|U,W)=0,H(Y|V,W)=0,H(Z|U,V,W)=0
number:6

target: H(U)+H(V)-2H(X)-2H(Y)-H(U,V|X,Y)≥0
condition:H(X|U)=0,H(X|V)=0,H(X|W)=0,H(Y|U,V)=0,H(Y|U,W)=0,H(Y|V,W)=0,H(Z|U,V,W)=0
number:6

target: H(U)+H(V)+H(W)-3H(X)-1.5H(Y)-H(Z)≥0
condition:H(X|U)=0,H(X|V)=0,H(X|W)=0,H(Y|U,V)=0,H(Y|U,W)=0,H(Y|V,W)=0,H(Z|U,V,W)=0
number:6

target:I(U;X)+I(V;X,Y|U)+I(R;X,Y,Z|U,V)-I(W;U,V,R)≥0
condition:H(X|W)=0,H(Y|W,U)=0,H(Z|W,U,V)=0,I(W;U|X)=0，I(W;V|X,Y,U)=0, I(W;R|X,Y,Z,U,V)=0
number:7

target:I(U;X)+I(V;X,Y|U)+I(R;X,Y,Z|U,V)-H(W)≥0
condition:H(X|W)=0,H(Y|W,U)=0,H(Z|W,U,V)=0,I(W;U|X)=0，I(W;V|X,Y,U)=0, I(W;R|X,Y,Z,U,V)=0,H(W|U,V,R)=0
number:7

target:H(W)-I(U;X)-I(V;X,Y|U)-I(R;X,Y,Z|U,V)≥0
condition:H(X|W)=0,H(Y|W,U)=0,H(Z|W,U,V)=0,I(W;U|X)=0，I(W;V|X,Y,U)=0, I(W;R|X,Y,Z,U,V)=0,H(W|U,V,R)=0
number:7