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successor_set [2014/03/27 10:57] nikolaj |
successor_set [2014/03/27 10:58] nikolaj |
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| === Theorems === | === Theorems === | ||
| ^ $ X\in S(X) $ ^ | ^ $ X\in S(X) $ ^ | ||
| - | ^ $ (S(X)=S(Y))\implies (X=Y) $ ^ | + | ^ $ (S(X)=S(Y))\Rightarrow (X=Y) $ ^ |
| - | ^ $ (Y\in S(X))\iff (Y=X\lor Y=\{X\}) $ ^ | + | ^ $ (Y\in S(X))\Leftrightarrow (Y=X\lor Y=\{X\}) $ ^ |
| ^ $ X\neq S(X) $ ^ | ^ $ X\neq S(X) $ ^ | ||
| === Reference === | === Reference === | ||
