00100 xεy⊃S(x); 00200 (S(x)⊃(zεx ≡ zεy))⊃x=y; 00300 S(x) ⊃(∀y(S(y)⊃∃z(S(z)∧∀u(S(u)⊃(uεz ≡(u=x ∨u=y)))))); 00400 ¬O(x)⊃ ∃y(S(y)∧yεx∧y/x); 00500 O(x) ≡ ∀y(S(y)⊃¬yεx); 00600 x/y ≡ ∀z(S(z) ⊃¬(zεx ∧ zεy)); ; 00700 ; 00800 S(x) ⊃ ¬xεx; 00900