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{\displaystyle F^{S}=\forall y\forall z[R(y,f_{x}(y))\wedge \neg S(f_{x}(y),z)].}
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{\displaystyle F:=\forall y\exists x[R(y,x)\wedge \neg \exists zS(x,z)]}
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{\displaystyle F:=\forall y\exists x[R(y,x)\wedge \forall z\neg S(x,z)]}
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{\displaystyle F:=\forall y\exists x\forall z[R(y,x)\wedge \neg S(x,z)]}
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{\displaystyle F:=\forall y\forall z[R(y,f_{x}(y))\wedge \neg S(f_{x}(y),z)]}
79.212.0.144 (talk ) 18:22, 12 April 2016 (UTC)Reply
![{\displaystyle F^{S}=\forall y\forall z[R(y,f_{x}(y))\wedge \neg S(f_{x}(y),z)].}](https://wikimedia.org/api/rest_v1/media/math/render/svg/03ae9bad424dbb52935cb471d8edf598f0849dd8)
![{\displaystyle F:=\forall y\exists x[R(y,x)\wedge \neg \exists zS(x,z)]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7d3321fbf9a9a846d204f2c88df22a227925a749)
![{\displaystyle F:=\forall y\exists x[R(y,x)\wedge \forall z\neg S(x,z)]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b32475b29128f8e682f726b80e7093121e512e30)
![{\displaystyle F:=\forall y\exists x\forall z[R(y,x)\wedge \neg S(x,z)]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/1b36dba31d29fcab245dcc8510aec2f2ae9559c3)
![{\displaystyle F:=\forall y\forall z[R(y,f_{x}(y))\wedge \neg S(f_{x}(y),z)]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ee3e27fc2d314796d8f0f58395b1f4ae92d75ea8)