===== Subfield =====
==== Set ====
| @#55CCEE: context     | @#55CCEE: $\langle F,+,*\rangle \in \mathrm{field}(F) $ |

| @#FFBB00: definiendum | @#FFBB00: $\langle \hat F,\hat +,\hat*\rangle\in\mathrm{subfield}(\langle F,+,*\rangle) $ |

| @#55EE55: postulate   | @#55EE55: $ 0,1\in \hat F $ |

| $x,y\in \hat F$ |

| @#55EE55: postulate   | @#55EE55: $ x+y,\ x*y,\ x-y,\ x*y^{-1}\in \hat F $ |
| @#55EE55: postulate   | @#55EE55: $ x\ \hat +\ y,\ x\ \hat *\ y,\ x\ \hat -\ y,\ x*y^{\hat{-1}} \in \hat F $ |

==== Discussion ====
=== Reference ===
Wikipedia: [[http://en.wikipedia.org/wiki/Field_%28mathematics%29|Field]]
==== Parents ====
=== Context ===
[[Field]]