===== Order-reflecting function =====
==== Set ====
| @#55CCEE: context     | @#55CCEE: $X,Y$ |
| @#55CCEE: context     | @#55CCEE: $ \le_X,\le_Y $ | @#55CCEE: context     | @#55CCEE: ...non-strict partial order |

| @#FFBB00: definiendum | @#FFBB00: $ f\in\mathrm{it} $ |

| $f:X\to Y$ |
| $x,y\in X$ |

| @#55EE55: postulate   | @#55EE55: $ f(x)\le_Y f(y)\implies x\le_X y $ |

==== Discussion ====
=== Reference ===
Wikipedia: [[http://en.wikipedia.org/wiki/Monotone_function|Monotone function]]
==== Parents ====
=== Refinement of ===
[[Function]]
=== Context ===
[[Non-strict partial order]]