===== Pullback functor =====
==== Functor ====
| @#55CCEE: context     | @#55CCEE: $A:\mathrm{Ob}_{\bf C}$  |
| @#55CCEE: context     | @#55CCEE: $f...$  |
| @#FFBB00: definiendum | @#FFBB00: $f^*$ |
| @#FF9944: definition  | @#FF9944: $...$ |

todo: 
https://proofwiki.org/wiki/Definition:Pullback_Functor

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Also called base change functor (particularly in geometry) or inverse image functor (particularly in ${\bf{Set}}$).

=== Reference ===
Wikipedia: [[https://proofwiki.org/wiki/Definition:Pullback_Functor|Pullback functor]]

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=== Element of ===
[[Functor]]