People who cycle to work

Thing that irritates me about cycling to work is how the squaw do you keep a shirt flat in your satchel? Trousers work fine but shirts come out making you look like a domestic incompetent. Someone needs to invent a device that you can pack an ironed shirt into and then put it into a satchel. How hard can that be?

In the meantime, anyone got any clever ideas for avoiding bag-related creases?

Knock off this idea.