HENCE: Some mysterious mathematical magic occurs that gets us from the previous step to this one. Don’t ask me to explain it, I’ve no idea how it worked either.

TRIVIAL: If I have to explain this to you, you’re probably in the wrong class.

CLEARLY: I can’t be bothered to write out the next few steps, so I’ll leave you to work them out.

RECALL: I shouldn’t have to remind you about this, but you’ve slept since the last lesson haven’t you? OK, let’s go over it again…

CHECK FOR YOURSELF: I’ve forgotten this part of the proof, so I’m hoping that you can puzzle it out for yourself without asking me any awkward questions.

SIMILARLY: At least one line of this proof is the same as the last one that we worked through. Maybe.

BRIEFLY: The bell for the end of the lesson is about to go, so I’ll talk too fast and miss out most of the steps.

LET’S TALK THROUGH IT: I’ve no idea how to solve that problem either, but I’ll try to muddle through it with you.

FINALLY: Only fourteen more steps to go…

Q.E.D. : Quite Easily Done/Thank Darwin it’s finished!

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