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Random collection of lemmas

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Closed Michael Sammler requested to merge msammler/list into master Mar 24, 2020
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These are some lemmas which I need in my development. @robbertkrebbers and I talked about some of them today. I will make another MR with the rotate function. Let me know what you think and which lemmas seem useful. Also better proofs are always appreciated.

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Source branch: msammler/list