[Merged by Bors] - refactor(group_theory/commutator): Golf some proofs #12586
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This PR golfs the proofs of some lemmas in `commutator.lean`. I also renamed `bot_commutator` and `commutator_bot` to `commutator_bot_left` and `commutator_bot_right`, since "bot_commutator" didn't sound right to me (you would say "the commutator of H and K", not "H commutator K"), but I can revert to the old name if you want.
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This PR golfs the proofs of some lemmas in `commutator.lean`. I also renamed `bot_commutator` and `commutator_bot` to `commutator_bot_left` and `commutator_bot_right`, since "bot_commutator" didn't sound right to me (you would say "the commutator of H and K", not "H commutator K"), but I can revert to the old name if you want.
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This PR golfs the proofs of some lemmas in
commutator.lean.I also renamed
bot_commutatorandcommutator_bottocommutator_bot_leftandcommutator_bot_right, since "bot_commutator" didn't sound right to me (you would say "the commutator of H and K", not "H commutator K"), but I can revert to the old name if you want.