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Rename new lemma, compress proofs of new lemmas
Rename cardinal_3 -> cardinal_Add_In Compress and structure proofs for both cardinal_Add_In and Add_transpose_neqkey using feedback from the PR (coq#12096). This includes * using commas to simplify multiple lines of rewrites, especially when using add_eq_o and add_neq_o repeatedly. * using `now` and `auto` more to solve trivial goals instead of ending proofs with trivial `reflexivity` or `assumption`. * split subgoals into bulleted points where relevant, as well as indent subgoals for enough/assert.
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