Draft: Use polynomials to finish off the remainder of the proof#60
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mizlan wants to merge 20 commits intokylechui:mainfrom
Open
Draft: Use polynomials to finish off the remainder of the proof#60mizlan wants to merge 20 commits intokylechui:mainfrom
mizlan wants to merge 20 commits intokylechui:mainfrom
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…d with a unitary - Lemma char_poly_similarity: Conjugating a matrix with a unitary preserves the characteristic polynomial - Lemma scaled_identity_eq_scalar_times_identity: proves that scaled_identity is a complex constant times identity - Lemma WF_scaled_identity: shows well-formedness of scaled_identity matrices
- modify char_poly definition to match math writeup - modify statement of perm_eigenvalues
Must weaken "equals" to "Peq".
It turns out the base case is difficult to prove and may require more mathematical investigation.
The new 1.3 is the old 1.2, we needed another helper lemma.
There are still small unproved subgoals
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Blocked on the base case of Lemma 1.2, since I think we need more number theory.