feat(group_theory/perm/{cycles, cycle_type}): permutations are conjugate iff they have the same cycle type (#7335)
Slightly strengthens the induction principle `equiv.perm.cycle_induction_on`
Proves that two permutations are conjugate iff they have the same cycle type: `equiv.perm.is_conj_iff_cycle_type_eq`
Co-authored-by: Aaron Anderson <65780815+awainverse@users.noreply.github.com>
Co-authored-by: Thomas Browning <tb65536@uw.edu>