Commit 2023-03-21 13:15 a79e4140

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feat: port FieldTheory.PerfectClosure (#2879)

Estimated changes

added theorem MonoidHom.map_pthRoot
added theorem PerfectClosure.R.sound
added inductive PerfectClosure.R
added theorem PerfectClosure.eq_iff'
added theorem PerfectClosure.eq_iff
added theorem PerfectClosure.mk_inv
added theorem PerfectClosure.mk_zero
added theorem PerfectClosure.neg_mk
added theorem PerfectClosure.one_def
added def PerfectClosure
added theorem RingHom.map_pthRoot
added theorem coe_frobeniusEquiv
added theorem eq_pthRoot_iff
added def frobeniusEquiv
added theorem frobenius_pthRoot
added theorem injective_pow_p
added def pthRoot
added theorem pthRoot_eq_iff
added theorem pthRoot_frobenius
added theorem pthRoot_pow_p'
added theorem pthRoot_pow_p