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Theorems · Theorem · commutative algebra

RingHom.map_frobenius

∀ {R : Type u_1} [inst : CommSemiring R] {S : Type u_2} [inst_1 : CommSemiring S] (g : R →+* S) (p : ℕ)
  [inst_2 : ExpChar R p] [inst_3 : ExpChar S p] (x : R), g ((frobenius R p) x) = (frobenius S p) (g x)
Defined in
Mathlib.Algebra.CharP.Frobenius
Cited by
2 results in Mathlib
Foundations
Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiringCommSemiringExpCharExpChar
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

perfectField_of_perfectClosure_eq_bot · cited by 1perfectField_of_perfectCl…RingHom.frobenius_comm · cited by 0RingHom.frobenius_commDFunLike.coe · cited by 62936DFunLike.coeCommSemiring · cited by 10911CommSemiringRingHom · cited by 10189RingHommap_pow · cited by 503map_powExpChar · cited by 276ExpCharfrobenius · cited by 80frobeniusRingHom.map_frobeniusCITED BYCITES

Cites6

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Cited by2

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