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Theorems · Theorem · field theory

iterateFrobeniusEquiv_def

∀ (R : Type u_1) (p n : ℕ) [inst : CommSemiring R] [inst_1 : ExpChar R p] [inst_2 : PerfectRing R p] (x : R),
  (iterateFrobeniusEquiv R p n) x = x ^ p ^ n
Defined in
Mathlib.FieldTheory.Perfect
Cited by
3 results in Mathlib
Foundations
Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiringExpCharPerfectRing
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Around this declaration

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

PerfectRing.liftAux_apply · cited by 2PerfectRing.liftAux_applyiterateFrobeniusEquiv_zero_apply · cited by 1iterateFrobeniusEquiv_zer…iterateFrobeniusEquiv_one_apply · cited by 1iterateFrobeniusEquiv_one…DFunLike.coe · cited by 62936DFunLike.coeCommSemiring · cited by 10911CommSemiringRingEquiv · cited by 1147RingEquivExpChar · cited by 276ExpCharPerfectRing · cited by 154PerfectRingiterateFrobeniusEquiv · cited by 28iterateFrobeniusEquiviterateFrobeniusEquiv_defCITED BYCITES

Cites6

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Cited by3

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