Theorems · Theorem · number theory
FiniteField.frobeniusAlgEquiv_symm_apply
∀ (K : Type u_1) (R : Type u_2) [inst : Field K] [inst_1 : Fintype K] [inst_2 : CommRing R] [inst_3 : Algebra K R] (p : ℕ) [inst_4 : ExpChar R p] [inst_5 : PerfectRing R p] (b : R), (FiniteField.frobeniusAlgEquiv K R p).symm b = Function.surjInv ⋯ b
- Defined in
- Mathlib.FieldTheory.Finite.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- RingHomstatement · cited by 10,189
- Fintypestatement and proof · cited by 7,736
- Fieldstatement and proof · cited by 7,404
- AlgHomstatement · cited by 3,236
- AlgEquivstatement · cited by 1,681
- RingHomClass.toRingHomstatement · cited by 746
- AlgEquiv.symmstatement and proof · cited by 615
- ExpCharstatement and proof · cited by 276
- PerfectRingstatement and proof · cited by 154
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