Theorems · Theorem · field theory
frobenius_apply_frobeniusEquiv_symm
∀ (R : Type u_1) (p : ℕ) [inst : CommSemiring R] [inst_1 : ExpChar R p] [inst_2 : PerfectRing R p] (x : R), (frobenius R p) ((frobeniusEquiv R p).symm x) = x
- Defined in
- Mathlib.FieldTheory.Perfect
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- RingEquivstatement · cited by 1,147
- RingEquiv.symmstatement · cited by 567
- ExpCharstatement and proof · cited by 276
- PerfectRingstatement and proof · cited by 154
- frobeniusstatement · cited by 80
- RingEquiv.apply_symm_applyproof · cited by 53
- frobeniusEquivstatement and proof · cited by 48
Cited by6
Results whose statement or proof uses this declaration.
- frobeniusEquiv_symm_pow_pproof · cited by 2
- Polynomial.roots_expand_map_frobeniusproof · cited by 1
- coe_frobenius_comp_coe_frobeniusEquiv_symmproof · cited by 1
- frobenius_comp_frobeniusEquiv_symmproof · cited by 1
- MonoidHom.map_frobeniusEquiv_symmproof · cited by 0
- RingHom.map_frobeniusEquiv_symmproof · cited by 0