Theorems · Theorem · field theory
frobeniusEquiv_symm_apply_frobenius
∀ (R : Type u_1) (p : ℕ) [inst : CommSemiring R] [inst_1 : ExpChar R p] [inst_2 : PerfectRing R p] (x : R), (frobeniusEquiv R p).symm ((frobenius R p) x) = x
- Defined in
- Mathlib.FieldTheory.Perfect
- Cited by
- 3 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
- frobeniusEquivstatement and proof · cited by 48
- RingEquiv.symm_apply_applyproof · cited by 30
Cited by3
Results whose statement or proof uses this declaration.
- frobeniusEquiv_symm_comp_frobeniusproof · cited by 1
- MonoidHom.map_iterate_frobeniusEquiv_symmproof · cited by 1
- coe_frobeniusEquiv_symm_comp_coe_frobeniusproof · cited by 0