Theorems · Theorem · field theory
injective_frobenius
∀ (R : Type u_1) (p : ℕ) [inst : CommSemiring R] [inst_1 : ExpChar R p] [PerfectRing R p], Function.Injective ⇑(frobenius R p)
- Defined in
- Mathlib.FieldTheory.Perfect
- Cited by
- 1 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.
Cites7
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
- ExpCharstatement and proof · cited by 276
- PerfectRingstatement and proof · cited by 154
- frobeniusstatement · cited by 80
- bijective_frobeniusproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- PerfectRing.pNilradical_eq_botproof · cited by 1