Theorems · Theorem · commutative algebra
iterateFrobenius_inj
∀ (R : Type u_1) [inst : CommRing R] [IsReduced R] (p n : ℕ) [inst_2 : ExpChar R p], Function.Injective ⇑(iterateFrobenius R p n)
- Defined in
- Mathlib.Algebra.CharP.Reduced
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- RingHomstatement · cited by 10,189
- sub_eq_zeroproof · cited by 407
- ExpCharstatement and proof · cited by 276
- IsReducedstatement and proof · cited by 98
- iterateFrobeniusstatement and proof · cited by 39
- IsReduced.eq_zeroproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- frobenius_injproof · cited by 5
- IsPurelyInseparable.injective_comp_algebraMapproof · cited by 3
- Polynomial.roots_expand_pow_map_iterateFrobenius_leproof · cited by 2
- ExpChar.pow_prime_pow_mul_eq_one_iffproof · cited by 0