Theorems · Theorem · field theory
iterateFrobeniusEquiv_add_apply
∀ (R : Type u_1) (p m n : ℕ) [inst : CommSemiring R] [inst_1 : ExpChar R p] [inst_2 : PerfectRing R p] (x : R), (iterateFrobeniusEquiv R p (m + n)) x = (iterateFrobeniusEquiv R p m) ((iterateFrobeniusEquiv R p n) 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.
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
- RingEquivstatement · cited by 1,147
- ExpCharstatement and proof · cited by 276
- PerfectRingstatement and proof · cited by 154
- iterateFrobeniusEquivstatement · cited by 28
- iterateFrobenius_add_applyproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- PerfectRing.liftAux_applyproof · cited by 2
- iterateFrobeniusEquiv_symm_add_applyproof · cited by 1
- iterateFrobeniusEquiv_addproof · cited by 0