Theorems · Theorem · number theory
IsArithFrobAt.conj
∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] {G : Type u_3}
[inst_3 : Group G] [inst_4 : MulSemiringAction G S] [inst_5 : SMulCommClass G R S] {Q : Ideal S} {σ : G},
IsArithFrobAt R σ Q → ∀ (τ : G), IsArithFrobAt R (τ * σ * τ⁻¹) (τ • Q)- Defined in
- Mathlib.RingTheory.Frobenius
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites42
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Semiringproof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- RingHomproof · cited by 10,189
- Groupstatement and proof · cited by 6,238
- Idealstatement and proof · cited by 4,748
- Algebra.algebraMapproof · cited by 4,706
- FunLikeproof · cited by 2,560
- HasQuotient.Quotientproof · cited by 2,301
- SMulCommClassstatement and proof · cited by 1,927
- RingHom.compproof · cited by 899
Cited by1
Results whose statement or proof uses this declaration.
- IsArithFrobAt.exists_primesOver_isConjproof · cited by 2