Theorems · Theorem · number theory
IsArithFrobAt.arithFrobAt
∀ (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) [inst_6 : Finite G]
[inst_7 : Algebra.IsInvariant R S G] [inst_8 : Q.IsPrime] [inst_9 : Finite (S ⧸ Q)],
IsArithFrobAt R (arithFrobAt R G Q) Q- Defined in
- Mathlib.RingTheory.Frobenius
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Groupstatement and proof · cited by 6,238
- Idealstatement and proof · cited by 4,748
- Finitestatement and proof · cited by 3,029
- HasQuotient.Quotientstatement and proof · cited by 2,301
- SMulCommClassstatement and proof · cited by 1,927
- Ideal.IsPrimestatement and proof · cited by 827
- MulSemiringActionstatement and proof · cited by 423
- Ideal.underproof · cited by 170
- Algebra.IsInvariantstatement and proof · cited by 28
- IsArithFrobAtstatement · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- IsArithFrobAt.arithFrobAt_mem_stabilizerproof · cited by 0