Theorems · Theorem · commutative algebra
Algebra.IsInvariant.isIntegral
∀ (A : Type u_1) (B : Type u_2) (G : Type u_3) [inst : CommRing A] [inst_1 : CommRing B] [inst_2 : Algebra A B] [inst_3 : Group G] [inst_4 : MulSemiringAction G B] [Algebra.IsInvariant A B G] [Finite G], Algebra.IsIntegral A B
- Defined in
- Mathlib.RingTheory.Invariant.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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
- Fintypeproof · cited by 7,736
- Groupstatement and proof · cited by 6,238
- Polynomialproof · cited by 5,681
- Algebra.algebraMapproof · cited by 4,706
- Finitestatement and proof · cited by 3,029
- Polynomial.natDegreeproof · cited by 1,105
- Polynomial.mapproof · cited by 806
- Polynomial.evalproof · cited by 796
- Polynomial.Monicproof · cited by 461
- MulSemiringActionstatement and proof · cited by 423
Cited by6
Results whose statement or proof uses this declaration.
- Ideal.IsFractionRing.normalproof · cited by 3
- IsGaloisGroup.to_isFractionRingproof · cited by 1
- IsArithFrobAt.exists_of_isInvariantproof · cited by 1
- IsGaloisGroup.iff_isFractionRingproof · cited by 0
- IsFractionRing.isInvariantproof · cited by 0
- Ideal.ncard_primesOver_mul_ncard_primesOverproof · cited by 0