Theorems · Theorem · commutative algebra
Ideal.inertia_le_stabilizer
∀ {M : Type u_1} [inst : Group M] {R : Type u_4} [inst_1 : Ring R] (P : Ideal R) [inst_2 : MulSemiringAction M R],
Ideal.inertia M P ≤ MulAction.stabilizer M P- Defined in
- Mathlib.RingTheory.Ideal.Pointwise
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupRingMulSemiringAction
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- Groupstatement and proof · cited by 6,238
- Idealstatement and proof · cited by 4,748
- Subgroupstatement · cited by 3,593
- MulSemiringActionstatement and proof · cited by 423
- MulAction.stabilizerstatement · cited by 254
- add_sub_cancelproof · cited by 195
- SetLike.extproof · cited by 92
- Ideal.pointwiseDistribMulActionstatement · cited by 56
- InvMemClass.inv_memproof · cited by 52
- Ideal.inertiastatement and proof · cited by 21
- Ideal.mem_pointwise_smul_iff_inv_smul_memproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Ideal.card_stabilizer_eq_card_inertia_mul_finrankproof · cited by 2