Theorems · Theorem · group theory
Subgroup.commProb_subgroup_le
∀ {G : Type u_2} [inst : Group G] [Finite G] (H : Subgroup G), commProb ↥H ≤ commProb G * ↑H.index ^ 2- Defined in
- Mathlib.GroupTheory.CommutingProbability
- Cited by
- 0 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.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Finitestatement and proof · cited by 3,029
- mul_commproof · cited by 2,262
- mul_assocproof · cited by 1,667
- LT.lt.ne'proof · cited by 1,417
- Nat.cardproof · cited by 844
- Commuteproof · cited by 639
- Nat.cast_mulproof · cited by 309
- pow_posproof · cited by 292
- mul_powproof · cited by 220
- pow_ne_zeroproof · cited by 208
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.