Theorems · Theorem · group theory
commProb_eq_zero_of_infinite
∀ (M : Type u_1) [inst : Mul M] [Infinite M], commProb M = 0
- Defined in
- Mathlib.GroupTheory.CommutingProbability
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Infinitestatement and proof · cited by 352
- Nat.card_eq_zero_of_infiniteproof · cited by 46
- Nat.cast_eq_zeroproof · cited by 18
- commProbstatement · cited by 16
- div_eq_zero_iffproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- DihedralGroup.commProb_reciprocalproof · cited by 0