Theorems · Theorem · group theory
commProb_eq_one_iff
∀ {M : Type u_1} [inst : Mul M] [Finite M] [h : Nonempty M], commProb M = 1 ↔ IsMulCommutative M- Defined in
- Mathlib.GroupTheory.CommutingProbability
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 93 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.
- Fintypeproof · cited by 7,736
- Set.Elemproof · cited by 7,166
- Set.ofPredproof · cited by 6,101
- Finitestatement and proof · cited by 3,029
- Fintype.cardproof · cited by 1,386
- Nat.cardproof · cited by 844
- Commuteproof · cited by 639
- sqproof · cited by 280
- Fintype.ofFiniteproof · cited by 255
- pow_ne_zeroproof · cited by 208
- Nat.card_eq_fintype_cardproof · cited by 200
- Nat.cast_powproof · cited by 131
Cited by1
Results whose statement or proof uses this declaration.
- inv_card_commutator_le_commProbproof · cited by 0