Theorems · Theorem · group theory
card_commutator_closureCommutatorRepresentatives
∀ {G : Type u_1} [inst : Group G],
Nat.card ↥(commutator ↥(closureCommutatorRepresentatives G)) = Nat.card ↥(commutator G)- Defined in
- Mathlib.GroupTheory.Commutator.Finite
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- SetLike.coeproof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Nat.cardstatement and proof · cited by 844
- Subgroup.mapproof · cited by 301
- Subgroup.closureproof · cited by 196
- Subgroup.subtypeproof · cited by 185
- Nat.card_congrproof · cited by 133
- commutatorstatement and proof · cited by 56
- commutatorSetproof · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.card_commutator_le_of_finite_commutatorSetproof · cited by 0