Theorems · Theorem · group theory
card_dvd_exponent_pow_rank
∀ (G : Type u_1) [inst : CommGroup G] [inst_1 : Group.FG G], Nat.card G ∣ Monoid.exponent G ^ Group.rank G
- Defined in
- Mathlib.GroupTheory.Schreier
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites34
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsetproof · cited by 13,712
- Top.topproof · cited by 9,680
- SetLike.coeproof · cited by 8,199
- MonoidHomproof · cited by 3,629
- Subgroupproof · cited by 3,593
- Finset.univproof · cited by 3,473
- Finset.cardproof · cited by 2,327
- mul_commproof · cited by 2,262
- CommGroupstatement and proof · cited by 990
- Nat.cardstatement and proof · cited by 844
- MonoidHom.rangeproof · cited by 314
Cited by1
Results whose statement or proof uses this declaration.
- card_dvd_exponent_pow_rank'proof · cited by 1