Theorems · Theorem · group theory
IteratedWreathProduct.card
∀ (G : Type u) (n : ℕ) [Finite G], Nat.card (IteratedWreathProduct G n) = Nat.card G ^ ∑ i ∈ Finset.range n, Nat.card G ^ i
- Defined in
- Mathlib.GroupTheory.RegularWreathProduct
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Finite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finset.sumstatement and proof · cited by 5,195
- Finitestatement and proof · cited by 3,029
- Finset.rangestatement and proof · cited by 1,341
- pow_zeroproof · cited by 1,094
- Nat.cardstatement and proof · cited by 844
- pow_succproof · cited by 374
- Nat.card_eq_fintype_cardproof · cited by 200
- Fintype.card_uniqueproof · cited by 59
- pow_mul'proof · cited by 20
- geom_sum_succproof · cited by 5
- IteratedWreathProductstatement and proof · cited by 4
- RegularWreathProduct.cardproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.