Theorems · Theorem · combinatorics
Finset.card_inv_mul_of_doubling_lt_three_halves
∀ {G : Type u_1} [inst : Group G] [inst_1 : DecidableEq G] {A : Finset G},
↑(A * A).card < 3 / 2 * ↑A.card → (A⁻¹ * A).card = (A * A).card- Cited by
- 1 results in Mathlib
- Foundations
- Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Groupstatement and proof · cited by 6,238
- Finset.cardstatement and proof · cited by 2,327
- MulOpposite.opproof · cited by 520
- Finset.mulstatement · cited by 155
- Finset.invstatement · cited by 70
- Finset.card_smul_finsetproof · cited by 12
- Finset.smul_inv_mul_opSMul_eq_mul_of_doubling_lt_three_halvesproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Finset.doubling_lt_three_halvesproof · cited by 0