Theorems · Theorem · group theory
Finset.card_inv
∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : InvolutiveInv α] (s : Finset α), s⁻¹.card = s.card- Cited by
- 14 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqInvolutiveInv
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Finset.cardstatement · cited by 2,327
- InvolutiveInvstatement and proof · cited by 102
- Finset.invstatement · cited by 70
- Finset.card_image_of_injectiveproof · cited by 41
- inv_injectiveproof · cited by 17
Cited by14
Results whose statement or proof uses this declaration.
- Finset.ruzsa_triangle_inequality_div_mul_mulproof · cited by 2
- Finset.mul_inv_eq_inv_mul_of_doubling_lt_twoproof · cited by 2
- Finset.ruzsa_triangle_inequality_mul_div_divproof · cited by 2
- Finset.pluennecke_ruzsa_inequality_pow_div_pow_divproof · cited by 1
- Finset.ruzsa_triangle_inequality_invMul_mul_mulproof · cited by 1
- Finset.ruzsa_triangle_inequality_mulInv_mul_mulproof · cited by 1
- cauchy_davenport_minOrder_mulproof · cited by 1
- Finset.small_alternating_pow_of_small_triplingproof · cited by 0
- Finset.univ_convolutionproof · cited by 0
- Finset.doubling_lt_golden_ratioproof · cited by 0
- Finset.dens_invproof · cited by 0
- Finset.mulConst_inv_leftproof · cited by 0