Theorems · Theorem · combinatorics
Finset.card_inter_smul
∀ {G : Type u_1} [inst : Group G] [inst_1 : DecidableEq G] (A B : Finset G) (x : G),
(A ∩ x • B).card = A.convolution B⁻¹ x- Cited by
- 5 results in Mathlib
- Foundations
- Depth 81 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.
Cites11
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
- one_mulproof · cited by 2,841
- Finset.cardstatement and proof · cited by 2,327
- one_smulproof · cited by 1,374
- inv_oneproof · cited by 301
- Finset.smulFinsetstatement · cited by 101
- Finset.invstatement · cited by 70
- Finset.convolutionstatement · cited by 20
- Finset.convolution.congr_simpproof · cited by 4
- Finset.card_smul_inter_smulproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- Finset.convolution_le_card_leftproof · cited by 1
- Finset.convolution_invproof · cited by 1
- Finset.convolution_op_smul_eq_convolution_mul_invproof · cited by 0
- Finset.op_smul_convolution_eq_convolution_smulproof · cited by 0
- Finset.card_inter_smul_invproof · cited by 0