Theorems · Theorem · combinatorics
Finset.card_inter_smul_inv
∀ {G : Type u_1} [inst : Group G] [inst_1 : DecidableEq G] (A B : Finset G) (x : G),
(A ∩ x • B⁻¹).card = A.convolution B x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 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.
Cites9
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 · cited by 2,327
- inv_invproof · cited by 494
- Finset.smulFinsetstatement · cited by 101
- Finset.invstatement · cited by 70
- Finset.convolutionstatement and proof · cited by 20
- Finset.card_inter_smulproof · cited by 5
- Finset.convolution.congr_simpproof · cited by 4
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