Theorems · Theorem · combinatorics
Finset.convolution_op_smul_eq_convolution_mul_inv
∀ {G : Type u_1} [inst : Group G] [inst_1 : DecidableEq G] (A B : Finset G) (s x : G),
A.convolution (MulOpposite.op s • B) x = A.convolution B (x * s⁻¹)- 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.
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
- Finset.cardproof · cited by 2,327
- MulOppositestatement · cited by 1,135
- MulOpposite.opstatement and proof · cited by 520
- inv_invproof · cited by 494
- smul_smulproof · cited by 360
- Finset.smulFinsetstatement · cited by 101
- Finset.convolutionstatement and proof · cited by 20
- Finset.card_inter_smulproof · cited by 5
- Finset.inv_op_smul_finset_distribproof · cited by 1
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