Theorems · Theorem · combinatorics
Finset.card_inter_vadd_neg
∀ {G : Type u_1} [inst : AddGroup G] [inst_1 : DecidableEq G] (A B : Finset G) (x : G),
(A ∩ (x +ᵥ -B)).card = A.addConvolution B x- Cited by
- 2 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroupDecidableEq
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
- AddGroupstatement and proof · cited by 4,410
- Finset.cardstatement · cited by 2,327
- HVAdd.hVAddstatement · cited by 1,820
- neg_negproof · cited by 960
- Finset.vaddFinsetstatement · cited by 70
- Finset.negstatement · cited by 63
- Finset.addConvolutionstatement and proof · cited by 18
- Finset.card_inter_vaddproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- Finset.univ_addConvolutionproof · cited by 0
- Finset.addConvolution_univproof · cited by 0