Theorems · Theorem · combinatorics
Finset.card_add_neg_eq_addConvolution_neg
∀ {G : Type u_1} [inst : AddGroup G] [inst_1 : DecidableEq G] (A B : Finset G) (x : G),
{ab ∈ A ×ˢ B | ab.1 + -ab.2 = x}.card = A.addConvolution (-B) x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroupDecidableEq
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Cites15
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
- Set.ofPredproof · cited by 6,101
- AddGroupstatement and proof · cited by 4,410
- Finset.cardstatement · cited by 2,327
- SProd.sprodstatement and proof · cited by 1,750
- neg_negproof · cited by 960
- Finset.filterstatement · cited by 949
- Prod.mk.etaproof · cited by 84
- Finset.negstatement · cited by 63
- Finset.coe_filterproof · cited by 49
- Finset.mem_productproof · cited by 48
- Set.RightInvOnproof · cited by 47
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