Theorems · Theorem · combinatorics
Finset.addConvolution_op_vadd_eq_addConvolution_add_neg
∀ {G : Type u_1} [inst : AddGroup G] [inst_1 : DecidableEq G] (A B : Finset G) (s x : G),
A.addConvolution (AddOpposite.op s +ᵥ B) x = A.addConvolution B (x + -s)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroupDecidableEq
Around this declaration
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Cites12
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.cardproof · cited by 2,327
- HVAdd.hVAddstatement and proof · cited by 1,820
- neg_negproof · cited by 960
- AddOppositestatement · cited by 452
- AddOpposite.opstatement and proof · cited by 192
- Finset.vaddFinsetstatement · cited by 70
- vadd_vaddproof · cited by 40
- Finset.addConvolutionstatement and proof · cited by 18
- Finset.card_inter_vaddproof · cited by 5
- Finset.neg_op_vadd_finset_distribproof · cited by 1
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