Theorems · Theorem · ring theory
conjneg_sum
∀ {ι : Type u_1} {G : Type u_2} {R : Type u_3} [inst : AddGroup G] [inst_1 : CommSemiring R] [inst_2 : StarRing R]
(s : Finset ι) (f : ι → G → R), conjneg (∑ i ∈ s, f i) = ∑ i ∈ s, conjneg (f i)- Defined in
- Mathlib.Algebra.Star.Conjneg
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroupCommSemiringStarRing
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsetstatement and proof · cited by 13,712
- CommSemiringstatement and proof · cited by 10,911
- Finset.sumstatement and proof · cited by 5,195
- AddGroupstatement and proof · cited by 4,410
- StarRingstatement and proof · cited by 1,686
- starRingEndproof · cited by 671
- map_sumproof · cited by 455
- Finset.sum_applyproof · cited by 234
- conjnegstatement and proof · cited by 28
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