Theorems · Theorem · ring theory
TwoSidedIdeal.finsetSum_mem
∀ {R : Type u_1} [inst : NonUnitalNonAssocRing R] (I : TwoSidedIdeal R) {ι : Type u_2} (s : Finset ι) (f : ι → R),
(∀ x ∈ s, f x ∈ I) → s.sum f ∈ I- Cited by
- 2 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalNonAssocRing
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.
- DFunLike.coeproof · cited by 62,936
- Finsetstatement and proof · cited by 13,712
- Finset.sumstatement and proof · cited by 5,195
- NonUnitalNonAssocRingstatement and proof · cited by 354
- Finset.sum_const_zeroproof · cited by 219
- TwoSidedIdealstatement and proof · cited by 151
- TwoSidedIdeal.ringConproof · cited by 40
- TwoSidedIdeal.mem_iffproof · cited by 9
- RingCon.finsetSumproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- TwoSidedIdeal.dfinsuppSum_memproof · cited by 0
- TwoSidedIdeal.finsuppSum_memproof · cited by 0