Theorems · Theorem · ring theory
TwoSidedIdeal.listSum_mem
∀ {R : Type u_1} [inst : NonUnitalNonAssocRing R] (I : TwoSidedIdeal R) {ι : Type u_2} (l : List ι) (f : ι → R),
(∀ x ∈ l, f x ∈ I) → (List.map f l).sum ∈ I- Cited by
- 0 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Quot.sound
- Assumes
- NonUnitalNonAssocRing
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- NonUnitalNonAssocRingstatement and proof · cited by 354
- TwoSidedIdealstatement and proof · cited by 151
- TwoSidedIdeal.ringConproof · cited by 40
- TwoSidedIdeal.mem_iffproof · cited by 9
- RingCon.listSumproof · cited by 1
- List.sum_map_zeroproof · cited by 1
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