Theorems · Theorem · ring theory
NonUnitalSubring.list_sum_mem
∀ {R : Type u} [inst : NonUnitalNonAssocRing R] (s : NonUnitalSubring R) {l : List R}, (∀ x ∈ l, x ∈ s) → l.sum ∈ sSum of a list of elements in a non-unital subring is in the non-unital subring.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 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.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NonUnitalNonAssocRingstatement and proof · cited by 354
- NonUnitalSubringstatement and proof · cited by 185
- list_sum_memproof · cited by 10
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.