Theorems · Theorem · field theory
Subfield.list_sum_mem
∀ {K : Type u} [inst : DivisionRing K] (s : Subfield K) {l : List K}, (∀ x ∈ l, x ∈ s) → l.sum ∈ sSum of a list of elements in a subfield is in the subfield.
- Defined in
- Mathlib.Algebra.Field.Subfield.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRing
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- DivisionRingstatement and proof · cited by 1,062
- Subfieldstatement and proof · cited by 303
- list_sum_memproof · cited by 10
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