Theorems · Theorem · field theory
Subfield.multiset_sum_mem
∀ {K : Type u} [inst : DivisionRing K] (s : Subfield K) (m : Multiset K), (∀ a ∈ m, a ∈ s) → m.sum ∈ sSum of a multiset of elements in a Subfield is in the Subfield.
- Defined in
- Mathlib.Algebra.Field.Subfield.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRing
Around this declaration
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multisetstatement and proof · cited by 2,627
- DivisionRingstatement and proof · cited by 1,062
- Multiset.sumstatement · cited by 388
- Subfieldstatement and proof · cited by 303
- multiset_sum_memproof · cited by 10
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