Theorems · Theorem · field theory
IntermediateField.list_sum_mem
∀ {K : Type u_1} {L : Type u_2} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] (S : IntermediateField K L)
{l : List L}, (∀ x ∈ l, x ∈ S) → l.sum ∈ SSum of a list of elements in an intermediate field is in the intermediate field.
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- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
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- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- IntermediateFieldstatement and proof · cited by 988
- list_sum_memproof · cited by 10
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