Theorems · Theorem · field theory
Subfield.mem_toAddSubgroup
∀ {K : Type u} [inst : DivisionRing K] {s : Subfield K} {x : K}, x ∈ s.toAddSubgroup ↔ x ∈ s- Defined in
- Mathlib.Algebra.Field.Subfield.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 50 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRing
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddSubgroupstatement · cited by 3,232
- DivisionRingstatement and proof · cited by 1,062
- Subfieldstatement and proof · cited by 303
- Subfield.toAddSubgroupstatement · cited by 2
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