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Theorems · Definition · field theory

Subfield.toAddSubgroup

{K : Type u} → [inst : DivisionRing K] → Subfield K → AddSubgroup K

The underlying AddSubgroup of a subfield.

Defined in
Mathlib.Algebra.Field.Subfield.Defs
Cited by
2 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext
Assumes
DivisionRing
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Subfield.subtype · cited by 16Subfield.subtypeSubfield.coe_toAddSubgroup · cited by 0Subfield.coe_toAddSubgroupSubfield.mem_toAddSubgroup · cited by 0Subfield.mem_toAddSubgroupAddSubgroup · cited by 3232AddSubgroupDivisionRing · cited by 1062DivisionRingSubfield · cited by 303SubfieldSubfield.toSubring · cited by 23Subfield.toSubringSubring.toAddSubgroup · cited by 11Subring.toAddSubgroupSubfield.toAddSubgroupCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.