AbsoluteGaloisGroup

📁 Source: Mathlib/FieldTheory/AbsoluteGaloisGroup.lean

Statistics

Metric	Count
Definitions absoluteGaloisGroup, absoluteGaloisGroupAbelianization, instGroupAbsoluteGaloisGroup, instTopologicalSpaceAbsoluteGaloisGroup	4
Theorems commutator_closure_isNormal, instIsTopologicalGroupAbsoluteGaloisGroup	2
Total	6

Field

Definitions

Name	Category	Theorems
absoluteGaloisGroup 📖	CompOp	2 math math: absoluteGaloisGroup.commutator_closure_isNormal, instIsTopologicalGroupAbsoluteGaloisGroup
absoluteGaloisGroupAbelianization 📖	CompOp	—
instGroupAbsoluteGaloisGroup 📖	CompOp	2 math math: absoluteGaloisGroup.commutator_closure_isNormal, instIsTopologicalGroupAbsoluteGaloisGroup
instTopologicalSpaceAbsoluteGaloisGroup 📖	CompOp	2 math math: absoluteGaloisGroup.commutator_closure_isNormal, instIsTopologicalGroupAbsoluteGaloisGroup

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
instIsTopologicalGroupAbsoluteGaloisGroup 📖	mathematical	—	IsTopologicalGroup absoluteGaloisGroup instTopologicalSpaceAbsoluteGaloisGroup instGroupAbsoluteGaloisGroup	—	—

Field.absoluteGaloisGroup

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
commutator_closure_isNormal 📖	mathematical	—	Subgroup.Normal Field.absoluteGaloisGroup Field.instGroupAbsoluteGaloisGroup Subgroup.topologicalClosure Field.instTopologicalSpaceAbsoluteGaloisGroup Field.instIsTopologicalGroupAbsoluteGaloisGroup commutator	—	Subgroup.is_normal_topologicalClosure Field.instIsTopologicalGroupAbsoluteGaloisGroup

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