Theorems · Definition · Lie groups

OpenNormalAddSubgroup.mk.noConfusion

{G : Type u} →
  {inst : AddGroup G} →
    {inst_1 : TopologicalSpace G} →
      {P : Sort u_1} →
        {toOpenAddSubgroup : OpenAddSubgroup G} →
          {isNormal' : autoParam (↑toOpenAddSubgroup).Normal OpenNormalAddSubgroup.isNormal'._autoParam} →
            {toOpenAddSubgroup' : OpenAddSubgroup G} →
              {isNormal'' : autoParam (↑toOpenAddSubgroup').Normal OpenNormalAddSubgroup.isNormal'._autoParam} →
                { toOpenAddSubgroup := toOpenAddSubgroup, isNormal' := isNormal' } =
                    { toOpenAddSubgroup := toOpenAddSubgroup', isNormal' := isNormal'' } →
                  (toOpenAddSubgroup ≍ toOpenAddSubgroup' → P) → P

Defined in: Mathlib.Topology.Algebra.OpenSubgroup
Cited by: 1 results in Mathlib
Foundations: Depth 14 from the axioms · uses no axioms

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

TopologicalSpacestatement and proof · cited by 24,529
AddGroupstatement and proof · cited by 4,410
AddSubgroup.Normalstatement and proof · cited by 183
OpenAddSubgroupstatement and proof · cited by 47
OpenAddSubgroup.toAddSubgroupstatement and proof · cited by 27
OpenNormalAddSubgroupstatement · cited by 20
OpenNormalAddSubgroup.noConfusionproof · cited by 0

Cited by1

Results whose statement or proof uses this declaration.

OpenNormalAddSubgroup.mk.injproof · cited by 1