Theorems · Theorem · group theory

FiniteIndexNormalSubgroup.mk.inj

∀ {G : Type u_1} {inst : Group G} {toSubgroup : Subgroup G}
  {isNormal' : autoParam toSubgroup.Normal FiniteIndexNormalSubgroup.isNormal'._autoParam}
  {isFiniteIndex' : autoParam toSubgroup.FiniteIndex FiniteIndexNormalSubgroup.isFiniteIndex'._autoParam}
  {toSubgroup_1 : Subgroup G}
  {isNormal'_1 : autoParam toSubgroup_1.Normal FiniteIndexNormalSubgroup.isNormal'._autoParam}
  {isFiniteIndex'_1 : autoParam toSubgroup_1.FiniteIndex FiniteIndexNormalSubgroup.isFiniteIndex'._autoParam},
  { toSubgroup := toSubgroup, isNormal' := isNormal', isFiniteIndex' := isFiniteIndex' } =
      { toSubgroup := toSubgroup_1, isNormal' := isNormal'_1, isFiniteIndex' := isFiniteIndex'_1 } →
    toSubgroup = toSubgroup_1

Defined in: Mathlib.GroupTheory.FiniteIndexNormalSubgroup
Cited by: 1 results in Mathlib
Foundations: Depth 15 from the axioms · uses no axioms

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Groupstatement and proof · cited by 6,238
Subgroupstatement and proof · cited by 3,593
Subgroup.Normalstatement and proof · cited by 334
Subgroup.FiniteIndexstatement and proof · cited by 113
FiniteIndexNormalSubgroupstatement · cited by 27
FiniteIndexNormalSubgroup.mk.noConfusionproof · cited by 1

Cited by1

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FiniteIndexNormalSubgroup.mk.injEqproof · cited by 0