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Theorems · Theorem · group theory

Subgroup.normal_unop

∀ {G : Type u_2} [inst : Group G] {H : Subgroup Gᵐᵒᵖ}, H.unop.Normal ↔ H.Normal
Defined in
Mathlib.Algebra.Group.Subgroup.MulOppositeLemmas
Cited by
2 results in Mathlib
Foundations
Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Group
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Around this declaration

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

Subgroup.Normal.unop · cited by 0Normal.unopSubgroup.Normal.of_unop · cited by 0Normal.of_unopGroup · cited by 6238GroupSubgroup · cited by 3593SubgroupMulOpposite · cited by 1135MulOppositeSubgroup.Normal · cited by 334Subgroup.NormalSubgroup.unop · cited by 30Subgroup.unopSubgroup.op_unop · cited by 3Subgroup.op_unopSubgroup.normal_op · cited by 3Subgroup.normal_opSubgroup.normal_unopCITED BYCITES

Cites7

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Cited by2

Results whose statement or proof uses this declaration.