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Theorems · Theorem · group theory

Subgroup.normal_op

∀ {G : Type u_2} [inst : Group G] {H : Subgroup G}, H.op.Normal ↔ H.Normal
Defined in
Mathlib.Algebra.Group.Subgroup.MulOppositeLemmas
Cited by
3 results in Mathlib
Foundations
Depth 71 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 2Subgroup.normal_unopSubgroup.Normal.of_op · cited by 0Normal.of_opSubgroup.Normal.op · cited by 0Normal.opTop.top · cited by 9680Top.topSetLike.coe · cited by 8199SetLike.coeGroup · cited by 6238GroupSubgroup · cited by 3593SubgroupMulOpposite · cited by 1135MulOppositeSubgroup.Normal · cited by 334Subgroup.NormalSubgroup.normalizer · cited by 108Subgroup.normalizerSubgroup.op · cited by 58Subgroup.opSubgroup.normal_opCITED BYCITES

Cites8

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.