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Theorems · Theorem · group theory

Subgroup.op_unop

∀ {G : Type u_2} [inst : Group G] (S : Subgroup Gᵐᵒᵖ), S.unop.op = S
Defined in
Mathlib.Algebra.Group.Subgroup.MulOpposite
Cited by
3 results in Mathlib
Foundations
Depth 28 from the axioms · uses propext, Quot.sound
Assumes
Group
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Around this declaration

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

Subgroup.opEquiv · cited by 18Subgroup.opEquivSubgroup.normal_unop · cited by 2Subgroup.normal_unopSubgroup.unop_closure · cited by 0Subgroup.unop_closureSubgroup.unop_normalizer · cited by 0Subgroup.unop_normalizerGroup · cited by 6238GroupSubgroup · cited by 3593SubgroupMulOpposite · cited by 1135MulOppositeSubgroup.op · cited by 58Subgroup.opSubgroup.unop · cited by 30Subgroup.unopSubgroup.op_unopCITED BYCITES

Cites5

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

Cited by4

Results whose statement or proof uses this declaration.