Theorems · Theorem · group theory
Subgroup.normalizerMonoidHom_apply_symm_apply_coe
∀ {G : Type u_1} [inst : Group G] (H : Subgroup G) (x : ↥(Subgroup.normalizer ↑H)) (a : ↥H),
↑((MulEquiv.symm (H.normalizerMonoidHom x)) a) = (↑x)⁻¹ * ↑a * ↑x- Defined in
- Mathlib.GroupTheory.Subgroup.Centralizer
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- SetLike.coestatement and proof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- MulEquivstatement · cited by 1,142
- inv_invproof · cited by 494
- MulEquiv.symmstatement · cited by 482
- MulAutstatement · cited by 158
- Subgroup.normalizerstatement and proof · cited by 108
- Subgroup.normalizerMonoidHomstatement · cited by 10
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