Theorems · Theorem · group theory
GroupExtension.inl_conjAct_comm
∀ {N : Type u_1} {E : Type u_2} {G : Type u_3} [inst : Group N] [inst_1 : Group E] [inst_2 : Group G]
(S : GroupExtension N E G) {e : E} {n : N}, S.inl ((S.conjAct e) n) = e * S.inl n * e⁻¹The inclusion and a conjugation commute.
- Defined in
- Mathlib.GroupTheory.GroupExtension.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
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- GroupExtension.inlstatement and proof · cited by 22
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- MulAut.conjNormalproof · cited by 9
- MonoidHom.apply_ofInjective_symmproof · cited by 4
- GroupExtension.inl_injectiveproof · cited by 1
- GroupExtension.conjActstatement · cited by 1
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