Theorems · Theorem · group theory
AddGroupExtension.IsAddConj.trans
∀ {N : Type u_1} {G : Type u_2} [inst : AddGroup N] [inst_1 : AddGroup G] {E : Type u_3} [inst_2 : AddGroup E]
(S : AddGroupExtension N E G) {s₁ s₂ s₃ : S.Splitting}, S.IsAddConj s₁ s₂ → S.IsAddConj s₂ s₃ → S.IsAddConj s₁ s₃N-conjugacy is transitive.
- Defined in
- Mathlib.GroupTheory.GroupExtension.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- AddGroupstatement and proof · cited by 4,410
- map_addproof · cited by 964
- add_assocproof · cited by 746
- AddGroupExtensionstatement and proof · cited by 50
- AddGroupExtension.inlproof · cited by 20
- neg_one_zsmulproof · cited by 14
- AddGroupExtension.Splittingstatement and proof · cited by 11
- neg_one_zsmul_addproof · cited by 5
- AddGroupExtension.IsAddConjstatement and proof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.