Theorems · Inductive type · group theory
AddGroupExtension
(N : Type u_1) → (E : Type u_2) → (G : Type u_3) → [AddGroup N] → [AddGroup E] → [AddGroup G] → Type (max (max u_1 u_2) u_3)
AddGroupExtension N E G is a short exact sequence of additive groups 0 → N → E → G → 0.
- Defined in
- Mathlib.GroupTheory.GroupExtension.Defs
- Cited by
- 50 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement · cited by 4,410
Cited by95
Results whose statement or proof uses this declaration.
- AddGroupExtension.rightHomstatement and proof · cited by 28
- AddGroupExtension.inlstatement and proof · cited by 20
- AddGroupExtension.Equivstatement · cited by 16
- AddGroupExtension.Sectionstatement · cited by 16
- AddGroupExtension.Splittingstatement · cited by 11
- AddGroupExtension.range_inl_eq_ker_rightHomstatement and proof · cited by 5
- AddGroupExtension.Equiv.symmstatement and proof · cited by 4
- AddGroupExtension.Section.rightHom_sectionstatement and proof · cited by 4
- AddGroupExtension.Equiv.toAddEquivstatement and proof · cited by 3
- AddGroupExtension.IsAddConjstatement and proof · cited by 3
- AddGroupExtension.Equiv.reflstatement and proof · cited by 2
- AddGroupExtension.Equiv.transstatement and proof · cited by 2