Theorems · Definition · group theory
AddGroupExtension.quotientRangeInlEquivRight
{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) → E ⧸ S.inl.range ≃+ GThe isomorphism E ⧸ S.inl.range ≃+ G induced by S.rightHom
- Defined in
- Mathlib.GroupTheory.GroupExtension.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, 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.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- HasQuotient.Quotientstatement · cited by 2,301
- AddEquivstatement · cited by 1,087
- AddMonoidHom.rangestatement and proof · cited by 142
- AddGroupExtensionstatement and proof · cited by 50
- AddGroupExtension.inlstatement and proof · cited by 20
- AddGroupExtension.range_inl_eq_ker_rightHomproof · cited by 5
- QuotientAddGroup.liftEquivproof · cited by 2
- AddGroupExtension.rightHom_surjectiveproof · cited by 0
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.