Theorems · Inductive type · group theory
AddGroupExtension.Section
{N : Type u_1} →
{E : Type u_2} →
{G : Type u_3} →
[inst : AddGroup N] → [inst_1 : AddGroup E] → [inst_2 : AddGroup G] → AddGroupExtension N E G → Type (max u_2 u_3)Section of an additive group extension is a right inverse to S.rightHom.
- Defined in
- Mathlib.GroupTheory.GroupExtension.Defs
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement · cited by 4,410
- AddGroupExtensionstatement · cited by 50
Cited by26
Results whose statement or proof uses this declaration.
- AddGroupExtension.Section.rightHom_sectionstatement and proof · cited by 4
- AddGroupExtension.Section.rightInverse_rightHomstatement and proof · cited by 2
- AddGroupExtension.Section.add_add_add_neg_mem_range_inlstatement and proof · cited by 1
- AddGroupExtension.Section.add_neg_add_add_mem_range_inlstatement and proof · cited by 1
- AddGroupExtension.Section.add_neg_mem_range_inlstatement and proof · cited by 1
- AddGroupExtension.Section.equivCompstatement and proof · cited by 1
- AddGroupExtension.Section.neg_add_mem_range_inlstatement and proof · cited by 1
- AddGroupExtension.Section.toFunstatement and proof · cited by 1
- AddGroupExtension.Section.mk.injstatement · cited by 1
- AddGroupExtension.Section.mk.noConfusionstatement · cited by 1
- AddGroupExtension.Section.casesOnstatement and proof · cited by 0
- AddGroupExtension.Section.coe_mkstatement · cited by 0