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Theorems · Theorem · group theory

AddGroupExtension.Section.rightInverse_rightHom

∀ {N : Type u_1} {E : Type u_2} {G : Type u_3} [inst : AddGroup N] [inst_1 : AddGroup E] [inst_2 : AddGroup G]
  {S : AddGroupExtension N E G} (self : S.Section), Function.RightInverse self.toFun ⇑S.rightHom

Section is a right inverse to S.rightHom

Defined in
Mathlib.GroupTheory.GroupExtension.Defs
Cited by
2 results in Mathlib
Foundations
Depth 11 from the axioms · uses no axioms
Assumes
AddGroupAddGroupAddGroup
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddGroupExtension.Section.rightHom_section · cited by 4Section.rightHom_sectionAddGroupExtension.Section.rightHom_comp_section · cited by 0Section.rightHom_comp_sec…DFunLike.coe · cited by 62936DFunLike.coeAddGroup · cited by 4410AddGroupAddMonoidHom · cited by 3230AddMonoidHomAddGroupExtension · cited by 50AddGroupExtensionAddGroupExtension.rightHom · cited by 28AddGroupExtension.rightHomAddGroupExtension.Section · cited by 16AddGroupExtension.SectionAddGroupExtension.Section.toFun · cited by 1Section.toFunSection.rightInverse_rightHomCITED BYCITES

Cites7

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Cited by2

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