Theorems · Theorem · group theory
AddGroupExtension.Splitting.rightHom_comp_splitting
∀ {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} (s : S.Splitting), S.rightHom.comp ↑s = AddMonoidHom.id G- Defined in
- Mathlib.GroupTheory.GroupExtension.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
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Cites11
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
- AddMonoidHomstatement · cited by 3,230
- AddMonoidHom.compstatement · cited by 339
- AddMonoidHomClass.toAddMonoidHomstatement · cited by 232
- AddMonoidHom.extproof · cited by 149
- AddMonoidHom.idstatement · cited by 107
- AddGroupExtensionstatement and proof · cited by 50
- AddMonoidHom.id_applyproof · cited by 29
- AddGroupExtension.rightHomstatement · cited by 28
- AddGroupExtension.Splittingstatement and proof · cited by 11
- AddGroupExtension.Splitting.rightHom_splittingproof · cited by 1
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