Theorems · Theorem · group theory
AddMonoidHom.comap_bot
∀ {G : Type u_1} [inst : AddGroup G] {N : Type u_5} [inst_1 : AddGroup N] (f : G →+ N), AddSubgroup.comap f ⊥ = f.ker- Defined in
- Mathlib.Algebra.Group.Subgroup.Ker
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botstatement · cited by 4,720
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddMonoidHomstatement and proof · cited by 3,230
- AddMonoidHom.kerstatement · cited by 158
- AddSubgroup.comapstatement · cited by 123
Cited by6
Results whose statement or proof uses this declaration.
- AddSubgroup.ker_le_comapproof · cited by 4
- AddSubgroup.index_kerproof · cited by 3
- AddMonoidHom.ker_comp_of_injectiveproof · cited by 1
- AddMonoidHom.range_eq_bot_iffproof · cited by 1
- AddMonoidHom.ker_prodMapproof · cited by 0
- AddSubgroup.relIndex_kerproof · cited by 0