Theorems · Theorem · group theory
AddSubgroup.map_ker_self
∀ {G : Type u_1} [inst : AddGroup G] {N : Type u_5} [inst_1 : AddGroup N] (f : G →+ N), AddSubgroup.map f f.ker = ⊥- Defined in
- Mathlib.Algebra.Group.Subgroup.Ker
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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
- le_reflproof · cited by 2,061
- AddSubgroup.mapstatement · cited by 189
- AddMonoidHom.kerstatement and proof · cited by 158
- AddSubgroup.map_eq_bot_iffproof · cited by 6
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