Theorems · Theorem · group theory
AddSubgroup.ker_inclusion
∀ {G : Type u_1} [inst : AddGroup G] {H K : AddSubgroup G} (h : H ≤ K), (AddSubgroup.inclusion h).ker = ⊥- Defined in
- Mathlib.Algebra.Group.Subgroup.Ker
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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Cites7
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 and proof · cited by 3,232
- AddMonoidHom.kerstatement · cited by 158
- Set.inclusion_injectiveproof · cited by 28
- AddSubgroup.inclusionstatement and proof · cited by 15
- AddMonoidHom.ker_eq_botproof · cited by 7
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