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Theorems · Theorem · group theory

AddSubgroup.inclusion_range

∀ {G : Type u_1} [inst : AddGroup G] {H K : AddSubgroup G} (h_le : H ≤ K),
  (AddSubgroup.inclusion h_le).range = H.addSubgroupOf K
Defined in
Mathlib.Algebra.Group.Subgroup.Ker
Cited by
1 results in Mathlib
Foundations
Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddGroup
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Around this declaration

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

AddSubgroup.relIndex_addSubgroupOf · cited by 1AddSubgroup.relIndex_addS…AddGroup · cited by 4410AddGroupAddSubgroup · cited by 3232AddSubgroupAddMonoidHom.range · cited by 142AddMonoidHom.rangeSet.ext_iff · cited by 90Set.ext_iffAddSubgroup.addSubgroupOf · cited by 87AddSubgroup.addSubgroupOfAddSubgroup.ext · cited by 75AddSubgroup.extAddSubgroup.inclusion · cited by 15AddSubgroup.inclusionSet.range_inclusion · cited by 12Set.range_inclusionAddSubgroup.inclusion_rangeCITED BYCITES

Cites8

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Cited by1

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