Mathlib Map

Theorems · Theorem · group theory

AddSubgroup.addSubgroupOf_inj

∀ {G : Type u_1} [inst : AddGroup G] {H₁ H₂ K : AddSubgroup G},
  H₁.addSubgroupOf K = H₂.addSubgroupOf K ↔ H₁ ⊓ K = H₂ ⊓ K
Defined in
Mathlib.Algebra.Group.Subgroup.Map
Cited by
3 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Quot.sound
Assumes
AddGroup
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Around this declaration

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

AddSubgroup.addSubgroupOf_eq_top · cited by 3AddSubgroup.addSubgroupOf…AddSubgroup.inf_addSubgroupOf_right · cited by 3AddSubgroup.inf_addSubgro…AddSubgroup.addSubgroupOf_eq_bot · cited by 1AddSubgroup.addSubgroupOf…AddGroup · cited by 4410AddGroupAddSubgroup · cited by 3232AddSubgroupAddSubgroup.addSubgroupOf · cited by 87AddSubgroup.addSubgroupOfSetLike.ext_iff · cited by 64SetLike.ext_iffAddSubgroup.mem_addSubgroupOf · cited by 14AddSubgroup.mem_addSubgro…AddSubgroup.mem_inf · cited by 8AddSubgroup.mem_infAddSubgroup.addSubgroupOf_injCITED BYCITES

Cites6

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Cited by3

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