Theorems · Theorem · group theory
QuotientAddGroup.quotientMapAddSubgroupOfOfLe_mk
∀ {G : Type u} [inst : AddGroup G] {A' A B' B : AddSubgroup G} [_hAN : (A'.addSubgroupOf A).Normal]
[_hBN : (B'.addSubgroupOf B).Normal] (h' : A' ≤ B') (h : A ≤ B) (x : ↥A),
(QuotientAddGroup.quotientMapAddSubgroupOfOfLe h' h) ↑x = ↑((AddSubgroup.inclusion h) x)- Defined in
- Mathlib.GroupTheory.QuotientGroup.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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- DFunLike.coestatement · cited by 62,936
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidHomstatement · cited by 3,230
- HasQuotient.Quotientstatement · cited by 2,301
- QuotientAddGroup.mkstatement · cited by 348
- AddSubgroup.Normalstatement and proof · cited by 183
- AddSubgroup.addSubgroupOfstatement and proof · cited by 87
- AddSubgroup.inclusionstatement · cited by 15
- QuotientAddGroup.quotientMapAddSubgroupOfOfLestatement · cited by 1
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