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Theorems · Theorem · group theory

AddSubgroupClass.inclusion_mk

∀ {G : Type u_1} [inst : AddGroup G] {S : Type u_4} {H K : S} [inst_1 : SetLike S G] [inst_2 : AddSubgroupClass S G]
  [inst_3 : LE S] [inst_4 : IsConcreteLE S G] {h : H ≤ K} (x : G) (hx : x ∈ H),
  (AddSubgroupClass.inclusion h) ⟨x, hx⟩ = ⟨x, ⋯⟩
Defined in
Mathlib.Algebra.Group.Subgroup.Defs
Cited by
0 results in Mathlib
Foundations
Depth 23 from the axioms · uses propext, Quot.sound
Assumes
AddGroupSetLikeAddSubgroupClassLEIsConcreteLE
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DFunLike.coe · cited by 62936DFunLike.coeAddGroup · cited by 4410AddGroupAddMonoidHom · cited by 3230AddMonoidHomSetLike · cited by 1084SetLikeAddSubgroupClass · cited by 240AddSubgroupClassIsConcreteLE · cited by 28IsConcreteLEmem_of_le_of_mem · cited by 9mem_of_le_of_memAddSubgroupClass.inclusion · cited by 5AddSubgroupClass.inclusionAddSubgroupClass.inclusion_mkCITED BYCITES

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