Theorems · Theorem · group theory
AddSubgroup.coe_inclusion
∀ {G : Type u_1} [inst : AddGroup G] {H K : AddSubgroup G} (h : H ≤ K) (a : ↥H), ↑((AddSubgroup.inclusion h) a) = ↑a- Defined in
- Mathlib.Algebra.Group.Subgroup.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroup
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- AddSubgroup.inclusionstatement · cited by 15
- Set.coe_inclusionproof · cited by 6
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