Theorems · Theorem · group theory
AddSubgroup.coe_add
∀ {G : Type u_1} [inst : AddGroup G] (H : AddSubgroup G) (x y : ↥H), ↑(x + y) = ↑x + ↑y- Defined in
- Mathlib.Algebra.Group.Subgroup.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.add_injective_of_disjointproof · cited by 0