Theorems · Theorem · group theory
AddSubgroup.coe_toAddSubmonoid
∀ {G : Type u_1} [inst : AddGroup G] (K : AddSubgroup G), ↑K.toAddSubmonoid = ↑K- Defined in
- Mathlib.Algebra.Group.Subgroup.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SetLike.coestatement · cited by 8,199
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddSubmonoidstatement · cited by 1,178
- AddSubgroup.toAddSubmonoidstatement · cited by 91
Cited by2
Results whose statement or proof uses this declaration.
- AddSubgroup.fg_iff_addSubmonoid_fgproof · cited by 6
- AddSubgroup.toAddSubmonoid_injectiveproof · cited by 4