Theorems · Theorem · group theory
Subgroup.coe_toSubmonoid
∀ {G : Type u_1} [inst : Group G] (K : Subgroup G), ↑K.toSubmonoid = ↑K- Defined in
- Mathlib.Algebra.Group.Subgroup.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- Assumes
- Group
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
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Submonoidstatement · cited by 3,086
- Subgroup.toSubmonoidstatement · cited by 114
Cited by3
Results whose statement or proof uses this declaration.
- Subgroup.fg_iff_submonoid_fgproof · cited by 5
- MonoidWithZeroHom.valueMonoid_eq_valueGroup'proof · cited by 2
- Subgroup.toSubmonoid_injectiveproof · cited by 2