Theorems · Theorem · group theory
Subgroup.toSubmonoid_inj
∀ {G : Type u_1} [inst : Group G] {p q : Subgroup G}, p.toSubmonoid = q.toSubmonoid ↔ p = q- Defined in
- Mathlib.Algebra.Group.Subgroup.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Submonoidstatement · cited by 3,086
- Subgroup.toSubmonoidstatement · cited by 114
- Subgroup.toSubmonoid_injectiveproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- SubMulAction.stabilizer_of_subMulproof · cited by 0