Theorems · Theorem · group theory
AddSubmonoid.subtype_injective
∀ {M : Type u_4} [inst : AddZeroClass M] (s : AddSubmonoid M), Function.Injective ⇑s.subtype- Defined in
- Mathlib.Algebra.Group.Submonoid.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
- Assumes
- AddZeroClass
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.
- DFunLike.coestatement · cited by 62,936
- AddMonoidHomstatement · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- AddSubmonoidstatement and proof · cited by 1,178
- Subtype.coe_injectiveproof · cited by 205
- AddSubmonoid.subtypestatement · cited by 28
Cited by1
Results whose statement or proof uses this declaration.
- AddMonoid.exponent_addSubmonoid_dvdproof · cited by 0