Theorems · Theorem · group theory
AddSubgroup.toAddSubmonoid_injective
∀ {G : Type u_1} [inst : AddGroup G], Function.Injective AddSubgroup.toAddSubmonoid- Defined in
- Mathlib.Algebra.Group.Subgroup.Defs
- Cited by
- 4 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- SetLike.coeproof · 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 and proof · cited by 91
- SetLike.ext'_iffproof · cited by 78
- AddSubgroup.coe_toAddSubmonoidproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- AddSubgroup.eq_bot_iff_forallproof · cited by 11
- AddSubgroup.toAddSubmonoid_injproof · cited by 3
- DFinsupp.range_mapRangeAddMonoidHomproof · cited by 1
- DFinsupp.ker_mapRangeAddMonoidHomproof · cited by 1