Theorems · Theorem · group theory
AddSubgroup.addUnit_of_mem_ofAddUnits_spec_mem
∀ {M : Type u_1} [inst : AddMonoid M] (S : AddSubgroup (AddUnits M)) {x : M} {h : x ∈ S.ofAddUnits},
S.addUnit_of_mem_ofAddUnits h ∈ S- Defined in
- Mathlib.Algebra.Group.Submonoid.Units
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidstatement and proof · cited by 2,864
- AddSubmonoidstatement · cited by 1,178
- AddUnitsstatement and proof · cited by 325
- AddSubgroup.ofAddUnitsstatement and proof · cited by 30
- AddSubgroup.addUnit_of_mem_ofAddUnitsstatement · cited by 4
- AddSubgroup.mem_of_mem_val_ofAddUnitsproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.addUnit_mem_of_mem_ofAddUnitsproof · cited by 1