Theorems · Theorem · group theory
AddSubgroup.isFiniteRelIndex_of_le_left
∀ {G : Type u_1} [inst : AddGroup G] {H K : AddSubgroup G} (L : AddSubgroup G) [H.IsFiniteRelIndex L],
H ≤ K → K.IsFiniteRelIndex L- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddSubgroup.IsFiniteRelIndexstatement and proof · cited by 17
- AddSubgroup.isFiniteRelIndex_iff_finiteIndexproof · cited by 2
- AddSubgroup.finiteIndex_of_leproof · cited by 1
- AddSubgroup.addSubgroupOf_monoproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- AddSubgroup.isFiniteRelIndex_of_leproof · cited by 0
- Submodule.isFiniteRelIndex_of_map_linearMapMulLeft_leproof · cited by 0