Theorems · Theorem · group theory
Subgroup.IsFiniteRelIndex.relIndex_ne_zero
∀ {G : Type u_1} {inst : Group G} {H K : Subgroup G} [self : H.IsFiniteRelIndex K], H.relIndex K ≠ 0- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Subgroup.IsFiniteRelIndex
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Subgroup.relIndexstatement · cited by 72
- Subgroup.IsFiniteRelIndexstatement and proof · cited by 26
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.relIndex_ne_zeroproof · cited by 5