Theorems · Theorem · group theory
Subgroup.index_eq_zero_of_relIndex_eq_zero
∀ {G : Type u_1} [inst : Group G] {H K : Subgroup G}, H.relIndex K = 0 → H.index = 0- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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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
- le_topproof · cited by 411
- Subgroup.indexstatement · cited by 150
- Subgroup.relIndexstatement and proof · cited by 72
- Subgroup.relIndex_top_rightproof · cited by 6
- Subgroup.relIndex_eq_zero_of_le_rightproof · cited by 5
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