Theorems · Theorem · group theory
AddSubgroup.index_eq_zero_of_relIndex_eq_zero
∀ {G : Type u_1} [inst : AddGroup G] {H K : AddSubgroup 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
- AddGroup
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Cites7
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
- le_topproof · cited by 411
- AddSubgroup.indexstatement · cited by 104
- AddSubgroup.relIndexstatement and proof · cited by 67
- AddSubgroup.relIndex_top_rightproof · cited by 7
- AddSubgroup.relIndex_eq_zero_of_le_rightproof · cited by 5
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