Theorems · Theorem · group theory
Subgroup.index_strictAnti
∀ {G : Type u_1} [inst : Group G] {H K : Subgroup G}, H < K → ∀ [H.FiniteIndex], K.index < H.index- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupSubgroup.FiniteIndex
Around this declaration
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Cites13
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
- LT.lt.leproof · cited by 2,189
- LT.lt.not_geproof · cited by 305
- lt_of_le_of_neproof · cited by 230
- Subgroup.indexstatement and proof · cited by 150
- Subgroup.FiniteIndexstatement and proof · cited by 113
- Subgroup.relIndexproof · cited by 72
- Subgroup.relIndex_mul_indexproof · cited by 14
- Subgroup.FiniteIndex.index_ne_zeroproof · cited by 12
- mul_eq_right₀proof · cited by 7
- Subgroup.relIndex_eq_oneproof · cited by 6
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