Theorems · Theorem · group theory
AddSubgroup.one_lt_index_of_ne_top
∀ {G : Type u_1} [inst : AddGroup G] {H : AddSubgroup G} [Finite (G ⧸ H)], H ≠ ⊤ → 1 < H.index- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- Finitestatement and proof · cited by 3,029
- HasQuotient.Quotientstatement and proof · cited by 2,301
- AddSubgroup.indexstatement · cited by 104
- AddSubgroup.index_eq_oneproof · cited by 4
- AddSubgroup.index_ne_zero_of_finiteproof · cited by 4
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