Theorems · Theorem · group theory
AddSubgroup.index_inf_ne_zero
∀ {G : Type u_1} [inst : AddGroup G] {H K : AddSubgroup G}, H.index ≠ 0 → K.index ≠ 0 → (H ⊓ K).index ≠ 0- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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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
- AddSubgroup.indexstatement and proof · cited by 104
- AddSubgroup.relIndex_top_rightproof · cited by 7
- AddSubgroup.relIndex_inf_ne_zeroproof · cited by 1
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