Theorems · Theorem · number theory
isApproximateAddSubgroup_zero
∀ {G : Type u_1} [inst : AddGroup G] {A : Set G}, IsApproximateAddSubgroup 1 A ↔ ∃ H, ↑H = AA 1-approximate subgroup is the same thing as a subgroup.
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- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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Cites37
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement · cited by 25,697
- Finsetproof · cited by 13,712
- SetLike.coestatement and proof · cited by 8,199
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- add_zeroproof · cited by 2,707
- Finset.cardproof · cited by 2,327
- HVAdd.hVAddproof · cited by 1,820
- neg_add_revproof · cited by 236
- Finset.coe_singletonproof · cited by 145
- Finset.coe_emptyproof · cited by 109
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