Theorems · Theorem · group theory
AddSubgroup.add_injective_of_disjoint
∀ {G : Type u_1} [inst : AddGroup G] {H₁ H₂ : AddSubgroup G}, Disjoint H₁ H₂ → Function.Injective fun g => ↑g.1 + ↑g.2- Defined in
- Mathlib.Algebra.Group.Subgroup.Lattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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Cites11
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
- Disjointstatement and proof · cited by 2,201
- add_assocproof · cited by 746
- Subtype.propproof · cited by 505
- add_neg_eq_zeroproof · cited by 20
- neg_add_eq_zeroproof · cited by 14
- neg_add_eq_iff_eq_addproof · cited by 7
- AddSubgroup.disjoint_iff_add_eq_zeroproof · cited by 2
- AddSubgroup.coe_addproof · cited by 1
- AddSubgroup.coe_negproof · cited by 1
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