Theorems · Theorem · group theory
add_zsmul_add
∀ {G : Type u_3} [inst : AddGroup G] (a b : G) (n : ℤ), n • (a + b) + a = a + n • (b + a)- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- AddGroup
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Cites7
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
- add_assocproof · cited by 746
- natCast_zsmulproof · cited by 118
- negSucc_zsmulproof · cited by 45
- eq_add_neg_iff_add_eqproof · cited by 12
- neg_add_eq_iff_eq_addproof · cited by 7
- add_nsmul_addproof · cited by 1
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