Theorems · Theorem · group theory
AddSemiconjBy.nsmul_right
∀ {M : Type u_2} [inst : AddMonoid M] {a x y : M}, AddSemiconjBy a x y → ∀ (n : ℕ), AddSemiconjBy a (n • x) (n • y)- Defined in
- Mathlib.Algebra.Group.Semiconj.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- zero_nsmulproof · cited by 137
- succ_nsmulproof · cited by 65
- AddSemiconjBystatement and proof · cited by 56
- AddSemiconjBy.zero_rightproof · cited by 3
- AddSemiconjBy.add_rightproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- AddCommute.nsmul_rightproof · cited by 4
- AddSemiconjBy.zsmul_rightproof · cited by 1
- AddSemiconjBy.addUnits_zsmul_rightproof · cited by 1
- IsAddConj.nsmulproof · cited by 0
- AddSemiconjBy.addOrderOf_eqproof · cited by 0