Theorems · Theorem · group theory
AddMonoid.nsmul_zero
∀ {M : Type u} [self : AddMonoid M] (x : M), 0 • x = 0Multiplication by (0 : ℕ) gives 0.
- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
- AddMonoid.toZerostatement · cited by 325
Cited by1
Results whose statement or proof uses this declaration.
- zero_nsmulproof · cited by 137