Theorems · Theorem · group theory
AddMonoid.nsmul_succ
∀ {M : Type u} [self : AddMonoid M] (n : ℕ) (x : M), (n + 1) • x = n • x + xMultiplication by (n + 1 : ℕ) behaves as expected.
- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- AddMonoid
Around this declaration
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Cites1
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
Cited by1
Results whose statement or proof uses this declaration.
- succ_nsmulproof · cited by 65