Theorems · Theorem · group theory
nsmulRec_add
∀ {M : Type u} [inst : Zero M] [inst_1 : AddSemigroup M] (m n : ℕ),
n ≠ 0 → ∀ (a : M), 0 + a = a → nsmulRec (m + n) a = nsmulRec m a + nsmulRec n a- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- ZeroAddSemigroup
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.
- add_assocproof · cited by 746
- AddSemigroupstatement and proof · cited by 136
Cited by1
Results whose statement or proof uses this declaration.
- nsmulRec_succproof · cited by 0