Mathlib Map

Theorems · Definition · group theory

nsmulRecAuto

{M : Type u_2} → [AddSemigroup M] → [Zero M] → ℕ → M → M

An abbreviation for nsmulRec with an additional typeclass assumptions on associativity so that we can use @[csimp] to replace it with an implementation by repeated doubling in compiled code as an automatic parameter.

Defined in
Mathlib.Algebra.Group.Defs
Cited by
2 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
AddSemigroupZero
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

nsmulRec_eq_nsmulBinRec · cited by 1nsmulRec_eq_nsmulBinRecnsmulBinRec_succ · cited by 0nsmulBinRec_succAddSemigroup · cited by 136AddSemigroupnsmulRecAutoCITED BYCITES

Cites1

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Cited by2

Results whose statement or proof uses this declaration.