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Theorems · Theorem · order theory

WithBot.coe_nsmul

∀ {α : Type u} [inst : AddMonoid α] (a : α) (n : ℕ), ↑(n • a) = n • ↑a
Defined in
Mathlib.Algebra.Order.Monoid.Unbundled.WithTop
Cited by
1 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddMonoid
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Around this declaration

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

Associates.is_pow_of_dvd_count · cited by 1Associates.is_pow_of_dvd_…AddMonoid · cited by 2864AddMonoidWithBot · cited by 1498WithBotWithBot.some · cited by 541WithBot.someAddMonoidHom.map_nsmul · cited by 18AddMonoidHom.map_nsmulWithBot.addHom · cited by 3WithBot.addHomWithBot.coe_nsmulCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.