Theorems · Theorem · group theory
Monoid.npow_zero
∀ {M : Type u} [self : Monoid M] (x : M), x ^ 0 = 1Raising to the power (0 : ℕ) gives 1.
- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- Monoid
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.
- Monoidstatement and proof · cited by 3,887
- Monoid.toOnestatement · cited by 34
Cited by1
Results whose statement or proof uses this declaration.
- pow_zeroproof · cited by 1,094