Theorems · Theorem · group theory
NatPowAssoc.npow_zero
∀ {M : Type u_2} {inst : MulOneClass M} {inst_1 : Pow M ℕ} [self : NatPowAssoc M] (x : M), x ^ 0 = 1Exponent zero is one.
- Defined in
- Mathlib.Algebra.Group.NatPowAssoc
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- NatPowAssoc
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.
- MulOneClassstatement and proof · cited by 1,018
- NatPowAssocstatement and proof · cited by 53
Cited by1
Results whose statement or proof uses this declaration.
- npow_zeroproof · cited by 14