Theorems · Theorem · group theory
one_pow
∀ {M : Type u_2} [inst : Monoid M] (n : ℕ), 1 ^ n = 1- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 521 results in Mathlib
- Foundations
- Depth 11 from the axioms, rests on 56 definitions · uses no axioms
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
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
Cited by521
Results whose statement or proof uses this declaration.
- Finset.prod_const_oneproof · cited by 100
- one_zpowproof · cited by 44
- Even.neg_one_powproof · cited by 20
- Odd.neg_one_powproof · cited by 18
- geom_sum_mulproof · cited by 15
- orthonormal_iff_iteproof · cited by 15
- neg_one_sqproof · cited by 14
- sq_eq_one_iffproof · cited by 14
- Nat.finiteMultiplicity_iffproof · cited by 13
- pow_mod_orderOfproof · cited by 12
- Int.cast_negOnePowproof · cited by 10
- groupHomology.comp_d₂₁_eqproof · cited by 10
Showing the 200 most cited of 521.