Theorems · Theorem · group theory
pow_one
∀ {M : Type u_2} [inst : Monoid M] (a : M), a ^ 1 = a- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 894 results in Mathlib
- Foundations
- Depth 10 from the axioms, rests on 52 definitions · uses no axioms
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by894
Results whose statement or proof uses this declaration.
- pow_twoproof · cited by 150
- zpow_oneproof · cited by 41
- MvPolynomial.eval₂_Xproof · cited by 36
- Polynomial.eval₂_Xproof · cited by 34
- Polynomial.coeff_mul_Xproof · cited by 22
- Polynomial.X_sub_C_ne_zeroproof · cited by 21
- MvPolynomial.eval₂_mulproof · cited by 21
- Polynomial.Chebyshev.T_add_twoproof · cited by 20
- Ideal.span_singleton_powproof · cited by 19
- zpow_add_oneproof · cited by 18
- IsLocalization.Away.algebraMap_isUnitproof · cited by 17
- Ideal.le_radicalproof · cited by 16
Showing the 200 most cited of 894.