Theorems · Theorem · group theory
mul_one
∀ {M : Type u} [inst : MulOneClass M] (a : M), a * 1 = a- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 3,885 results in Mathlib
- Foundations
- Depth 5 from the axioms, rests on 18 definitions · uses no axioms
- Assumes
- MulOneClass
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
- MulOneClass.mul_oneproof · cited by 1
Cited by3,885
Results whose statement or proof uses this declaration.
- div_oneproof · cited by 629
- Nat.cast_mulproof · cited by 309
- LinearMap.ext_ringproof · cited by 152
- inv_posproof · cited by 124
- Algebra.algebraMap_eq_smul_oneproof · cited by 119
- Polynomial.coeff_mapproof · cited by 114
- dvd_reflproof · cited by 97
- Associated.symmproof · cited by 87
- Finset.prod_singletonproof · cited by 78
- inv_mul_cancel_rightproof · cited by 70
- Ideal.eq_top_iff_oneproof · cited by 56
- Complex.exp_addproof · cited by 55
Showing the 200 most cited of 3,885.