Theorems · Theorem · group theory
Group.mulLeft_bijective
∀ {G : Type u_5} [inst : Group G] (a : G), Function.Bijective fun x => a * x- Defined in
- Mathlib.Algebra.Group.Units.Equiv
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
- Assumes
- Group
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.
- Groupstatement and proof · cited by 6,238
- Function.Bijectivestatement · cited by 863
- Equiv.bijectiveproof · cited by 132
- Equiv.mulLeftproof · cited by 19
Cited by7
Results whose statement or proof uses this declaration.
- Finset.smul_prod_permproof · cited by 3
- DirichletCharacter.sum_characters_eq_zeroproof · cited by 1
- Representation.self_comp_normproof · cited by 1
- GroupAlgebra.mul_average_leftproof · cited by 1
- Matrix.permanent_permute_colsproof · cited by 1
- Representation.FiniteCyclicGroup.coinvariantsKer_leftRegular_eq_kerproof · cited by 0
- groupCohomology.isMulCoboundary₁_of_isMulCocycle₁_of_aut_to_unitsproof · cited by 0