Theorems · Theorem · group theory
Representation.apply_bijective
∀ {k : Type u_1} {G : Type u_2} {V : Type u_3} [inst : Semiring k] [inst_1 : Group G] [inst_2 : AddCommMonoid V]
[inst_3 : Module k V] (ρ : Representation k G V) (g : G), Function.Bijective ⇑(ρ g)- Defined in
- Mathlib.RepresentationTheory.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- LinearMapstatement · cited by 10,215
- Groupstatement and proof · cited by 6,238
- Function.Bijectivestatement · cited by 863
- Representationstatement and proof · cited by 396
- Equiv.bijectiveproof · cited by 132
- Representation.inv_self_applyproof · cited by 12
- Representation.self_inv_applyproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- groupHomology.single_mem_cycles₁_iffproof · cited by 1
- Representation.apply_eq_of_coe_eqproof · cited by 0
- groupHomology.single_mem_cycles₂_iffproof · cited by 0