Theorems · Theorem · group theory
Representation.Equiv.right_inv
∀ {A : Type u_1} {G : Type u_2} {V : Type u_3} {W : Type u_4} [inst : Semiring A] [inst_1 : Monoid G]
[inst_2 : AddCommMonoid V] [inst_3 : AddCommMonoid W] [inst_4 : Module A V] [inst_5 : Module A W]
{ρ : Representation A G V} {σ : Representation A G W} (self : ρ.Equiv σ),
Function.RightInverse self.invFun (↑self).toFun- Cited by
- 3 results in Mathlib
- Foundations
- Depth 35 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.
- 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
- Monoidstatement and proof · cited by 3,887
- Representationstatement and proof · cited by 396
- Representation.IntertwiningMap.toLinearMapstatement · cited by 205
- AddHom.toFunstatement · cited by 168
- LinearMap.toAddHomstatement · cited by 165
- Representation.Equivstatement and proof · cited by 60
- Representation.Equiv.toIntertwiningMapstatement · cited by 46
- Representation.Equiv.invFunstatement · cited by 7
Cited by4
Results whose statement or proof uses this declaration.
- Representation.Equiv.toLinearEquivproof · cited by 10
- Representation.Equiv.apply_symm_applyproof · cited by 2
- Representation.Equiv.toLinearEquiv_injectiveproof · cited by 1
- Rep.indCoindIso_inv_hom_toLinearMapstatement · cited by 0