Theorems · Theorem · group theory
Representation.Equiv.ext
∀ {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} {φ ψ : ρ.Equiv σ}, ⇑φ = ⇑ψ → φ = ψ- Cited by
- 3 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- 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.IntertwiningMapproof · cited by 261
- Representation.IntertwiningMap.toLinearMapproof · cited by 205
- AddHom.toFunproof · cited by 168
- LinearMap.toAddHomproof · cited by 165
- Representation.Equivstatement and proof · cited by 60
- Representation.Equiv.casesOnproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Representation.Equiv.trans_symmproof · cited by 0
- Representation.Equiv.ext_iffproof · cited by 0
- Representation.Equiv.symm_transproof · cited by 0