Theorems · Definition · group theory

Representation.IsTrivial.recOn

{k : Type u_1} →
  {G : Type u_2} →
    {V : Type u_3} →
      [inst : Semiring k] →
        [inst_1 : Monoid G] →
          [inst_2 : AddCommMonoid V] →
            [inst_3 : Module k V] →
              {ρ : Representation k G V} →
                {motive : ρ.IsTrivial → Sort u} →
                  (t : ρ.IsTrivial) → ((out : ∀ (g : G), ρ g = LinearMap.id) → motive ⋯) → motive t

Defined in

Mathlib.RepresentationTheory.Basic

Cited by

0 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Quot.sound

Assumes

SemiringMonoidAddCommMonoidModule